Relativistic Compact Objects in Isotropic Coordinates

Details Relativistic Compact Objects in Isotropic Coordinates Relativistic Compact Objects in Isotropic Coordinates

2005-04-28

arxiv.org/abs/gr-qc/0504136v1

Pramana 65 (2005) 185-192

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures, accepted for publication in Pramana-Journal of Physics

Scientific paper

10.1007/BF02898610

We present a matrix method for obtaining new classes of exact solutions for Einstein's equations representing static perfect fluid spheres. By means of a matrix transformation, we reduce Einstein's equations to two independent Riccati type differential equations for which three classes of solutions are obtained. One class of the solutions corresponding to the linear barotropic type fluid with an equation of state $p=\gamma \rho $ is discussed in detail.

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