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