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#### A Periodic Analog of the Schwarzschild Solution

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gr-qc-9403029v1.pdf

(Preprint), 104KB

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##### Citation

Korotkin, D. A., & Nicolai, H. (1994). A Periodic Analog of the Schwarzschild Solution.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5BFD-D

##### Abstract

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 $L \rightarrow \infty$.