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A Periodic Analog of the Schwarzschild Solution

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

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Genre: Journal Article

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gr-qc-9403029v1.pdf (Preprint), 104KB
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Creators:
Korotkin, D. A.1, Author
Nicolai, Hermann2, Author
Affiliations:
1External Organizations, ou_persistent13
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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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 $L \rightarrow \infty$.

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Dates: 1994-03-16
Publication Status: Published in print
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Identifiers: eDoc: 346843
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