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Anti-de Sitter momentum space in 3D and 4D quantum gravity 三维和四维量子引力中的反德西特动量空间
Pub Date : 2024-03-07 DOI: 10.1088/1361-6382/ad3163
Giovanni Amelino-Camelia, I. Lobo, Giovanni Palmisano
There has been strong interest in the possibility that in the quantum-gravity realm momentum space might be curved, mainly focusing, especially for what concerns phenomenological implications, on the case of a de Sitter momentum space. We here take as starting point the known fact that quantum gravity coupled to matter in $2+1$ spacetime dimensions gives rise to an effective picture characterized by a momentum space with anti-de Sitter geometry, and we point out some key properties of $2+1$-dimensional anti-de Sitter momentum space. We observe that it is impossible to implement all of these properties in theories with a $3+1$-dimensional anti-de Sitter momentum space, and we then investigate, with the aim of providing guidance to the relevant phenomenology focusing on possible modified laws of conservation of momenta, the implications of giving up, in the $3+1$-dimensional case, some of the properties of the $2+1$-dimensional case.
在量子引力领域,动量空间可能是弯曲的,这引起了人们的强烈兴趣,尤其是在现象学影响方面,人们主要关注德西特动量空间的情况。在此,我们以一个已知事实为出发点,即在 2+1$ 时空维度中与物质耦合的量子引力会产生一幅有效的图景,其特征是具有反德西特几何的动量空间,我们还指出了 2+1$ 维反德西特动量空间的一些关键特性。我们注意到,在具有 3+1$ 维反德西特动量空间的理论中不可能实现所有这些性质,然后我们研究了在 3+1$ 维情况下放弃 2+1$ 维情况下的某些性质的影响,目的是为相关现象学提供指导,重点是可能修改的力矩守恒定律。
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引用次数: 0
Bulk viscous late acceleration under near equilibrium conditions in f(R; T ) gravity with mixed dark matter. 具有混合暗物质的 f(R; T ) 引力近平衡条件下的体粘性后期加速度。
Pub Date : 2024-03-06 DOI: 10.1088/1361-6382/ad3082
Vishnu A Pai, Titus K. Mathew
Numerous studies have tried to explain the observed late acceleration of the Universe as being caused by the bulk viscosity associated with the dark matter component. However, for driving the said accelerated expansion, all such models require a violation of Near Equilibrium Conditions (NEC) associated with the background viscous theory. But recently, it was found that, with the aid of a cosmological constant, it is possible to maintain NEC for the bulk viscous warm dark matter during certain evolutionary epochs of the Universe. Nevertheless, this negated the possibility of having a ‘solely’ viscous-driven late acceleration in Einstein gravity within the NEC limit. In the present study, we investigate a model of the universe composed of mixed dark matter components, with viscous dark matter (vDM), and inviscid cold dark matter (CDM) as its constituents, in the context of R + 2λTvm gravity, and show that the model predicts late acceleration by satisfying NEC, critical energy condition (CEC) and second law of thermodynamics (SLT) throughout the evolution, even in the absence of a cosmological constant. One intriguing feature observed in this model is the possibility of having a negative bulk viscous coefficient and yet satisfying the second law of thermodynamics. Finally, by applying both theoretical and observational constraints on the model parameters, we determined the best-fit values of model parameters and thereby analyzed the evolutionary behavior of some relevant cosmological observables.
许多研究都试图将观测到的宇宙晚期加速现象解释为是由与暗物质成分相关的体积粘性引起的。然而,要驱动上述加速膨胀,所有这些模型都需要违反与背景粘性理论相关的 "近平衡条件"(NEC)。但最近发现,在宇宙常数的帮助下,在宇宙的某些演化纪元中,大体积粘性暖暗物质有可能保持近平衡条件(NEC)。然而,这否定了在 NEC 极限内爱因斯坦引力 "纯粹 "由粘性驱动的后期加速的可能性。在本研究中,我们以 R + 2λTvm 引力为背景,研究了一个由混合暗物质组成的宇宙模型,其成分包括粘性暗物质(vDM)和不粘性冷暗物质(CDM),结果表明,即使在没有宇宙学常数的情况下,该模型也能通过满足 NEC、临界能量条件(CEC)和热力学第二定律(SLT)来预测整个演化过程中的晚期加速。在该模型中观察到的一个引人入胜的特征是,在满足热力学第二定律的情况下,存在负的体积粘性系数的可能性。最后,通过对模型参数施加理论和观测约束,我们确定了模型参数的最佳拟合值,从而分析了一些相关宇宙学观测指标的演化行为。
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引用次数: 0
An approximate application of quantum gravity to the rotation problem 量子引力在旋转问题上的近似应用
Pub Date : 2024-03-06 DOI: 10.1088/1361-6382/ad3083
Richard Michael Jones
{Arbitrary initial conditions allow solutions of Einstein's field equations for General Relativity to have arbitrarily large relative rotation of matter and inertial frames. The ``Rotation Problem'' is to explain why the measured relative rotation rate is so small. As it turns out, nearly any reasonable theory of quantum gravity can solve the rotation problem by phase interference.} Even as early as {}{about a quarter of a second after the initial simgularity, quantum cosmology would limit the cosmologies that contribute significantly to a path integral calculation to have relative rms rotation rates less than about} {{}}{$10^{-51}$ radians per year.} Those calculations are based on using 50 e-foldings during inflation. For 55 or 60 e-foldings, the cosmologies contributing significantly to the path integral would have even smaller relative rotation rates. In addition, although inflation dominates the calculation, even if there had been no inflation, the cosmologies contributing significantly to the path integral would have relative rotation rates less than about {}{$10^{-32}$ radians per year at about a quarter of a second after the initial singularity.} These calculations are insensitive to the details of the theory of quantum gravity because the main factor depends only on the size of the visible universe, the Planck time, the free-space speed of light, the Hubble parameter, and the number of e-foldings during inflation. These calculations use the Einstein-Hilbert action in quantum gravity, {{}}{including} large-scale relative rotation of inertial frames and the matter distribution, in which each ``path'' is a cosmology with a different rms relative rotation rate. The calculations include inflation for 50, 55, and 60 e-foldings, and for values of the dependence of relative rotation rate on cosmological scale factor $a$ as $a^{-m}$ for various values of $m$. The calculation shows that the action is an extremum at zero rms relative rotation rate.
{任意的初始条件使得广义相对论爱因斯坦场方程的解具有任意大的物质和惯性框架的相对旋转。旋转问题 "旨在解释为什么测得的相对旋转率如此之小。事实证明,几乎所有合理的量子引力理论都能通过相位干涉解决旋转问题。}甚至早在{}{初始模拟后约四分之一秒,量子宇宙学就会限制对路径积分计算有重大贡献的宇宙学,使其相对均方根旋转率小于每年约}{}{$10^{-51}$弧度。这些计算是基于在膨胀过程中使用50个电子折叠。对于 55 或 60 个 e-foldings,对路径积分有重要贡献的宇宙将具有更小的相对旋转率。此外,虽然通货膨胀在计算中占主导地位,但即使没有通货膨胀,在初始奇点后约四分之一秒时,对路径积分有重要贡献的宇宙学的相对旋转率也会小于每年约{}{$10^{-32}$弧度。}这些计算对量子引力理论的细节并不敏感,因为主要因素只取决于可见宇宙的大小、普朗克时间、自由空间光速、哈勃参数以及膨胀过程中电子折叠的数量。这些计算使用了量子引力中的爱因斯坦-希尔伯特作用,{{}{包括}惯性框架的大尺度相对旋转和物质分布,其中每条 "路径 "都是具有不同均方根相对旋转率的宇宙学。计算包括50、55和60电子折叠的膨胀,以及相对旋转率对宇宙学尺度因子$a$的依赖值,即在不同的$m$值下的$a^{-m}$。计算结果表明,在均方根相对旋转率为零时,作用是一个极值。
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引用次数: 0
A torsion balance as a weak-force testbed for novel optical inertial sensors 将扭力天平作为新型光学惯性传感器的弱力试验台
Pub Date : 2024-03-05 DOI: 10.1088/1361-6382/ad29e8
Gerald Bergmann, Carolin Cordes, Christoph Gentemann, V. Händchen, Qinglan Wang, Hao Yan, K. Danzmann, G. Heinzel, Moritz Mehmet
Torsion balances (TBs) are versatile instruments known for their ability to measure tiny forces and accelerations with high precision. We are currently commissioning a new TB facility to support the development and testing of novel optical inertial sensor units for future gravity-related space missions. Here, we report on the status of our apparatus and present first sensitivity curves that demonstrate acceleration and torque sensitivities of 5 10 11 m s 2 and 1 10 12 N m H z
扭力天平(TB)是一种多功能仪器,能够高精度地测量微小的力和加速度。我们目前正在调试一台新的扭力天平设备,以支持未来重力相关太空任务中新型光学惯性传感器单元的开发和测试。在此,我们报告了我们设备的状况,并首次展示了灵敏度曲线,该曲线显示在 4 m H z 左右的频率下,加速度和扭矩灵敏度分别为 5 ⋅ 10 - 11 m s - 2 和 1 ⋅ 10 - 12 N m H z - 1。电容传感器和光学杠杆测量系统的动态,前者的位移灵敏度低至 9 ⋅ 10 - 10 m H z - 1,后者的位移灵敏度低至 2 ⋅ 10 - 11 m H z - 1。结合悬浮惯性部件(IM)的读数和环境传感器信号,对系统进行了表征,并确定了极限噪声源。我们发现,环境地震运动的耦合在很宽的频率范围内尤其具有限制性,并表明由于其对地面运动的高敏感性,我们的 TB 也是探索多自由度地面运动传感的一个很有前途的平台。未来的升级将侧重于通过使用压电致动器控制扭转纤维悬挂点来减轻地震噪声,以及集成 IM 的精密干涉读数。
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引用次数: 0
The mass gap in five dimensional Einstein–Gauss–Bonnet black holes: a geometrical explanation 五维爱因斯坦-高斯-波内特黑洞的质量差距:一种几何解释
Pub Date : 2024-03-01 DOI: 10.1088/1361-6382/ad28f8
C. Hansraj, R. Goswami, S. D. Maharaj
It is well known that, unlike in higher dimensional general relativity (GR), we cannot have a black hole with an arbitrarily small mass in five dimensional Einstein–Gauss–Bonnet gravity. When we study the dynamical black hole formation via the radiation collapse in the radiating Boulware–Deser spacetime in five dimensions, the central zero mass singularity is weak, conical and naked, and the horizon forms only when a finite amount of matter, that depends on the coupling constant of the Gauss–Bonnet term, falls into the central singularity. To understand this phenomenon transparently and geometrically, we study the radiating Boulware–Deser spacetime in five dimensions using a 1+1+3 spacetime decomposition, for the first time. We find that the geometric and thermodynamic quantities can be expressed in terms of the gravitational mass and the Gauss–Bonnet (GB) parameter and separate each of them into their Gauss–Bonnet and matter parts. Drawing comparisons with five dimensional GR at every step, we explicitly show how the mass gap arises for a general mass function M(v) and what functions for M(v) make certain geometrical quantities well defined at the central singularity. We show in the case of self-similar radiation collapse in the modified theory, the central singularity is not a sink for timelike geodesics and is extendable. This clearly demonstrates how the GB invariant affects the nature of the final state of a continual collapse in this modified theory.
众所周知,与高维度广义相对论(GR)不同,在五维度爱因斯坦-高斯-波奈引力中,我们不可能有一个任意小质量的黑洞。当我们研究五维布瓦-戴塞尔辐射时空中通过辐射坍缩形成的动力学黑洞时,中心零质量奇点是弱的、圆锥形的和裸露的,只有当有限数量的物质(取决于高斯-波内特项的耦合常数)落入中心奇点时才会形成视界。为了从几何角度透明地理解这一现象,我们首次使用 1+1+3 时空分解法研究了五维空间中的辐射布尔韦尔-戴塞尔时空。我们发现几何量和热力学量可以用引力质量和高斯-波奈(GB)参数来表示,并把它们分别分成高斯-波奈部分和物质部分。通过与五维 GR 的每一步比较,我们明确显示了一般质量函数 M(v) 的质量差距是如何产生的,以及 M(v) 的哪些函数使得某些几何量在中心奇点处定义良好。我们表明,在修正理论中的自相似辐射坍缩情况下,中心奇点不是时间似大地线的汇,而且是可扩展的。这清楚地表明了 GB 不变式如何影响该修正理论中持续坍缩最终状态的性质。
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引用次数: 0
A quantum of information in black hole evaporation 黑洞蒸发中的信息量子
Pub Date : 2024-01-26 DOI: 10.1088/1361-6382/ad2319
M. V. van Putten
Black holes evolve by evaporation of their event horizon. While this process is believed to be unitary, there is no consensus on the recovery of information in black hole entropy. A missing link is a unit of information in black hole evaporation. Distinct from Hawking radiation, we identify evaporation in entangled pairs by $mathbb{P}^2$ topology of the event horizon consistent with the Bekenstein-Hawking entropy in a uniformly spaced horizon area. It derives by continuation of $mathbb{P}^2$ in Rindler spacetime prior to gravitational collapse, subject to a tight correlation of the fundamental frequency of Quasi-Normal-Mode (QNM) ringing in gravitational and electromagnetic radiation. Information extraction from entangled pairs by detecting one over the surface spanned by three faces of a large cube carries a quantum of information of $2k_Blog3$ upon including measurement of spin.
黑洞通过其事件视界的蒸发而演化。虽然这一过程被认为是单一的,但人们对黑洞熵中信息的恢复还没有达成共识。缺失链路是黑洞蒸发中的一个信息单位。有别于霍金辐射,我们通过事件视界的$mathbb{P}^2$拓扑来识别纠缠对的蒸发,这与均匀间隔视界区域的贝肯斯坦-霍金熵是一致的。它是在引力坍缩之前的林德勒时空中通过$mathbb{P}^2$的延续推导出来的,受制于引力和电磁辐射中准常模(QNM)振铃基频的紧密相关性。通过在一个大立方体的三个面所跨越的表面上探测纠缠对中的一个,从纠缠对中提取信息,包括自旋测量在内,可获得 2k_Blog3$ 的信息量子。
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引用次数: 0
ΛCDM-Rastall cosmology revisited: constraints from a recent quasars datasample 重新审视ΛCDM-Rastall宇宙学:来自最新类星体数据样本的约束条件
Pub Date : 2024-01-17 DOI: 10.1088/1361-6382/ad1fca
Jesús Astorga Moreno, K. Jacobo, Salvador Arteaga, M. A. García-Aspeitia, Alberto Hernández Almada
In this paper we study the impact of a recent quasar datasample in the constraint of the free parameters of an extension of general relativity. As a ruler to test, we use Rastall gravity in the context of background cosmology being a simple extension to general relativity. We compare the results from quasars dataset with other known samples such as cosmic chronometers, supernovae of the Ia type, baryon acoustic oscillations, HII galaxies, and also a joint analysis. Results are consistent with the standard cosmological model emphasizing that Rastall gravity is equivalent to General Relativity. According to the constraints provided from the joint sample, the age of the Universe is τU = 12.601+0.067 −0.066 Gyrs and the transition to an accelerated phase occurs at zT = 0.620 ± 0.025 in the redshift scale, being only the phase transition consistent with the standard paradigm and having a younger Universe. With the quasars sample, the universe age differs with that expected in ΛCDM having a result of τU = 11.958+0.139 −0.109 Gyrs with a transition at zT = 0.652 ± 0.032 this last consistent with standard cosmology. A remarkable result is that quasars constraints has the capability to differentiate among general relativity and Rastall gravity due to the result for the parameter λ = −2.231+0.785 −0.546. Moreover, the parameter j under quasars constraints suggests that the cause of the late universe’s acceleration is a dark energy fluid different from a cosmological constant.
在本文中,我们研究了最近的类星体数据样本对广义相对论扩展的自由参数约束的影响。作为检验的标尺,我们使用了作为广义相对论简单扩展的背景宇宙学中的拉斯塔尔引力。我们将类星体数据集的结果与其他已知样本(如宇宙计时器、Ia 型超新星、重子声振荡、HII星系)以及联合分析进行了比较。结果与标准宇宙学模型一致,强调拉斯塔尔引力等同于广义相对论。根据联合样本提供的约束条件,宇宙的年龄为τU = 12.601+0.067 -0.066 Gyrs,在红移尺度上,向加速阶段的过渡发生在 zT = 0.620 ± 0.025,这是唯一与标准范式一致的阶段过渡,宇宙更年轻。在类星体样本中,宇宙年龄与ΛCDM的预期年龄不同,结果为τU = 11.958+0.139 -0.109 Gyrs,过渡阶段为zT = 0.652 ± 0.032。一个引人注目的结果是类星体约束能够区分广义相对论和拉斯塔引力,这是由于参数λ = -2.231+0.785 -0.546的结果。此外,类星体约束下的参数 j 表明,宇宙晚期加速的原因是暗能量流体,而不是宇宙学常数。
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引用次数: 0
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Classical and Quantum Gravity
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