Computer Science – Numerical Analysis
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1241..521b&link_type=abstract
INVISIBLE UNIVERSE: Proceedings of the Conference. AIP Conference Proceedings, Volume 1241, pp. 521-527 (2010).
Computer Science
Numerical Analysis
Boson Systems, Black Holes, Numerical Analysis, Symmetry, Other Gauge Bosons, Classical Black Holes, Ordinary And Partial Differential Equations, Boundary Value Problems, Symmetry And Conservation Laws
Scientific paper
We present a generalization of Birkhoff's theorem in the context of six-dimensional Gauss-Bonnet theory. Contrary to what we encounter in ordinary General Relativity, the presence of the higher curvature terms leads to novel constraints on the geometry of the admissible black hole horizons. As a result, we can have static solutions which depart from spherical symmetry, but must satisfy specific constraints involving the Weyl tensor of the four-dimensional horizon. After obtaining the general profile of the static solutions in the transverse space, we give explicit examples of such black hole horizons, which are in general of an anisotropic nature.
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