A Periodic Analog of the Schwarzschild Solution

Details A Periodic Analog of the Schwarzschild Solution A Periodic Analog of the Schwarzschild Solution

1994-03-16

arxiv.org/abs/gr-qc/9403029v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, preprint DESY-TH 94-038

Scientific paper

We construct a new exact solution of Einstein's equations in vacuo in terms of Weyl canonical coordinates. This solution may be interpreted as a black hole in a space-time which is periodic in one direction and which behaves asymptotically like the Kasner solution with Kasner index equal to $4M L^{-1}$, where $L$ is the period and $M$ is the mass of the black hole. Outside the horizon, the solution is free of singularities and approaches the Schwarzschild solution as $L \rightarrow \infty$.

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