Horizons and Geodesics of Black Ellipsoids

Details Horizons and Geodesics of Black Ellipsoids Horizons and Geodesics of Black Ellipsoids

2002-06-05

arxiv.org/abs/gr-qc/0206014v3

Int.J.Mod.Phys. D12 (2003) 479-494

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Published variant in IJMPD with modifications in some formulas, conclusions and new references

Scientific paper

10.1142/S021827180300272X

We analyze the horizon and geodesic structure of a class of 4D off--diagonal metrics with deformed spherical symmetries, which are exact solutions of the vacuum Einstein equations with anholonomic variables. The maximal analytic extension of the ellipsoid type metrics are constructed and the Penrose diagrams are analyzed with respect to adapted frames. We prove that for small deformations (small eccentricities) there are such metrics that the geodesic behaviour is similar to the Schwarzcshild one. We conclude that some vacuum static and stationary ellipsoid configurations may describe black ellipsoid objects.

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