Abstract
Abstract
An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, having different combinations of ring S1 × S2 and sphere S3 cross-sectional horizon topologies. Furthermore, we show the existence of 5-dimensional vacuum solitons with Kasner asymptotics. These are regular static space-periodic vacuum spacetimes devoid of black holes. Consequently, we also obtain new examples of complete Riemannian manifolds of nonnegative Ricci curvature in dimension 4, and zero Ricci curvature in dimension 5, having arbitrarily large as well as infinite second Betti number.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference22 articles.
1. S.D. Majumdar, A class of exact solutions of Einstein’s field equations, Phys. Rev. 72 (1947) 390 [INSPIRE].
2. A. Papapetrou, A static solution of the equations of the gravitational field for an arbitary charge-distribution, Proc. Roy. Irish Acad. A 51 (1947) 191 [INSPIRE].
3. R.C. Myers, Higher Dimensional Black Holes in Compactified Space-times, Phys. Rev. D 35 (1987) 455 [INSPIRE].
4. D. Korotkin and H. Nicolai, A Periodic analog of the Schwarzschild solution, gr-qc/9403029 [INSPIRE].
5. M. Reiris and J. Peraza, A complete classification of S1-symmetric static vacuum black holes, Class. Quant. Grav. 36 (2019) 225012 [arXiv:1904.12167] [INSPIRE].
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献