Topological Black Holes -- Outside Looking In

Details Topological Black Holes -- Outside Looking In Topological Black Holes -- Outside Looking In

1997-09-15

arxiv.org/abs/gr-qc/9709039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, LaTeX, 15 figures

Scientific paper

I describe the general mathematical construction and physical picture of topological black holes, which are black holes whose event horizons are surfaces of non-trivial topology. The construction is carried out in an arbitrary number of dimensions, and includes all known special cases which have appeared before in the literature. I describe the basic features of massive charged topological black holes in $(3+1)$ dimensions, from both an exterior and interior point of view. To investigate their interiors, it is necessary to understand the radiative falloff behaviour of a given massless field at late times in the background of a topological black hole. I describe the results of a numerical investigation of such behaviour for a conformally coupled scalar field. Significant differences emerge between spherical and higher genus topologies.

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