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Circular motion and collisions of spinning test particles around Kerr–Kiselev black holes 围绕克尔-基谢廖夫黑洞旋转的试验粒子的圆周运动和碰撞
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-27 DOI: 10.1016/j.dark.2024.101588
Tursinbay Oteev , Farukh Abdulkhamidov , Javlon Rayimbaev , Zdeněk Stuchlík , Bobomurat Ahmedov

Exploring the effect of exotic fields around black holes on particle dynamics may help to understand the nature of dark matter and energy. The quintessential field can be treated as one of such fields. In this work, we investigate the motion of spinning particles in the vicinity of rotating black holes immersed in quintessential dark energy, characterized by the equation of state (EoS) parameter ω(1;1/3) governing the equation of state of the dark energy and dimensionless quintessential field parameter C. Using the Mathisson–Papapetrou–Dixon (MPD) equations, we derive the effective potential and study superluminal bound values for the particle spin. Also, we investigate the behaviors of the innermost and outermost stable circular orbit (ISCO & OSCO) of spinning test particles and their energy and angular momentum at the orbits. Note that the OSCO exists due to the third cosmological-like horizon caused by the quintessential field and shows that the ISCO and OSCO coincide at critical values of the quintessential field and EoS parameters, which also depend on the particle and black hole spin. Finally, we explore collisions of spinning particles and analyze the center-of-mass energies and critical angular momentum, which allows the collisions of the particles near the black hole.

探索黑洞周围的奇异场对粒子动力学的影响可能有助于理解暗物质和暗能量的本质。本质场可被视为此类场之一。在这项工作中,我们研究了旋转黑洞附近沉浸在五元暗能量中的自旋粒子的运动,其特征是支配暗能量状态方程的状态方程参数ω∈(-1;-1/3)和无量纲五元场参数C。此外,我们还研究了旋转测试粒子的最内层和最外层稳定圆轨道(ISCO & OSCO)的行为,以及它们在轨道上的能量和角动量。需要注意的是,OSCO 的存在是由于由本质场引起的第三宇宙学般的地平线,并表明 ISCO 和 OSCO 在本质场和 EoS 参数的临界值上是重合的,而这也取决于粒子和黑洞的自旋。最后,我们探讨了自旋粒子的碰撞,分析了质量中心能量和临界角动量,这使得粒子在黑洞附近发生碰撞成为可能。
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引用次数: 0
Charged anisotropic Starobinsky models admitting vanishing complexity 允许复杂性消失的带电各向异性斯塔罗宾斯基模型
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-27 DOI: 10.1016/j.dark.2024.101595
Tayyab Naseer, M. Sharif

Unveiling the notion of complexity within the static spherical distribution, this paper extends its exploration in the charged f(R) framework. For this, we start with the formulation of the modified Einstein–Maxwell field equations, describing the anisotropic interior. By orthogonally splitting the curvature tensor, a collection of specific scalars emerges, with one standout, YTF, titled as the complexity factor in the current fluid distribution. Tackling the field equations with additional degrees of freedom, we introduce the vanishing complexity condition. This condition, combined with three additional constraints, paves the way for the development of different models. The resulting solutions are also illustrated graphically for chosen parametric values. Through this analysis, we draw the compelling conclusion that all three models fulfill the essential criteria necessary for physically relevant structures to exist for specific parametric values.

本文揭示了静态球面分布中的复杂性概念,并在带电 f(R) 框架内对其进行了扩展探索。为此,我们首先提出了描述各向异性内部的修正爱因斯坦-麦克斯韦场方程。通过正交分割曲率张量,出现了一系列特定的标量,其中最突出的是 YTF,它被称为当前流体分布中的复杂性因子。在处理具有额外自由度的场方程时,我们引入了复杂性消失条件。该条件与三个额外的约束条件相结合,为开发不同的模型铺平了道路。对于所选参数值,我们还以图解的方式说明了所得到的解决方案。通过分析,我们得出了一个令人信服的结论:所有三个模型都满足特定参数值下物理相关结构存在的必要条件。
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引用次数: 0
Phase transition and central charge criticality of RN AdS black hole immersed in perfect fluid dark matter 浸没在完美流体暗物质中的 RN AdS 黑洞的相变和中心电荷临界性
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-26 DOI: 10.1016/j.dark.2024.101594
Jiaxuan Zhang, Xinglong Chen, Jun Tao

This paper delves into the thermodynamic properties of RN AdS black hole immersed in perfect fluid dark matter. We vary the Newton’s gravitational constant, cosmological constant and the perfect fluid dark matter parameter in the bulk. When studying the first law of thermodynamics for black holes, the boundary conformal field theory introduces the central charge, leading to modifications in the thermodynamic volume and chemical potential of black hole. Our analysis shows that the black hole’s free energy is affected by changes in both the central charge and the parameter of perfect fluid dark matter. The FT curve shows a swallowtail behavior when central charge is above a critical value, which means the occurrence of first-order phase transition from a small black hole to a large black hole. Additionally, we analyzed the heat capacity as a function of temperature for different PFDM parameter values to study the stability of the black hole.

本文深入研究了浸没在完美流体暗物质中的 RN AdS 黑洞的热力学性质。我们改变了牛顿引力常数、宇宙学常数和暗物质的完美流体参数。在研究黑洞热力学第一定律时,边界共形场论引入了中心电荷,导致黑洞热力学体积和化学势的改变。我们的分析表明,黑洞的自由能受到中心电荷和完美流体暗物质参数变化的影响。当中心电荷超过临界值时,F-T 曲线呈现燕尾状,这意味着发生了从小黑洞到大黑洞的一阶相变。此外,我们还分析了不同 PFDM 参数值下热容量与温度的函数关系,以研究黑洞的稳定性。
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引用次数: 0
Strong observational support for the Rh=ct timeline in the early universe 观察结果有力地支持了 Rh<mml:mo linebreak="goodbreak"
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-26 DOI: 10.1016/j.dark.2024.101587
Fulvio Melia

JWST’s recent discovery of well-formed galaxies and supermassive black holes only a few hundred Myr after the big bang seriously challenges the timeline predicted by ΛCDM. Now, the latest identification of polycyclic aromatic hydrocarbons (PAHs) at z=6.71, together with these earlier inconsistencies, makes the time compression problem in this model quite overwhelming. We consider the timeline associated with the formation and growth of PAH grains based on current astrophysical models and argue that their appearance at z=6.71 favors the structure formation history in Rh=ct rather than that of Planck-ΛCDM. We estimate the time at which they must have started growing in each case, and then trace their history through various critical events, such as the end of the ‘dark ages’, the beginning of Pop III star formation, and the onset of reionization. Together, these three distinct discoveries by JWST, viz. high-z galaxies, high-z quasars and the surprisingly early appearance of PAHs, all paint a fully consistent picture in which the timeline in ΛCDM is overly compressed at z6, while strongly supporting the expansion history in the early Universe predicted by Rh=ct.

JWST 最近发现了大爆炸后仅几百Myr就形成的良好星系和超大质量黑洞,这严重挑战了ΛCDM 预测的时间线。现在,多环芳烃(PAHs)在 z=6.71 时的最新发现,再加上之前的这些不一致,使得这个模型中的时间压缩问题变得相当棘手。我们根据当前的天体物理模型考虑了与多环芳烃颗粒的形成和生长相关的时间线,并认为它们在 z=6.71 出现有利于 Rh=ct 中的结构形成史,而不是普朗克-ΛCDM 中的结构形成史。我们估计了它们在每种情况下开始生长的时间,然后通过各种关键事件(如 "黑暗时代 "的结束、Pop III恒星形成的开始以及再电离的开始)来追溯它们的历史。JWST的这三个不同发现,即高z星系、高z类星体和令人惊讶的PAHs的早期出现,共同描绘了一幅完全一致的图景:ΛCDM中的时间线在z≳6时被过度压缩,同时强烈支持Rh=ct所预测的早期宇宙的膨胀历史。
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引用次数: 0
Circular motion and collisions of charged spinning particles near Kerr Newman black holes 克尔-纽曼黑洞附近带电旋转粒子的圆周运动和碰撞
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-26 DOI: 10.1016/j.dark.2024.101590
Akbar Davlataliev , Javlon Rayimbaev , Farukh Abdulkhamidov , Zdenek Stuchlik , Ahmadjon Abdujabbarov

We investigate the dynamics of spinning particles with an electric charge orbiting electrically charged Kerr–Newman black holes. First, we derive the equations of motion for the test particles using the Mathisson-Papapetrou-Dixon (MPD) equations, taking into account electromagnetic interaction and the interaction between the particle spin and the spacetime curvature known as the Lorentz coupling term in the MPD equation. We analyze the related effective potential in various scenarios of particle spin, angular momentum, and black hole spin orientation. In addition, we provide graphical analyses of the radius of innermost stable circular orbits (ISCOs) of the particles, their angular momentum, and energy at ISCOs and superluminal bounds. The ISCOs for positive and negatively charged particles are almost the same. The combined effects of the black hole and particle spins enhance the Coulomb interaction effect on the ISCO radius. The ISCO energy and angular momentum decrease with the increase in particle spin. In the Reissner–Nordström (RN) black hole limit, the decreasing rate is faster at positive values of the particle spin, and the spin limit changes in the Kerr–Newman black hole case. Finally, we study collisions between spinning charged particles near Kerr–Newman black holes. The critical values of the angular momentum of spinning charged particles are explored, and the particles can collide in various cases of particle and black hole spin, as well as the particle angular momentum. We also analyze electromagnetic and spin effects on the center-of-mass energy of the colliding particles.

我们研究了带电荷的旋转粒子绕带电荷的克尔-纽曼黑洞运行的动力学。首先,我们利用马蒂森-帕佩特罗-迪克森(MPD)方程推导出测试粒子的运动方程,其中考虑到了电磁相互作用以及粒子自旋与时空曲率之间的相互作用,即 MPD 方程中的洛伦兹耦合项。我们分析了粒子自旋、角动量和黑洞自旋方向的各种情况下的相关有效势。此外,我们还对粒子最内层稳定圆形轨道(ISCO)的半径、角动量以及 ISCO 和超光速边界的能量进行了图解分析。带正电和负电的粒子的 ISCO 几乎相同。黑洞和粒子自旋的共同作用增强了库仑相互作用对 ISCO 半径的影响。ISCO 的能量和角动量随着粒子自旋的增加而减小。在赖斯纳-诺德斯特伦(RN)黑洞极限中,粒子自旋为正值时下降速度更快,而在克尔-纽曼黑洞情况下,自旋极限会发生变化。最后,我们研究了自旋带电粒子在克尔-纽曼黑洞附近的碰撞。我们探讨了旋转带电粒子角动量的临界值,以及粒子和黑洞自旋以及粒子角动量的各种情况下的碰撞。我们还分析了电磁和自旋对碰撞粒子质量中心能量的影响。
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引用次数: 0
Dissipative quintessential cosmic inflation 耗散的典型宇宙膨胀
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-26 DOI: 10.1016/j.dark.2024.101592
Kourosh Nozari, Fateme Rajabi, Narges Rashidi

In this paper we construct a dissipative quintessential cosmic inflation. For this purpose, we add a multiplicative dissipative term in the standard quintessence field Lagrangian. We consider the specific form of dissipation as the time integral including the Hubble parameter and an arbitrary function that describes the dissipative properties of the quintessential scalar field. Inflation parameters and observables are calculated under slow-roll approximations and a detailed calculation of the cosmological perturbations is performed in this setup. We consider different forms of potentials and calculate the scalar spectral index and tensor-to-scalar ratio for a constant as well as variable dissipation function. To check the reliability of this model, a numerical analysis on the model parameters space is done in confrontation with recent observational data. By comparing the results with observational joint datasets at 68% and 95% confidence levels, we obtain some constraints on the model parameters space, specially the dissipation factor with e-folds numbers N=55 and N=60. As some specific results, we show that the power-law potential with a constant dissipation factor and N=60 is mildly consistent with observational data in some restricted domains of the model parameter space with very small and negative dissipation factor and a negligible tensor-to-scalar ratio. But this case with N=55 is consistent with observation considerably. For power-law potential and variable dissipation factor as Q=αϕn, the consistency with observation is also considerable with a reliable tensor-to-scalar ratio. The quadratic and quartic potentials with variable dissipation function as Q=αϕn are consistent with Planck2018 TT, TE, EE+lowE+lensing data at the 68% and 95% levels of confidence for some intervals of the parameter n.

在本文中,我们构建了一种耗散五元宇宙膨胀。为此,我们在标准五重场拉格朗日中添加了一个乘法耗散项。我们将耗散的具体形式视为时间积分,包括哈勃参数和描述五元标量场耗散特性的任意函数。膨胀参数和观测值是在慢速滚动近似条件下计算的,宇宙学扰动的详细计算也是在这种设置下进行的。我们考虑了不同形式的势,并计算了常量和变量耗散函数的标量谱指数和张量标量比。为了检验这一模型的可靠性,我们结合最近的观测数据对模型参数空间进行了数值分析。通过将结果与置信度分别为 68% 和 95% 的观测联合数据集进行比较,我们得到了模型参数空间的一些约束条件,特别是电子折叠数 N=55 和 N=60 时的耗散因子。具体结果表明,在模型参数空间的某些受限区域,耗散因子为常数、N=60 的幂律势能与观测数据温和一致,耗散因子非常小且为负值,张量与标量之比可以忽略不计。但 N=55 的情况与观测数据相当一致。对于幂律势能和 Q=αϕn 的可变耗散因子,与观测结果的一致性也很高,张量-标量比也很可靠。对于Q=αjn这种耗散函数可变的二次势和四次势,在参数n的某些区间,与Planck2018 TT、TE、EE+lowE+lensing数据的置信度分别为68%和95%。
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引用次数: 0
Dynamics of a higher-dimensional Einstein–Scalar–Gauss–Bonnet cosmology 高维爱因斯坦-斯卡拉-高斯-波内特宇宙学动力学
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-25 DOI: 10.1016/j.dark.2024.101589
Alfredo D. Millano , Claudio Michea , Genly Leon , Andronikos Paliathanasis

We study the dynamics of the field equations in a five-dimensional spatially flat Friedmann–Lemaître–Robertson–Walker metric in the context of a Gauss–Bonnet–Scalar field theory where the quintessence scalar field is coupled to the Gauss–Bonnet scalar. Contrary to the four-dimensional Gauss–Bonnet theory, where the Gauss–Bonnet term does not contribute to the field equations, in this five-dimensional Einstein–Scalar–Gauss–Bonnet model, the Gauss–Bonnet term contributes to the field equations even when the coupling function is a constant. Additionally, we consider a more general coupling described by a power-law function. For the scalar field potential, we consider the exponential function. For each choice of the coupling function, we define a set of dimensionless variables and write the field equations into a system of ordinary differential equations. We perform a detailed analysis of the dynamics for both systems and classify the stability of the equilibrium points. We determine the presence of scaling and super-collapsing solutions using the cosmological deceleration parameter. This means that our models can explain the Universe’s early and late-time acceleration phases. Consequently, this model can be used to study inflation or as a dark energy candidate.

我们以高斯-波纳-标量场理论为背景,研究了五维空间平坦弗里德曼-勒梅特尔-罗伯逊-沃克公设中的场方程动力学,其中五元标量场与高斯-波纳标量耦合。在四维高斯-波内特理论中,高斯-波内特项对场方程没有贡献,与此相反,在这个五维爱因斯坦-斯卡拉-高斯-波内特模型中,即使耦合函数是常数,高斯-波内特项也对场方程有贡献。此外,我们还考虑了由幂律函数描述的更一般的耦合。对于标量场势,我们考虑指数函数。对于每种耦合函数的选择,我们都定义了一组无量纲变量,并将场方程写入常微分方程系统。我们对这两个系统的动力学进行了详细分析,并对平衡点的稳定性进行了分类。我们利用宇宙学减速参数确定了缩放和超坍缩解的存在。这意味着我们的模型可以解释宇宙的早期和晚期加速阶段。因此,该模型可用于研究暴胀或作为暗能量候选。
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引用次数: 0
Physically viable and stable charged perfect fluid solution within F(Q) gravity F(Q)</mm 内物理上可行且稳定的带电完美流体溶液
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-25 DOI: 10.1016/j.dark.2024.101593
Jitendra Kumar , S.K. Maurya , Sourav Chaudhary , Abdelghani Errehymy , Kairat Myrzakulov , Zhanbala Umbetova

In this work, we investigate the physical behavior and stability of compact stars in F(Q) gravity. We employ the Buchdahl metric to examine the dynamics of a relativistic, newly charged, isotropic fluid model. The interplay between gravity and electromagnetism is included in the analysis of the system by taking into account the charged state of the fluid, providing insights into how charged fluids behave in gravitational theories. The exterior solution under Schwarzschild–de Sitter (dS) spacetime is linked to the interior solution at the boundary to identify the constants. It is important to note that the Buchdahl ansatz provides a mathematically viable solution for a given transformation in the context of electric charge when pressure and density are maximum in the center and monotonically fall towards the boundary. We have taken into account the compact star Her X-1 with M=(0.85±0.15)M; Radius =13.261.08+1.08 km for graphical analysis. In the context of F(Q), the physical acceptability of the model has been examined by looking at the required physical attributes, such as energy conditions, causality, hydrostatic equilibrium, pressure–density ratio, etc. that are satisfied throughout the stellar configuration. It is concluded that the present approach allows a suitable modeling of astrophysical compact objects in F(Q) gravity.

在这项工作中,我们研究了 F(Q) 引力下紧凑恒星的物理行为和稳定性。我们采用布赫达尔度量来研究一个相对论、新带电、各向同性流体模型的动力学。通过考虑流体的带电状态,引力和电磁之间的相互作用被纳入了系统分析,从而为带电流体在引力理论中的行为提供了启示。施瓦兹希尔德-德西特(dS)时空下的外部解与边界处的内部解相联系,以确定常数。值得注意的是,当压力和密度在中心达到最大值并向边界单调下降时,布赫达尔方差为电荷的给定变换提供了数学上可行的解。我们将 M=(0.85±0.15)M⊙;半径=13.26-1.08+1.08 km 的紧凑恒星 Her X-1 纳入图解分析。在 F(Q)方面,通过研究整个恒星构型所需的物理属性,如能量条件、因果关系、流体静力学平衡、压力密度比等,对模型的物理可接受性进行了检验。结论是,目前的方法可以在 F(Q) 引力下对天体物理紧凑天体进行适当建模。
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引用次数: 0
Optical properties of Euler–Heisenberg black hole surrounded by perfect fluid dark matter 被完美流体暗物质包围的欧拉-海森堡黑洞的光学特性
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-25 DOI: 10.1016/j.dark.2024.101583
G. Dilara Açan Yildiz , Allah Ditta , Asifa Ashraf , Ertan Güdekli , Yousef Mohammed Alanazi , Anvar Reyimberganov

This work explores the phenomenon of plasma lensing in weak plasma fields around Euler–Heisenberg black holes submerged in perfect fluid dark matter. For both uniform and non-uniform plasma environments, the deflection angle is systematically determined, investigating the impact of different parameters on the deflection angle in each plasma field. We also discuss on the gravitational deflection ring using the deflection angle for uniform and non-uniform plasma. We also investigate the energy collision inside the black hole, offering a thorough investigation of the relationship between energy collision, gravitational deflection, and plasma lensing for Euler–Heisenberg black holes encircled by perfect fluid dark matter. we concluded that the deflection angle in uniform plasma is greater than in non-uniform plasma. Similarly, image magnification from the source is higher in higher plasma concentration. Image is also more magnified in the uniform plasma than in the SIS plasma field. Ring deflection angle in Uniform plasma is also more than SIS plasma field.

这项研究探索了淹没在完美流体暗物质中的欧拉-海森堡黑洞周围弱等离子体场中的等离子体透镜现象。针对均匀和非均匀等离子体环境,系统地测定了偏转角,研究了不同参数对各等离子体场中偏转角的影响。我们还利用均匀和非均匀等离子体的偏转角讨论了引力偏转环。我们还研究了黑洞内部的能量碰撞,对被完美流体暗物质包围的欧拉-海森堡黑洞的能量碰撞、引力偏转和等离子体透镜之间的关系进行了深入研究。同样,等离子体浓度越高,光源的图像放大率也越高。均匀等离子体中的图像放大率也高于 SIS 等离子体场中的图像放大率。均匀等离子体中的环形偏转角也大于 SIS 等离子体场中的环形偏转角。
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引用次数: 0
Observational constraints on FLRW, Bianchi type I and V brane models 对 FLRW、比安奇 I 型和 V 型rane 模型的观测约束
IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-25 DOI: 10.1016/j.dark.2024.101591
R. Jalalzadeh , S. Jalalzadeh , B. Malekolkalami , Z. Davari
<div><p>This study explores the compatibility of Covariant Extrinsic Gravity (CEG), a braneworld scenario with an arbitrary number of non-compact extra dimensions, with current cosmological observations. We employ the chi-square statistic and Markov Chain Monte Carlo (MCMC) methods to fit the Friedmann–Lemaître–Robertson–Walker (FLRW) and Bianchi type-I and V brane models to the latest datasets, including Hubble, Pantheon+ Supernova samples, Big Bang Nucleosynthesis (BBN), Baryon Acoustic Oscillations (BAO), and the structure growth rate, <span><math><mrow><mi>f</mi><msub><mrow><mi>σ</mi></mrow><mrow><mn>8</mn></mrow></msub><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span>. Parameters for FLRW universe consist <span><math><mfenced><mrow><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mtext>(b)</mtext></mrow></msubsup><mo>,</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mtext>(cd)</mtext></mrow></msubsup><mo>,</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mtext>(k)</mtext></mrow></msubsup><mo>,</mo><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>,</mo><mi>γ</mi><mo>,</mo><msub><mrow><mi>σ</mi></mrow><mrow><mn>8</mn></mrow></msub></mrow></mfenced></math></span>, while for the Bianchi model are <span><math><mfenced><mrow><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mtext>(b)</mtext></mrow></msubsup><mo>,</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mtext>(cd)</mtext></mrow></msubsup><mo>,</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mrow><mo>(</mo><mi>β</mi><mo>)</mo></mrow></mrow></msubsup><mo>,</mo><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>,</mo><mi>γ</mi><mo>,</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow></mrow></msubsup><mo>,</mo><msub><mrow><mi>σ</mi></mrow><mrow><mn>8</mn></mrow></msub></mrow></mfenced></math></span>. By comparing our models to observational data, we determine the best values for cosmological parameters. For the FLRW model, these values depend on the sign of <span><math><mi>γ</mi></math></span> (which gives the time variation of gravitational constant in Hubble time unit): <span><math><mrow><mi>γ</mi><mo>></mo><mn>0</mn></mrow></math></span> yields <span><math><mrow><mi>γ</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>0000</mn><msubsup><mrow><mn>8</mn></mrow><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>00011</mn></mrow><mrow><mo>+</mo><mn>0</mn><mo>.</mo><mn>00015</mn></mrow></msubsup></mrow></math></span>, and <span><math><mrow><msubsup><mrow><mi>Ω</mi></mrow><mrow><mn>0</mn></mrow><mrow><mtext>(k)</mtext></mrow></msubsup><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn><msubsup><mrow><mn>4</mn></mrow><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>022</mn></mrow><mrow><mo>+</mo><mn>0</mn><mo>.</mo><mn>024</mn></mrow></msubsup></mrow></math></span> and <span><math><mrow><mi>γ</mi><mo><</mo><mn>0</mn></mrow></math></span> leads
本研究探讨了共变外引力(CEG)--一种具有任意数量非紧凑额外维度的支链世界情景--与当前宇宙学观测的兼容性。我们采用秩方统计和马尔可夫链蒙特卡洛(MCMC)方法,将弗里德曼-勒梅特-罗伯逊-沃克(FLRW)和比安奇 I 型和 V 型星系模型与最新数据集进行拟合,包括哈勃、潘神+超新星样本、大爆炸核合成(BBN)、重子声振荡(BAO)和结构增长率 fσ8(z)。FLRW宇宙的参数包括Ω0(b),Ω0(cd),Ω0(k),H0,γ,σ8,而Bianchi模型的参数包括Ω0(b),Ω0(cd),Ω0(β),H0,γ,Ω0(θ),σ8。通过比较我们的模型和观测数据,我们确定了宇宙学参数的最佳值。对于 FLRW 模型,这些值取决于 γ 的符号(以哈勃时间单位表示引力常数的时间变化):γ>0导致γ=0.00008-0.00011+0.00015,Ω0(k)=0.014-0.022+0.024;γ<0导致γ=-0.0226-0.0062+0.0054,Ω0(k)=0.023-0.041+0.039。需要注意的是,在这两种情况下,Ω0(k)>0 都代表一个封闭的宇宙。同样,对于 Bianchi Type-V brane 模型,参数值随 γ 的符号变化,结果是 γ=0.00084-0.00021+0.00019,Ω0(β)=0.0258-0.0063+0.0052,Ω0θ(×10-5)=4。γ>0时,γ=-0.00107-0.00020+0.00019,Ω0(β)=0.0259-0.0062+0.0050,Ω0θ(×10-5)=4.17-0.98+0.91。在这两种情况下,Ω0(β)>0 都代表了 Bianchi 类型-V,因为在 Bianchi 类型-I 中,β=0。随后,我们利用这些获得的最佳值,分析了哈勃参数、减速参数、距离模量、状态方程和密度参数等关键宇宙学参数的行为,这些参数是物质和暗能量几何分量的特征,是红移的函数。我们的研究结果表明,基于各种统计标准,γ<0 的 FLRW 模型比 Bianchi 模型更符合观测数据。
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We employ the chi-square statistic and Markov Chain Monte Carlo (MCMC) methods to fit the Friedmann–Lemaître–Robertson–Walker (FLRW) and Bianchi type-I and V brane models to the latest datasets, including Hubble, Pantheon+ Supernova samples, Big Bang Nucleosynthesis (BBN), Baryon Acoustic Oscillations (BAO), and the structure growth rate, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. Parameters for FLRW universe consist &lt;span&gt;&lt;math&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;(b)&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;(cd)&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;(k)&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/span&gt;, while for the Bianchi model are &lt;span&gt;&lt;math&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;(b)&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;(cd)&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;σ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/span&gt;. By comparing our models to observational data, we determine the best values for cosmological parameters. For the FLRW model, these values depend on the sign of &lt;span&gt;&lt;math&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; (which gives the time variation of gravitational constant in Hubble time unit): &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; yields &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;0000&lt;/mn&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;00011&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;00015&lt;/mn&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;(k)&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;01&lt;/mn&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;022&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;024&lt;/mn&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; leads ","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"46 ","pages":"Article 101591"},"PeriodicalIF":5.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141848171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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Physics of the Dark Universe
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