Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-25
Commun.Math.Phys.303:31-71,2011
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, latex. v2: corrected section 6.1, two references added. v3: modified angular momentum and corrected area comparison,
Scientific paper
10.1007/s00220-011-1192-2
We present a new class of near-horizon geometries which solve Einstein's vacuum equations, including a negative cosmological constant, in all even dimensions greater than four. Spatial sections of the horizon are inhomogeneous S^2-bundles over any compact Kaehler-Einstein manifold. For a given base, the solutions are parameterised by one continuous parameter (the angular momentum) and an integer which determines the topology of the horizon. In six dimensions the horizon topology is either S^2 x S^2 or CP^2 # -CP^2. In higher dimensions the S^2-bundles are always non-trivial, and for a fixed base, give an infinite number of distinct horizon topologies. Furthermore, depending on the choice of base we can get examples of near-horizon geometries with a single rotational symmetry (the minimal dimension for this is eight). All of our horizon geometries are consistent with all known topology and symmetry constraints for the horizons of asymptotically flat or globally Anti de Sitter extremal black holes.
Kunduri Hari K.
Lucietti James
No associations
LandOfFree
An infinite class of extremal horizons in higher dimensions 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 An infinite class of extremal horizons in higher dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An infinite class of extremal horizons in higher dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-378993