The Quantum Gravity Dynamics of Near Extremal Black Holes
Zhenbin Yang
TL;DR
This paper investigates the quantum effects and gravitational dynamics of near-extremal black holes, providing exact solutions for correlation functions, wavefunctions, and insights into complexity growth in quantum gravity.
Contribution
It offers an exact solution framework for quantum gravity effects in near-extremal black holes, connecting gravitational dynamics to an $AdS_2$ particle picture.
Findings
Derived a formula for all correlation functions with quantum gravity backreactions.
Provided an exact Wheeler-DeWitt wavefunction for near-extremal black holes.
Analyzed complexity growth using the WdW wavefunction.
Abstract
We study the quantum effects of Near-Extremal black holes near their horizons. The gravitational dynamics in such backgrounds are closely connected to a particle in with constant electric field. We use this picture to solve the theory exactly. We will give a formula to calculate all correlation functions with quantum gravity backreactions as well as the exact Wheeler-DeWitt wavefunction. Using the WdW wavefunction, we investigate the complexity growth in quantum gravity.
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