Exact models for isotropic matter

Details Exact models for isotropic matter Exact models for isotropic matter

2006-02-21

arxiv.org/abs/gr-qc/0602082v1

Class.Quant.Grav. 23 (2006) 2697-2709

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, to appear in Class. Quantum Grav

Scientific paper

We study the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes. The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients. We demonstrate that this difference equation can be solved in general using mathematical induction. Consequently we can find an explicit exact solution to the Einstein-Maxwell field equations. The metric functions, energy density, pressure and the electric field intensity can be found explicitly. Our result contains models found previously including the neutron star model of Durgapal and Bannerji. By placing restrictions on parameters arising in the general series we show that the series terminate and there exist two linearly independent solutions. Consequently it is possible to find exact solutions in terms of elementary functions, namely polynomials and algebraic functions.

Affiliated with

Also associated with

No associations

Rating

Exact models for isotropic matter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact models for isotropic matter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact models for isotropic matter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454132