Higher-dimensional quantum Oppenheimer-Snyder model

TL;DR

This paper investigates higher-dimensional quantum gravitational collapse, revealing quantum bounces that prevent singularities, and explores how quantum corrections affect black hole oscillations, temperature, and phase transitions.

Contribution

It introduces a higher-dimensional quantum-corrected black hole model and analyzes its stability, thermodynamics, and perturbations, highlighting novel quantum effects in gravitational collapse.

Findings

Quantum bounces prevent singularities in collapse.

Quantum corrections alter oscillation frequencies based on dimension.

Hawking temperature decreases with mass in quantum-corrected black holes.

Abstract

The quantum Oppenheimer-Snyder model for higher-dimensional spacetimes is studied. The higher-dimensional quantum-corrected Schwarzschild black hole is obtained by the junction condition. It turns out that quantum bounces always occur in the collapse thus that the classical gravitational collapse singularities are avoided. The scalar perturbations upon the quantum-corrected black holes are also studied. It turns out that the quantum corrections enhance the oscillation frequency in lower dimensions and decrease it in higher dimensions. Moreover, the thermodynamic laws of the quantum-corrected black holes imply that the Hawking temperature of quantum-corrected black hole decreases as the mass decreases in contrast to the classical situation. The behaviour of heat capacity indicates that quantum corrections introduce an extra phase transition of the black holes.