Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-11-27
Phys.Rev.D75:024004,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, 8 figures
Scientific paper
10.1103/PhysRevD.75.024004
We consider static circularly symmetric solution of three-dimensional Einstein's equations with negative cosmological constant (the BTZ black hole). The case of zero cosmological constant corresponding to the interior region of a black hole is analyzed in detail. We prove that the maximally extended BTZ solution with zero cosmological constant coincides with flat three-dimensional Minkowskian space-time without any singularity and horizons. The Euclidean version of this solution is shown to have physical interpretation in the geometric theory of defects in solids describing combined wedge and screw dislocations.
Berredo-Peixoto Guilherme de
Katanaev M. O.
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