Non-existence of toroidal cohomogeneity-1 near horizon geometries
- Resource Type
- Working Paper
- Authors
- Holland, Jan
- Source
- Annales Henri Poincare 15 (2014) 407-414
- Subject
- General Relativity and Quantum Cosmology
High Energy Physics - Theory
- Language
We prove that $D\geq 5$ dimensional stationary, non-static near horizon geometries with (D-3) rotational symmetries subject to the vacuum Einstein equations including a cosmological constant cannot have toroidal horizon topology. In D=4 dimensions the same result is obtained under the assumption of a non-negative cosmological constant.
Comment: 8 pages