Slowly rotating, compact fluid sources embedded in Kerr empty space-time

Details Slowly rotating, compact fluid sources embedded in Kerr empty space-time Slowly rotating, compact fluid sources embedded in Kerr empty space-time

2003-04-25

arxiv.org/abs/gr-qc/0304097v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1023/B:GERG.0000018288.52206.

Spherically symmetric static fluid sources are endowed with rotation and embedded in Kerr empty space-time up to an including quadratic terms in an angular velocity parameter using Darmois junction conditions. Einstein's equation's for the system are developed in terms of linear ordinary differential equations. The boundary of the rotating source is expressed explicitly in terms of sinusoidal functions of the polar angle which differ somewhat according to whether an equation of state exists between internal density and supporting pressure.

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