Interior Static Stellar Model with Electric Charge as an Oscillator

Details Interior Static Stellar Model with Electric Charge as an Oscillator Interior Static Stellar Model with Electric Charge as an Oscillator

2012-01-21

arxiv.org/abs/1201.4429v1

Gravitation and Cosmology, Vol.8 (2002), Supplement II, pp.10-11

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

2 pages, Talk presented at the 5th Int. Conf. on Grav. and Astrophys. of Acian-Pacific Countries (ICGA-5), Moscow, 2001

Scientific paper

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.

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