On an Extension of a Static Ball Solution
General Relativity and Quantum Cosmology
2020-07-17 v1 Mathematical Physics
math.MP
Abstract
A new exact static interior solution of the Einstein equations is obtained for a gravitating ball filled with a Pascal perfect fluid . The solution is an extension of the well-known interior solution with a parabolic distribution of mass density and describes more compact astrophysical objects such as neutron and hyperon stars. It is shown that a behaviour of the new mass density distribution near the stellar centre can be described as a cusp catastrophe.
Keywords
Cite
@article{arxiv.1112.5873,
title = {On an Extension of a Static Ball Solution},
author = {Alexandre M. Baranov},
journal= {arXiv preprint arXiv:1112.5873},
year = {2020}
}
Comments
2 pages, Proceedings of the 12th Russian Gravitational Conference, Kazan, 20-36 June 2005