English

Maximum mass of a cold compact star

General Relativity and Quantum Cosmology 2009-11-11 v1

Abstract

We calculate the maximum mass of the class of compact stars described by Vaidya-Tikekar \cite{VT01} model. The model permits a simple method of systematically fixing bounds on the maximum possible mass of cold compact stars with a given value of radius or central density or surface density. The relevant equations of state are also determined. Although simple, the model is capable of describing the general features of the recently observed very compact stars. For the calculation, no prior knowledge of the equation of state (EOS) is required. This is in contrast to the earlier calculations for maximum mass which were done by choosing first the relevant EOSs and using those to solve the TOV equation with appropriate boundary conditions. The bounds obtained by us are comparable and, in some cases, more restrictive than the earlier results.

Cite

@article{arxiv.gr-qc/0505144,
  title  = {Maximum mass of a cold compact star},
  author = {R Sharma and S Karmakar and S Mukherjee},
  journal= {arXiv preprint arXiv:gr-qc/0505144},
  year   = {2009}
}

Comments

18 pages including 4 *.eps figures. Submitted for publication

R2 v1 2026-07-22T12:42:49.949Z