Euclidean Quantum Gravity in a Kerr Black Hole Ergosphere

JUAN IGNACIO MUSMARRA; ANABITARTE MARIANO; BELLINI MAURICIO

The European Physical Journal Plus

Springer

Lugar: Berlin; Año: 2022

Starting from the dynamics of a scalar eld on a Kerr metric, we propose an analytical extensionof spacetime coordinates (with Boyer-Lindquist coordinates) for a closed system with no ow atthe boundary, and we apply the polynomial conditions for conuent Heun functions with the aimto nd the distribution of the energy levels for the scalar eld that describes the spacetime insidethe ergosphere of a Kerr black hole. We obtain that, from the expression for each energy level,discretizations of the mass and angular momentum can be motivated.