Logarithmic corrections to three-dimensional black holes and de Sitter spaces

TL;DR

This paper computes logarithmic corrections to the entropy of three-dimensional black holes and de Sitter spaces, revealing a universal correction pattern and discussing implications for holographic correspondences.

Contribution

It provides a unified calculation of entropy corrections for various 3D spacetimes and explores their implications for AdS/CFT and dS/ECFT dualities.

Findings

Same logarithmic correction for BTZ, KdS, and SdS horizons

No distinction between event horizon and cosmological horizon corrections

Supports universality of entropy corrections in 3D spacetimes

Abstract

We calculate logarithmic corrections to the Bekenstein-Hawking entropy for three-dimensional BTZ black hole with J=0 and Kerr-de Sitter (KdS) space with J=0 including the Schwarzschild-de Sitter (SdS) solution due to thermal fluctuations. It is found that there is no distinction between the event horizon of the BTZ black hole and the cosmological horizon of KdS space. We obtain the same correction to the Cardy formula for BTZ, KdS, and SdS cases. We discuss AdS/CFT and dS/ECFT correspondences in connection with logarithmic corrections.