Impact of a modified Entropy-Area law on Schwarzschild-de Sitter metric

TL;DR

This paper derives a modified Schwarzschild-de Sitter spacetime using quantum gravity-inspired entropy corrections, revealing how quantum effects alter black hole and cosmological parameters and affect black hole perturbations.

Contribution

It introduces a novel quantum gravity-inspired modification to the Schwarzschild-de Sitter metric based on corrected entropy-area law, affecting black hole properties.

Findings

Quantum corrections encode in radius-dependent parameters.

Perturbation analysis shows suppressed corrections to quasi-normal modes.

Modified geometry impacts black hole stability and thermodynamics.

Abstract

Based on the perspective that continuum gravitational physics is an emergent quantum gravitational phenomenon, and that spacetime thermodynamic is the natural langauge in which it can be described, we derive a modified Schwarzschild-de Sitter geometry in static coordinates from quantum gravity inspired logarithmic corrections to the entropy-area law. The resulting quantum corrections to classical geometry can be encoded in explicitly radius dependent black hole and cosmological constant parameters. By considering the pure black hole case we study linear perturbations on this modified background, obtaining corrections to the black hole quasi-normal modes suppressed by the square of the ratio between the Planck length and the Schwarzschild radius.