Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
arXiv:0707.1056 · doi:10.1103/PhysRevD.77.024002
Abstract
Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial base manifold endowed with a fully antisymmetric torsion. It is shown requiring solutions of this sort to exist, fixes the Gauss-Bonnet coupling such that the Lagrangian can be written as a Chern-Simons form. The metric describes black holes with an arbitrary, but fixed, base manifold. It is shown that requiring its ground state to possess unbroken supersymmetries, fixes the base manifold to be locally a parallelized three-sphere. The ground state turns out to be half-BPS, which could not be achieved in the absence of torsion in vacuum. The Killing spinors are explicitly found.
11 pages, no figures, notation clarified; version accepted for publication in Physical Review D
References in corpus (23)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- Gauss-Bonnet Black Holes in AdS Spaces
- Black Hole Scan
- Dimensionally Continued Black Holes
- Topological black holes in the dimensionally continued gravity
- Supersymmetry of the 2+1 black holes
- Gauss-Bonnet Black Holes in dS Spaces
- Black holes with topologically nontrivial AdS asymptotics
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- New Gauge Supergravity in Seven and Eleven Dimensions
- Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance
- Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
- Gauge Supergravities for all Odd Dimensions
- Three-dimensional supergravity reloaded
- Holographic currents in first order Gravity and finite Fefferman-Graham expansions
- Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
- Dynamics and BPS states of AdS5 supergravity with a Gauss-Bonnet term
- Supersymmetry of gravitational ground states
- Dynamical content of Chern-Simons Supergravity
- Torsion induces Gravity
- Chern-Simons AdS_5 supergravity in a Randall-Sundrum background
- Selfdual backgrounds in N=2 five-dimensional Chern-Simons Supergravity
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- Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration
- Cosmological dynamics in higher-dimensional Einstein-Gauss-Bonnet gravity
- Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum
- Friedmann dynamics recovered from compactified Einstein-Gauss-Bonnet cosmology
- Vacuum static compactified wormholes in eight-dimensional Lovelock theory
- Dirac quasinormal modes of Chern-Simons and BTZ black holes with torsion
- BTZ-like black holes in even dimensional Lovelock theories
- All the solutions of the form M2(warped)xΣ(d-2) for Lovelock gravity in vacuum in the Chern-Simons case
- Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
- A black hole with torsion in 5D Lovelock gravity
- Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity
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- Black holes with topological charges in Chern-Simons AdS supergravity
- Meronic AdS Black Holes in Gauss-Bonnet Theory
- Effectively four-dimensional spacetimes emerging from d=5 Einstein-Gauss-Bonnet Gravity
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- Holographic Aspects of Even-Dimensional Topological Gravity
- Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
- The role of torsion in holographic conductivity
- Extending the isolated horizon phase space to string-inspired gravity models