Thermodynamic and gravitational instability on hyperbolic spaces

@article{Neupane2004ThermodynamicAG,
  title={Thermodynamic and gravitational instability on hyperbolic spaces},
  author={I. Neupane},
  journal={Physical Review D},
  year={2004},
  volume={69},
  pages={084011}
}
We study the properties of anti‐de Sitter black holes with a Gauss-Bonnet term for various horizon topologies ( k50,61) and for various dimensions, with emphasis on the less well understood k521 solution. We find that the zero temperature~and zero energy density! extremal states are the local minima of the energy for AdS black holes with hyperbolic event horizons. The hyperbolic AdS black hole may be stable thermodynamically if the background is defined by an extremal solution and the extremal… Expand
Thermodynamics and stability of hyperbolic charged black holes
In AdS space the black hole horizon can be a hypersurface with a positive, zero, or negative constant curvature, resulting in different horizon topology. Thermodynamics and stability of black holesExpand
Gauss-Bonnet black holes in AdS spaces
We study the thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of theseExpand
Born-Infeld black holes in (A)dS spaces
We study some exact solutions in a D(greater than or equal to4)-dimensional Einstein-Born-Infeld theory with a cosmological constant. These solutions are asymptotically de Sitter or anti-de Sitter,Expand
Stability of Gauss-Bonnet black holes in Anti-de-Sitter space-time against scalar field condensation
We study the stability of static, hyperbolic Gauss-Bonnet black holes in (4+1)-dimensional anti-de Sitter (AdS) space-time against the formation of scalar hair. Close to extremality the black holesExpand
Gauss-Bonnet black holes with nonconstant curvature horizons
We investigate static and dynamical n({>=}6)-dimensional black holes in Einstein-Gauss-Bonnet gravity of which horizons have the isometries of an (n-2)-dimensional Einstein space with a condition onExpand
A Note on Thermodynamics of Black Holes in Lovelock Gravity
Abstract The Lovelock gravity consists of the dimensionally extended Euler densities. The geometry and horizon structure of black hole solutions could be quite complicated in this gravity, however,Expand
New solutions of exotic charged black holes and their stability
We find a class of charged black hole solutions in third-order Lovelock Gravity. To obtain this class of solutions, we are not confined to the usual assumption of maximal symmetry on the horizon andExpand
Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
Low energy limits of a string theory suggests that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss?Bonnet densities.Expand
Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter black hole with higher derivative gauge corrections
The local and global thermal phase structure for asymptotically anti-de Sitter black holes charged under an abelian gauge group, with both Gauss-Bonnet and quartic field strength corrections, isExpand
Gravitational instability of Einstein-Gauss-Bonnet black holes under tensor mode perturbations
We analyse the tensor mode perturbations of static, spherically symmetric solutions of the Einstein equations with a quadratic Gauss–Bonnet term in dimension D > 4. We show that the evolutionExpand
...
1
2
3
4
5
...