1994/03/16 by D. Korotkin, Korotkin, D., H. Nicolai +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9403029
6 pages, preprint DESY-TH 94-038
arxiv created 1994/03/16 · arxiv updated 2009/11/30
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 → ∞.