Equation of states in the curved spacetime of spherical degenerate stars. (arXiv:2005.08783v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Hossain_G/0/1/0/all/0/1">Golam Mortuza Hossain</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Mandal_S/0/1/0/all/0/1">Susobhan Mandal</a>

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.

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.

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