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arXiv 2108.06989gr-qcastro-ph.GAastro-ph.SR
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$f(R,\,T)$引力框架下的稳定自洽荷电引力星模型

Stable and self consistent charged gravastar model within the framework of $f(R,\,T)$ gravity

Piyali Bhar, Pramit Rej

摘要:

本文利用Mazur-Mottola猜想[P. Mazur和E. Mottola,报告编号LA-UR-01-5067; P. Mazur和E. Mottola,Proc. Natl. Acad. Sci. USA $101$,$9545$($2004$)]。引力星在概念上是文献中可用的黑洞理论的替代品,它有三个具有不同状态方程的区域。在假设引力星几何允许共形杀伤矢量的条件下,采用Mazur和Mottola提出的状态方程,求解了引力星不同区域的Einstein-Maxwell场方程。我们将我们的内部时空与外部球形区域相匹配,外部球形区域完全是真空的,并由Reissner-Nordström几何描述。对于一个特定的选择$f(R,\,T)$作为$f(R, \,T )=R+2γT$,在这里,我们分析了薄壳的各种物理性质,并给出了我们的结果,这些属性的图形。通过引入一个新的参数$η$,对模型的稳定性进行了分析,并对稳定区域进行了探索。我们提出的引力星模型在电荷的存在下可能被视为一个成功的稳定的带电黑洞在这种重力的背景下的替代品。

英文摘要:

In this work, we discuss the configuration of a gravastar (gravitational vacuum stars) in the context of $f(R, \,T )$ gravity by employing the Mazur-Mottola conjecture [P. Mazur and E. Mottola, Report No. LA-UR-01-5067; P. Mazur and E. Mottola, Proc. Natl. Acad. Sci. USA $101$, $9545$ ($2004$)]. Gravastar is conceptually a substitute for a black hole theory as available in literature and it has three regions with different equation of states. By assuming that the gravastar geometry admits conformal killing vector, the Einstein-Maxwell field equations have been solved in different regions of gravastar by taking a specific equation of state as proposed by Mazur and Mottola. We match our interior spacetime to the exterior spherical region which is completely vacuum and described by Reissner-Nordström geometry. For a particular choice of $f(R,\,T)$ as $f(R, \,T )=R+2γT$, here we analyze various physical properties of the thin shell and also presented our results graphically for these properties. The stability analysis of our present model is also studied by introducing a new parameter $η$ and we explored the stability regions. Our proposed gravastar model in presence of charge might be treated as a successful stable alternative of the charged black hole in the context of this gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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