Impact of a modified EntropyArea law on Schwarzschildde Sitter metric
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 Schwarzschildde Sitter geometry in static coordinates from quantum gravity inspired logarithmic corrections to the entropyarea 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 quasinormal modes suppressed by the square of the ratio between the Planck length and the Schwarzschild radius.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 DOI:
 10.48550/arXiv.2110.15325
 arXiv:
 arXiv:2110.15325
 Bibcode:
 2021arXiv211015325M
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, 2 figures