Do we need equation of state in curved spacetime for neutron stars? [CL]

http://arxiv.org/abs/2206.02106


Neutron star (NS) is regarded as the natural laboratory for nuclear physics. The equation of state (EoS) extracted in flat spacetime is used chronically as an input to the Tolman-Oppenheimer-Volkoff (TOV) equation to constrain the structure of NS. However, using such EoS to characterize the NS with obvious gravitational effect seems controversial. In our work, we demonstrate the EoS of the same nuclear matter, either on earth or inside NS, ought to be in the same form due to the relativity principle. Gravity only enhances the temperature and the chemical potential, known as Tolman’s law and Klein’s law. We also clarify the self-consistency of the TOV equation, i.e., the equilibrium thermodynamics and gravity are included uniformly. The reason for conclusions in JCAP 02, 026 (2021) and Phys. Rev. D 104, 123005 (2021) is that the equilibrium thermodynamic relations protected by the equivalence principle in local spacetime are not taken into account.

Read this paper on arXiv…

J. Li, T. Guo, J. Zhao, et. al.
Tue, 7 Jun 22
48/70

Comments: 15 pages, 5 figures, 4 tables