Non-perturbative quantum corrections to a Born–Infeld black hole and its information geometry

Quantum gravitational corrections to black hole geometries

We calculate perturbative quantum gravity corrections to generic eternal two-dimensional dilaton gravity spacetimes. We estimate the leading corrections to the AdS2 black hole entropy and determine the quantum modification of N -dimensional Schwarzschild spacetime. ∗ [email protected] † [email protected] In recent years, two-dimensional dilaton gravity has earned a great deal of attentio...

Non-perturbative quantum geometry

The β-ensemble with cubic potential can be used to study a quantum particle in a double-well potential with symmetry breaking term. The quantum mechanical perturbative energy arises from the ensemble free energy in a novel large N limit. A relation between the generating functions of the exact non-perturbative energy, similar in spirit to the one of Dunne-Ünsal, is found. The exact quantization...

Electromagnetic fields in Schwarzschild and Reissner-Nordström geometry. Quantum corrections to the black hole entropy

In the last decade, many efforts have been made in order to understand the deep origin of the black hole entropy [1–4] first introduced by Bekenstein [5–7] (for a recent review see Ref. [8]), but widely embraced only after the Hawinkg’s demonstration of black hole thermal radiation [9–11]. Some possible interpretations and methods of calculation have been proposed, but, at the moment, no one of...

Quantum Geometry and Black Hole EntropyA

Quantum Geometry and Black Hole Entropy

A ‘black hole sector’ of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large non-rotating black hole is proportional to its horizon area. The constant of proportionality depends upon the Immirzi parameter, which fixes the spectrum of th...