Tunneling during Quantum Collapse in AdS Spacetime

TL;DR

This paper investigates quantum dust collapse in Anti-de Sitter spacetime, revealing that Hawking radiation is a generic outcome of non-marginal collapse and is unaffected by the energy function, with implications for black hole thermodynamics.

Contribution

It extends previous models to non-marginal collapse in arbitrary dimensions with negative cosmological constant, showing Hawking temperature independence and well-behaved wave functionals at the Hawking-Page transition.

Findings

Hawking temperature is independent of the energy function.

Wave functional remains well-behaved at the Hawking-Page transition.

Thermal radiation emerges as a generic feature of non-marginal collapse in AdS.

Abstract

We extend previous results on the reflection and transmission of self-gravitating dust shells across the apparent horizon during quantum dust collapse to non-marginally-bound dust collapse in arbitrary dimensions with a negative cosmological constant. We show that the Hawking temperature is independent of the energy function and that the wave functional describing the collapse is well behaved at the Hawking-Page transition point. Thermal radiation from the apparent horizon appears as a generic result of non-marginal collapse in AdS space-time owing to the singular structure of the Hamiltonian constraint at the apparent horizon.