Some properties of the de Sitter black holes in three dimensional spacetime

TL;DR

This paper explores the thermodynamic and quantum properties of de Sitter black holes in three-dimensional massive gravity, revealing their energy, entropy spectra, and consistency with thermodynamic laws.

Contribution

It introduces new calculations of energies and entropy spectra for de Sitter black holes within a higher derivative gravity framework, extending understanding of their quantum and thermodynamic features.

Findings

Thermodynamic quantities satisfy the first law.

Entropy spectra are equally spaced.

Energies are obtained from the boundary stress tensor.

Abstract

We investigate the physical properties of the de Sitter spacetime and new type-de Sitter black holes in new massive gravity, a higher derivative gravity theory in three dimensions. We calculate thermodynamic quantities and check that the first law of thermodynamics is satisfied. In particular, we obtain the energies of the de Sitter spacetime and new type-de Sitter black holes from the renormalized Brown-York boundary stress tensor on the Euclidean surfaces at late temporal infinity. We also obtain the quasinormal modes and by using them we find that the entropy spectra are equally spaced via semi-classical quantization.