Holography, degenerate horizons and entropy

TL;DR

This paper demonstrates that the entropy deviation of near-extremal black holes can be derived from holographic principles and symmetry considerations, confirming the universality of the Bekenstein-Hawking entropy.

Contribution

It establishes a holographic correspondence for near-extremal black holes in various spacetimes, linking entropy deviations to conformal field theory calculations.

Findings

Reproduces entropy deviation via Cardy's formula for Reissner-Nordstrom black holes.

Validates the mechanism for Schwarzschild-de Sitter black holes.

Supports the idea that black hole entropy can be derived from symmetry principles.

Abstract

We show that a realization of the correspondence AdS_2/CFT_1 for near extremal Reissner-Nordstrom black holes in arbitrary dimensional Einstein-Maxwell gravity exactly reproduces, via Cardy's formula, the deviation of the Bekenstein-Hawking entropy from extremality. We also show that this mechanism is valid for Schwarzschild-de Sitter black holes around the degenerate solution dS_2xS^n. These results reinforce the idea that the Bekenstein-Hawking entropy can be derived from symmetry principles.