Interior Static Stellar Model with Electric Charge as an Oscillator
General Relativity and Quantum Cosmology
2012-01-24 v1 Mathematical Physics
math.MP
Abstract
A model approach to the description of static stars filled with a charged Pascal perfect fluid within the framework of general relativity is investigated. The metric is written in Bondi's radiation coordinates. The gravitational equations are reduced to a nonlinear oscillator equation after transfomation to a new variable as a function of the radial coordinate. It is shown that in this case exact solutions of the Einstein-Maxwell equations for a concrete energy density distribution law of the charged fluid may be obtained as solution of the harmonic oscillator equation.
Keywords
Cite
@article{arxiv.1201.4429,
title = {Interior Static Stellar Model with Electric Charge as an Oscillator},
author = {A. M. Baranov},
journal= {arXiv preprint arXiv:1201.4429},
year = {2012}
}
Comments
2 pages, Talk presented at the 5th Int. Conf. on Grav. and Astrophys. of Acian-Pacific Countries (ICGA-5), Moscow, 2001