Quantum Gravitational Corrections to the Geometry of Charged AdS Black Holes
Abstract
We study the quantum gravitational corrections to the geometry of a fourdimensionalcharged (ReissnerNordström) Anti de Sitter black hole starting from an effective field theory approach to quantum gravity. We use the expression of the modified horizon radius to compute the quantum corrected Wald entropy, whose expression reproduces the logarithmic behaviour found by other methods. We perform a thermodynamics analysis and compute the quantum gravitational corrections to the temperature, pressure, specific heat and Helmholtz free energy. All these quantities are renormalisation group invariant. We find that a quantum charged AdS black hole can exist only for a bounded range of masses and that it can undergo a second order phase transition as it moves from a state with positive specific heat to a negative one.
 Publication:

arXiv eprints
 Pub Date:
 April 2022
 arXiv:
 arXiv:2205.00238
 Bibcode:
 2022arXiv220500238P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages