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Equation of states in the curved spacetime of spherical degenerate stars
Journal of Cosmology and Astroparticle Physics ( IF 6.4 ) Pub Date : 2021-02-12 , DOI: 10.1088/1475-7516/2021/02/026
Golam Mortuza Hossain , Susobhan Mandal

In the study of spherical degenerate stars such as neutron stars, general relativistic effects are incorporated by using Tolman-Oppenheimer-Volkoff equations to describe their interior spacetime. However, the equation of states employed in such studies are invariably computed in flat spacetime. We show that the equation of states computed in the curved spacetime of these stars depend explicitly on the metric function. Further, we show that ignoring such metric-dependent gravitational time dilation effect leads one to grossly underestimate the mass limits of these compact stars.



中文翻译:

球形简并星的弯曲时空中的状态方程

在研究诸如中子星之类的球形简并星时,通过使用Tolman-Oppenheimer-Volkoff方程来描述其内部时空,从而引入了广义相对论效应。但是,在此类研究中采用的状态方程总是在平坦的时空中计算的。我们表明,在这些恒星的弯曲时空中计算出的状态方程明确取决于度量函数。此外,我们表明,忽略这种依赖于度量的引力时间膨胀效应会导致人们严重低估这些紧凑恒星的质量极限。

更新日期:2021-02-12
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