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Cosmological Constant
Einstein Manifold
Higher Dimensions
Anti De Sitter
Angular Momentum
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An Infinite Class of Extremal Horizons in Higher Dimensions
An Infinite Class of Extremal Horizons in Higher Dimensions,10.1007/s0022001111922,Communications in Mathematical Physics,Hari K. Kunduri,James Luc
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An Infinite Class of Extremal Horizons in Higher Dimensions
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Citations: 4
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Hari K. Kunduri
,
James Lucietti
We present a new class of nearhorizon 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 2bundles over any compact KählerEinstein 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 × S 2 or $${\mathbb{CP}^2\# \overline{\mathbb{CP}^2}}$$. In
higher dimensions
the S 2bundles are always nontrivial, 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 nearhorizon 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.
Journal:
Communications in Mathematical Physics  COMMUN MATH PHYS
, vol. 303, no. 1, pp. 3171, 2011
DOI:
10.1007/s0022001111922
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Citation Context
(1)
...tests have been proposed elsewhere [
21
] using oriented cobordism...
...The cobordism mostly used for this is the oriented cobordism ring ∗, see [
21
]...
J. Gutowski
,
et al.
Heterotic horizons, MongeAmpère equation and del Pezzo surfaces
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Citations
(4)
Emergent AdS 3 in the zero entropy extremal black holes
(
Citations: 4
)
Tatsuo Azeyanagi
,
Noriaki Ogawa
,
Seiji Terashima
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Journal of High Energy Physics  J HIGH ENERGY PHYS
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Ultraspinning instability of rotating black holes
(
Citations: 4
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(
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Heterotic horizons, MongeAmpère equation and del Pezzo surfaces
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