High dimensional AdS-like black hole and Phase transition in Einstein-bumblebee gravity

Abstract

In this paper we obtain an exact high dimensional anti-de Sitter (AdS) black hole solution in Einstein-bumblebee gravity theory. This AdS-like black hole can only exist with a linear functional potential of the bumblebee field. We find that the Smarr formula and the first law of black hole thermodynamics can still be constructed in this Lorentz symmetry breaking black hole spacetime as long as its temperature, entropy and volume are slightly modified. We find also that there exist two kinds of phase transition: small-large black hole phase transition and Hawking-Page phase transition, like those of Schwarzschild AdS black hole. After Lorentz symmetry breaking, the black hole mass at divergent point of heat capacity becomes small, and the Gibbs free energy of the meta-stable large black hole is also smaller, showing that the large stable black hole can be more easily formed.

19 pages,four figures, 1 table

References in corpus (6)

• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Black holes with a cosmological constant in bumblebee gravity
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Lorentz violation in the linearized gravity
• Black holes in massive gravity: Quasi-normal modes of scalar perturbations
• What kinds of coordinate can keep the Hawking temperature invariant for the static spherically symmetric black hole?

Cited by in corpus (10)

• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• Electrically charged black holes in gravity with a background Kalb-Ramond field
• Quasinormal modes and greybody factor of a Lorentz-violating black hole
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
• Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry
• Phantom hairy black holes and wormholes in Einstein-bumblebee gravity
• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals