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Photometric study for the short period contact binary V724 And 短周期接触双星 V724 And 的光度研究
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-10-31 DOI: 10.1016/j.newast.2024.102318
Bin Zhang , Yi-Dan Gao , Zhen Zhong , Bing Lv
We present the new light curve synthesis and orbital period change analysis of V724 And. We found that it is a W-subtype contact binary system with a mass ratio of q = 2.31 and a fill-out factor of f = 10.8%. The weak O’Connell effect can be explained by a cool star-spot on the more massive component star. By analyzing orbital period changes, it is found that the target displays a secular period decrease superimposed on a cyclic oscillation. The orbital period decreases at a rate of dp/dt = −4.13 × 10−8 d yr−1, which can be explained by the mass transfer from the more massive one to the less massive component. The new discovery suggests that the semi-amplitude and period of the cyclic variation are A = 0.0013 d and P = 10.54 yr, respectively, which implies that V724 And is a possibly triple system. The minimum mass of the tertiary companion is estimated as M3min = 0.054 M, which plays an important role during the formation and evolution of the central binary system.
我们对 V724 And 进行了新的光曲线合成和轨道周期变化分析。我们发现它是一个 W 亚型接触双星系统,质量比为 q = 2.31,填充因子为 f = 10.8%。较弱的奥康纳尔效应可以用质量较大的组成恒星上的冷星点来解释。通过分析轨道周期的变化,可以发现该目标在周期性振荡的基础上又出现了周期性下降。轨道周期的下降速率为 dp/dt = -4.13 × 10-8 d yr-1,这可以用质量较大的成分向质量较小的成分的质量转移来解释。新发现表明,周期变化的半振幅和周期分别为 A = 0.0013 d 和 P = 10.54 yr,这意味着 V724 And 可能是一个三重系统。三级伴星的最小质量估计为 M3min = 0.054 M⊙,它在中心双星系统的形成和演化过程中起着重要作用。
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引用次数: 0
TESS and AAVSO observations of the eclipsing Z Cam-type cataclysmic variable V416 Dra TESS和美国天文观测台(AAVSO)对Z Cam型大灾变V416 Dra的蚀变观测
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-10-31 DOI: 10.1016/j.newast.2024.102319
Hongfei Yang, Zhongtao Han, Weiwei Na, Hushan Xu, Tingting Yang
We present a photometric analysis of the eclipsing Z Cam-type dwarf nova V416 Dra based on TESS and AAVSO data. The AAVSO light curve, spanning nearly 17 years, shows numerous outbursts recurring approximately every 20.2 and 38.6 days. We examined the amplitude vs. recurrence-time relation in V416 Dra, which appears to reflect the common characteristics of long outbursts in Z Cam stars. The TESS light curves revealed that V416 Dra is a shallow eclipse binary and shows some SU UMa-like superoutbursts, which may be related to the special structure of the accretion disk. The period-searching results show that there are the forest of peaks within the period range of 0.4–2.5 days, related to donor star’s activity. Moreover, we also find the presence of some typical quasi-periodic oscillation (QPO) signals with periods of 14–41 and 177–200 min, respectively. These results will help us locate the origin of the QPOs in V416 Dra accurately.
我们根据TESS和AAVSO的数据,对日食Z Cam型矮新星V416 Dra进行了光度分析。AAVSO的光变曲线跨越了近17年的时间,显示了大约每20.2天和38.6天发生一次的多次爆发。我们研究了V416 Dra的振幅与爆发时间的关系,这似乎反映了Z Cam星长爆发的共同特征。TESS光曲线显示,V416 Dra是一颗浅食双星,并出现了一些类似于SU UMa的超爆发,这可能与吸积盘的特殊结构有关。周期搜索结果表明,在0.4-2.5天的周期范围内存在着峰林,这与供体星的活动有关。此外,我们还发现了一些典型的准周期振荡(QPO)信号,周期分别为 14-41 分钟和 177-200 分钟。这些结果将有助于我们准确定位 V416 Dra 中 QPO 的起源。
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引用次数: 0
Predicting the Physical Properties of Dark Matter Subhalos from Baryonic Parameters Using Machine Learning 利用机器学习从重子参数预测暗物质亚halos的物理特性
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-10-20 DOI: 10.1016/j.newast.2024.102316
Moonzarin Reza
Dark matter subhalos play an important role in galaxy formation and evolution. However, accurate prediction of dark matter properties remains a challenge of modern-day astronomy. In recent times, machine learning (ML) tools have shown promising results in solving numerous astrophysical problems. In this paper, we use data from the EAGLE simulations to determine the total mass and the half-mass radius of dark matter subhalos using structural properties of gas, star, black hole, and photometric features using gradient boosted decision trees (GBDT) and dense neural network. GBDT does not require data preprocessing, and results in better performance compared to the neural network. According to GBDT, the most important feature for subhalo radius and mass estimation is gas radius and black hole mass respectively. The all-features combined approach results in the highest test accuracy — Pearson’s correlation coefficient = 0.947 and 0.981, coefficient of determination = 0.898 and 0.962, normalized median absolute deviation = 0.111 and 0.114 for radius and mass respectively. We evaluate our model for masses and redshifts beyond its training range and find that GBDT demonstrates significantly better extrapolation capabilities than the neural network. We also test our model on simulations with different resolutions, and find that the discrepancies lie within 10% if the resolution is changed. This novel study incorporates the structural parameters of gas and black hole to determine the dark matter properties using a ML-based approach. The promising results of this study prove that ML tools can improve our current understanding of dark matter, and answer some of the basic cosmological questions.
暗物质亚halos 在星系形成和演化过程中发挥着重要作用。然而,准确预测暗物质特性仍然是现代天文学面临的一项挑战。近来,机器学习(ML)工具在解决众多天体物理问题方面取得了可喜的成果。在本文中,我们利用来自 EAGLE 模拟的数据,使用梯度提升决策树(GBDT)和密集神经网络,利用气体、恒星、黑洞的结构特性和光度特征来确定暗物质亚halos 的总质量和半质量半径。GBDT 不需要数据预处理,与神经网络相比性能更好。根据梯度提升决策树,估计子晕半径和质量的最重要特征分别是气体半径和黑洞质量。结合所有特征的方法获得了最高的测试精度--对于半径和质量,皮尔逊相关系数分别为 0.947 和 0.981,判定系数分别为 0.898 和 0.962,归一化中位绝对偏差分别为 0.111 和 0.114。我们对超出训练范围的质量和红移模型进行了评估,发现 GBDT 的外推能力明显优于神经网络。我们还在不同分辨率的模拟中测试了我们的模型,发现如果改变分辨率,差异在 10%以内。这项新颖的研究结合了气体和黑洞的结构参数,利用基于 ML 的方法确定了暗物质的属性。这项研究的良好结果证明,ML 工具可以改善我们目前对暗物质的理解,并回答一些基本的宇宙学问题。
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引用次数: 0
Slowly rotating charged Bardeen stellar structure 缓慢旋转的带电巴丁恒星结构
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-10-04 DOI: 10.1016/j.newast.2024.102314
Adnan Malik , Zoya Asghar , M. Farasat Shamir , Fatemah Mofarreh
This paper is devoted to investigating the dynamics of charged stellar structures with Bardeen exterior geometry. For this purpose, firstly a proposed metric coefficient is utilized, which is defined as a=N1+2hr2m/2. Here, h and N are arbitrary constants determined from matching conditions and m is a positive integer. The pressure and density profiles are found to be positive and monotonically decreasing, with maximum values occurring at the center. Furthermore, the energy conditions and causality conditions are satisfied, and the adiabatic index falls within an acceptable range. The second part of the paper focuses on the dynamics of rotating stars. Numerical values for relevant parameters are assumed to obtain the masses and radii of stars within the desired range. Five different compact stars, namely, VelaX1, CenX3, 4U182030, 4U160852, and PSR1903+327, are considered. The behavior of the moment of inertia of the sphere against the solar mass is investigated, revealing an increase in the moment of inertia with an increase in solar mass. Furthermore, the relationships of mass and energy density against the radius of the compact structure exhibit natural behavior, supporting the acceptability of the analysis. Overall, the study supports the existence of realistic charged compact structures with Bardeen exterior geometry.
本文致力于研究具有巴丁外部几何形状的带电恒星结构的动力学。这里,h 和 N 是根据匹配条件确定的任意常数,m 是正整数。研究发现,压力和密度曲线均为正值且单调递减,最大值出现在中心位置。此外,还满足了能量条件和因果关系条件,绝热指数也在可接受的范围内。论文的第二部分侧重于旋转恒星的动力学。假定了相关参数的数值,以便在所需范围内获得恒星的质量和半径。本文考虑了五颗不同的紧凑型恒星,即 VelaX-1、CenX-3、4U1820-30、4U1608-52 和 PSR1903+327。研究了球体惯性矩与太阳质量的关系,发现惯性矩随着太阳质量的增加而增加。此外,质量和能量密度与紧凑结构半径的关系表现出自然的行为,支持了分析的可接受性。总之,这项研究支持了具有巴丁外部几何形状的现实带电紧凑结构的存在。
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引用次数: 0
Composition tracking for collisions between differentiated bodies in REBOUND 在 REBOUND 中对不同物体之间的碰撞进行构图跟踪
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-10-01 DOI: 10.1016/j.newast.2024.102315
Noah Ferich , Anna C. Childs , Jason H. Steffen
Previous research suggests that impacts between planetary embryos and planetesimals during the late stages of planet formation can often determine the percentages of core and mantle material that compose the newly formed planets in a system. Previous studies have attempted to include the composition-changing effects of these collisions in N-body simulations of planet formation, often as post-processing codes. In this paper, we present the Differentiated Body Composition Tracker, a new post-processing tool that uses collisional data collected from the N-body integrator REBOUND to determine the amount of core and mantle material that is transferred between colliding objects and the resulting fragments during an impact. We demonstrate how this code works using the data from 50 REBOUND simulations of planet formation and explore how the parameters in the code affect the core mass fractions of the remaining objects from these simulations. We then investigate how non-uniform distributions of core material across an initial disc affect the final core mass fractions of planets. Under ideal conditions, we find that a combination of giant impacts and planetary embryos enriched in core material could create some of the iron-rich planets that have been discovered.
以往的研究表明,行星形成后期行星胚胎和行星基本体之间的撞击通常可以决定一个系统中新形成行星的内核和地幔物质的组成比例。以往的研究试图将这些碰撞对成分改变的影响纳入行星形成的 N-体模拟中,通常是作为后处理代码。在本文中,我们将介绍 "差异体成分跟踪器"(Differentiated Body Composition Tracker),这是一种新的后处理工具,它使用从 N-body 积分器 REBOUND 收集到的碰撞数据来确定在碰撞过程中在碰撞物体和产生的碎片之间转移的核心和地幔物质的数量。我们利用 50 个 REBOUND 模拟行星形成的数据演示了该代码的工作原理,并探讨了代码中的参数如何影响这些模拟中剩余天体的核心质量分数。然后,我们研究了内核物质在初始圆盘上的非均匀分布如何影响行星的最终内核质量分数。我们发现,在理想条件下,巨型撞击和内核物质丰富的行星胚胎相结合,可以产生一些已经发现的富铁行星。
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引用次数: 0
NcorpiON : A O(N) software for N-body integration in collisional and fragmenting systems NcorpiON:用于碰撞和碎片系统中 N 体整合的 O(N) 软件
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-09-27 DOI: 10.1016/j.newast.2024.102313
Jérémy Couturier, Alice C. Quillen, Miki Nakajima
NcorpiON is a general purpose N-body software initially developed for the time-efficient integration of collisional and fragmenting systems of planetesimals or moonlets orbiting a central mass. It features a fragmentation model, based on crater scaling and ejecta models, able to realistically simulate a violent impact.
The user of NcorpiON can choose between four different built-in modules to compute self-gravity and detect collisions. One of these makes use of a mesh-based algorithm to treat mutual interactions in O(N) time. Another module, much more efficient than the standard Barnes–Hut tree code, is a O(N) tree-based algorithm called FalcON. It relies on fast multipole expansion for gravity computation and we adapted it to collision detection as well. Computational time is reduced by building the tree structure using a three-dimensional Hilbert curve. For the same precision in mutual gravity computation, NcorpiON is found to be up to 25 times faster than the famous software REBOUND.
NcorpiON is written entirely in the C language and only needs a C compiler to run. A python add-on, that requires only basic python libraries, produces animations of the simulations from the output files. NcorpiON can communicate with REBOUND’s webGL viewer via MPI for 3D visualization. The name NcorpiON, reminding of a scorpion, comes from the French N-corps, meaning N-body, and from the mathematical notation O(N), due to the running time of the software being almost linear in the total number N of bodies. NcorpiON detects collisions and computes mutual gravity faster than REBOUND, and unlike other N-body integrators, it can resolve a collision by fragmentation. The fast multipole expansions are implemented up to order eight to allow for a high precision in mutual gravity computation.
NcorpiON 是一款通用 N 体软件,最初是为高效整合环绕中心质量的类地行星或小行星的碰撞和碎裂系统而开发的。NcorpiON 的用户可以选择四种不同的内置模块来计算自重力和检测碰撞。其中一个模块利用基于网格的算法在 O(N) 时间内处理相互影响。另一个模块比标准的巴恩斯-胡特树代码更高效,它是一种基于树的 O(N) 算法,名为 FalcON。它依靠快速多极扩展进行重力计算,我们也将其用于碰撞检测。通过使用三维希尔伯特曲线构建树形结构,计算时间得以缩短。在相互重力计算精度相同的情况下,NcorpiON 比著名软件 REBOUND 快 25 倍。NcorpiON 完全由 C 语言编写,只需一个 C 编译器即可运行。一个只需基本 Python 库的 Python 附加组件可从输出文件中生成模拟动画。NcorpiON 可通过 MPI 与 REBOUND 的 webGL 浏览器通信,实现 3D 可视化。NcorpiON 的名字让人联想到蝎子,它来自法文 N-corps,意为 N 个体,也来自数学符号 O(N),因为软件的运行时间几乎与 N 个体的总数成线性关系。NcorpiON 检测碰撞和计算相互引力的速度比 REBOUND 更快,而且与其他 N 体积分器不同,它可以通过碎裂来解决碰撞问题。快速多极扩展的阶数高达 8 阶,从而实现了高精度的相互引力计算。
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引用次数: 0
Study of solar activities associated with a Halo CME on 17 Feb 2023 event 与 2023 年 2 月 17 日晕 CME 事件相关的太阳活动研究
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-09-24 DOI: 10.1016/j.newast.2024.102312
A Ansar Ahamed , S Prasanna Subramanian , A Mujiber Rahman , A Kubera Raja , K Mahalakshmi , TK Thirumalaisamy
In the present work, propagation of an earth directed fast and wide Coronal Mass Ejection event on 17 February 2023 is studied in detail. The complex magnetic configuration in the Active Region (AR) 13229 at N25E64 caused an intensive X2.3 flare with a peak at 19:38 UT. It is followed by a massive halo CME event observed in the LASCO C3 coronagraph with a linear speed of 930 km/s and shock speed of 1300 km/s. A low frequency Type II emission was detected in the frequency range 10 MHz – 180 kHz during 20:30 UT-04:45 UT on 18 Feb 2023 by space borne Wind/WAVES instrument. From the OMNI data, the IP shock and the ICME reached earth's magnetosphere on 20 Feb 2023. A fast forward type shock was observed using OMNI high resolution data. The IP shock and ICME affected the Galactic Cosmic ray (GCR) detection. This event caused large magnetic turbulences in sheath region caused a major geomagnetic storm (∼-100 nT).
在本研究中,详细研究了2023年2月17日发生的面向地球的快速、大范围日冕物质抛射事件的传播。位于N25E64的13229活动区(AR)中复杂的磁场构造引发了一次强烈的X2.3耀斑,峰值出现在世界标准时间19:38。随后,LASCO C3日冕仪观测到了大质量晕状 CME 事件,线速度为 930 公里/秒,冲击速度为 1300 公里/秒。美国东部时间2023年2月18日20:30-04:45期间,Wind/WAVES空间仪器探测到频率范围在10兆赫-180千赫的低频II型发射。根据 OMNI 数据,IP 冲击和 ICME 于 2023 年 2 月 20 日到达地球磁层。利用 OMNI 高分辨率数据观测到了快速前进型冲击。IP 冲击和 ICME 影响了银河宇宙射线(GCR)探测。这一事件在鞘区引起了巨大的磁湍流,导致了一场大地磁风暴(∼-100 nT)。
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引用次数: 0
Discovery of 226 δ Scuti and γ Doradus Stars near NGC 6871 with TESS 利用 TESS 发现 NGC 6871 附近的 226 颗 [略去公式] Scuti 和 [略去公式] Doradus 星
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-09-14 DOI: 10.1016/j.newast.2024.102297
Ai-Ying Zhou

We present the discovery of 269 pulsating variable stars of δ Scuti, γ Doradus, and Maia types in the vicinity of the open cluster NGC 6871, using data from the Transiting Exoplanet Survey Satellite (TESS). Our small-scale regional survey centered on the δ Scuti star V1821 Cyg in the open cluster NGC 6871, covering a radius of one degree. The results include a remarkable total of 1512 newly classified variable stars, comprising the following categories: 105 δ Scuti stars, 121 γ Doradus stars, 50 Maia variables, 198 eclipsing binary systems, with 12 exhibiting pulsating or rotating components, 500+ rotating variable stars, and dozens of other types. Out of 1512 newly discovered variable stars, 108 are confirmed members of NGC 6871 with a membership probability exceeding 50%. Notably, dedicated Fourier analyses were applied to eight representative stars from the newly discovered variables. Among these, one star exhibits a rich and complex pulsation spectrum characterized by amplitude variations in dominant pulsations. To contextualize the new pulsators, we plotted them in the Hertzsprung–Russell diagrams alongside the largest known group of class member stars. Surprisingly, both δ Scuti and γ Doradus stars occupy nearly the same region in the diagrams, hinting at a potential unified pulsation mechanism. This study contributes valuable insights into the variability census of NGC 6871 and sheds light on the pulsation behavior of different stellar types. Further investigations into the physical properties and evolutionary status of these stars are warranted.

我们利用凌日系外行星巡天卫星(TESS)的数据,在疏散星团NGC 6871附近发现了269颗δ Scuti、γ Doradus和Maia型脉动变星。我们的小规模区域巡天以疏散星团NGC 6871中的δ Scuti星V1821 Cyg为中心,半径为1度。研究结果包括总共 1512 颗新分类的变星,其中包括以下类别:105颗δ Scuti星,121颗γ Doradus星,50颗Maia变星,198颗食双星系统,其中12颗表现出脉动或旋转成分,500多颗旋转变星,以及数十种其他类型。在新发现的1512颗变星中,有108颗被确认为NGC 6871的成员,成员概率超过50%。值得注意的是,对新发现变星中的八颗代表性恒星进行了专门的傅立叶分析。其中有一颗恒星的脉动谱丰富而复杂,主要脉动的振幅变化非常明显。为了明确新脉冲星的背景,我们在赫兹普朗-罗素图中把它们与已知的最大一类成员恒星并列在一起。令人惊讶的是,δ Scuti 星和γ Doradus 星几乎占据了图中的同一区域,这暗示了一种潜在的统一脉动机制。这项研究为NGC 6871的变率普查提供了宝贵的见解,并揭示了不同类型恒星的脉动行为。我们有必要对这些恒星的物理性质和演化状态做进一步的研究。
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引用次数: 0
Investigation of motion around out-of-plane points in the restricted three-body problem with variable shape and masses 对形状和质量可变的受限三体问题中平面外点周围运动的研究
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-09-12 DOI: 10.1016/j.newast.2024.102311
Oni Leke , Veronica Cyril-Okeme , Shima Stephen , Jessica Gyegwe

The paper examines out-of-plane equilibrium points (OEPs) of the restricted three-body problem with variable masses and shape. The bigger primary varies it shape as the lengths of the semi-axes vary with time. For the autonomized system, two pair of OEPs L6,7κ and L8,9κ, are obtained and differ from those of the non-autonomous system due to time t. The stability of OEPs of both systems is found to be unstable. Further, numerical illustrations is provided when variations in shape of the bigger primary is, a triaxial prolate, a sphere and a triaxial oblate shape. The positions, stability and zero velocity curves (ZVC) of the particle around the OEPs are explored. It is seen that when the bigger primary is a triaxial prolate body, the OEPs L8,9κ are closer to the primaries than L6,7κ. However, the converse happens when it is a triaxial oblate body. Also, when the bigger primary is a triaxial oblate body, the OEPs are farther away from the primaries than when it is a triaxial prolate. In the case of the ZVC, it is seen that when the bigger primary is a triaxial prolate body, there is a petal around it, and region of allowed motion of the particle increases, while the region reduces when the bigger primary evolves from a sphere to a triaxial oblate body. This study can be used to describe motion of a dust grain in the vicinity of Betelgeuse, a red giant star whose mass and shape changes with time and its stellar companion.

本文研究了质量和形状可变的受限三体问题的平面外平衡点(OEP)。当半轴长度随时间变化时,较大的主轴会改变其形状。对于自主系统,得到了两对 OEP 点 L6,7κ 和 L8,9κ,由于时间 t 的不同,这两对 OEP 点与非自主系统的 OEP 点不同。此外,我们还提供了数值说明,说明当较大的原电池的形状发生变化时的情况,即三轴向长圆形、球形和三轴向扁圆形。探讨了粒子在 OEPs 周围的位置、稳定性和零速度曲线(ZVC)。结果表明,当较大的原初体是三轴长方体时,OEPs L8、9κ 比 L6、7κ 更接近原初体。然而,如果是三轴扁圆体,情况则相反。此外,当较大的主星是三轴扁圆体时,OEPs 与主星的距离比三轴长方体时要远。就 ZVC 而言,当较大的原初体为三轴长扁球体时,其周围会出现一个花瓣,粒子的允许运动区域会增大,而当较大的原初体从球体演变为三轴扁球体时,该区域会缩小。这项研究可用于描述一颗尘粒在参宿四附近的运动,参宿四是一颗质量和形状随时间变化的红巨星,它的伴星也是一颗红巨星。
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引用次数: 0
Analysis of relativistic stellar model under the influence of dark energy equation of state 暗能量状态方程影响下的相对论恒星模型分析
IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-09-06 DOI: 10.1016/j.newast.2024.102310
Ritika Joshi, Pratibha Fuloria, Pramesh Tamta

Dark energy, one of the mysterious and impactful forms of energy in the cosmos has a crucial role in propelling the rapid expansion of the cosmos. As a result it is highly likely that dark energy interacts with astrophysical objects in some direct or indirect way. The present paper introduces a simplified method to simulate the interaction between energy and conspicuous baryonic matter. It is accomplished by using a dense pulsar named PSRJ1614-2230 as a representative model star. The study involves solving Einsteins field equations within the stars interior using the Kuchowicz spacetime framework. The solutions obtained are then analyzed across physical as well as geometrical parameters such as metric potentials, pressure, density and energy conditions. Based on this analysis, it is suggested that the formation of the star embraced with dark energy equation of state exhibits stability. Importantly the proposed stellar model does not have any singularities, meets the stability criteria. Additionally, numerical results for the adiabatic and abreu index indicate that the model star displays stiffness and resilience against radial adiabatic perturbations.

暗能量是宇宙中神秘而有影响力的能量形式之一,在推动宇宙快速膨胀方面起着至关重要的作用。因此,暗能量极有可能以某种直接或间接的方式与天体物理物体相互作用。本文介绍了一种模拟能量与明显重子物质之间相互作用的简化方法。该方法以一颗名为 PSRJ1614-2230 的高密度脉冲星为代表模型星。这项研究包括利用 Kuchowicz 时空框架求解恒星内部的爱因斯坦场方程。然后根据物理和几何参数,如度量势、压力、密度和能量条件,对得到的解进行分析。在此分析基础上,提出了暗能量状态方程下恒星环抱的形成具有稳定性。重要的是,所提出的恒星模型没有任何奇点,符合稳定性标准。此外,绝热指数和阿布鲁指数的数值结果表明,模型恒星对径向绝热扰动表现出刚性和弹性。
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