Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-09-18
Annales Henri Poincare 10:1537-1557,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, Latex, no figures, title changed, references added, discussion of the parameters specifying solutions corrected, ame
Scientific paper
10.1007/s00023-010-0022-y
We explicitly construct all stationary, non-static, extremal near horizon geometries in $D$ dimensions that satisfy the vacuum Einstein equations, and that have $D-3$ commuting rotational symmetries. Our work generalizes [arXiv:0806.2051] by Kunduri and Lucietti, where such a classification had been given in $D=4,5$. But our method is different from theirs and relies on a matrix formulation of the Einstein equations. Unlike their method, this matrix formulation works for any dimension. The metrics that we find come in three families, with horizon topology $S^2 \times T^{D-4}$, or $S^3 \times T^{D-5}$, or quotients thereof. Our metrics depend on two discrete parameters specifying the topology type, as well as $(D-2)(D-3)/2$ continuous parameters. Not all of our metrics in $D \ge 6$ seem to arise as the near horizon limits of known black hole solutions.
Hollands Stefan
Ishibashi Akihiro
No associations
LandOfFree
All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-277105