An Exact Interior Extension of a Static Solution for an Electric Charged Ball
General Relativity and Quantum Cosmology
2011-12-30 v1 Mathematical Physics
math.MP
Abstract
We use the model approach to the description of spherical gravitating static fluid ball with an electric charge in general relativity. The metric is written in Bondi's coordinates. The total energy-momentum tensor (EMT) is chosen as a sum of the EMT of a Pascal perfect fluid and that of the electromagnetic field. An exact solution of the Einstein-Maxwell equations is found, extending a similar solution with parabolic mass density distribution.
Keywords
Cite
@article{arxiv.1112.5911,
title = {An Exact Interior Extension of a Static Solution for an Electric Charged Ball},
author = {Alexandre M. Baranov and Zakhar V. Vlasov},
journal= {arXiv preprint arXiv:1112.5911},
year = {2011}
}
Comments
2 pages, Proceedings of the 12th Russian Gravitational Conference, Kazan, 20-36 June 2005