Local toroidal black holes that are static and axisymmetric
- 8 July 1983
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 388 (1794) , 117-131
- https://doi.org/10.1098/rspa.1983.0075
Abstract
A solution, recently derived by Geroch and Hartle, representing local black holes with a toroidal topology, is constructed in a gauge in which the neighbourhood of the horizon is smoothly covered; and the metric tensor is written down explicitly in terms of Legendre polynomials. The construction is based on an approach suggested by Chandrasekhar for the construction of stationary axisymmetric solutions with horizons. The present method searches for a 'background' solution in a conceptually simple analytical way and seems applicable to the construction of stationary local black holes.Keywords
This publication has 8 references indexed in Scilit:
- The Kerr metric and stationary axisymmetric gravitational fieldsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Uniqueness of the Kerr Black HolePhysical Review Letters, 1975
- The Large Scale Structure of Space-TimePublished by Cambridge University Press (CUP) ,1973
- Entropy and black-hole dynamicsLettere al Nuovo Cimento (1971-1985), 1973
- Axisymmetric Black Hole Has Only Two Degrees of FreedomPhysical Review Letters, 1971
- Collinear particles and bondi dipoles in general relativityIl Nuovo Cimento (1869-1876), 1964
- Covariant Conservation Laws in General RelativityPhysical Review B, 1959
- The Topology of Fibre Bundles. (PMS-14)Published by Walter de Gruyter GmbH ,1951