Generating anisotropic fluids from vacuum Ernst equations

Details Generating anisotropic fluids from vacuum Ernst equations Generating anisotropic fluids from vacuum Ernst equations

2006-06-16

arxiv.org/abs/gr-qc/0606071v2

IJMPD, Vol. 19, No.11 (2010) 1783-1795

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Version published on IJMPD, title changed by the review

Scientific paper

10.1142/S0218271810018025

Starting with any stationary axisymmetric vacuum metric, we build anisotropic fluids. With the help of the Ernst method, the basic equations are derived together with the expression for the energy-momentum tensor and with the equation of state compatible with the field equations. The method is presented by using different coordinate systems: the cylindrical coordinates $\rho, z$ and the oblate spheroidal ones. A class of interior solutions matching with stationary axisymmetric asymptotically flat vacuum solutions is found in oblate spheroidal coordinates. The solutions presented satisfy the three energy conditions.

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