Unitary Black hole radiation: Schwarzschild-global monopole background

TL;DR

This paper demonstrates that black hole radiation in a Schwarzschild background with a global monopole charge evolves unitarily, ensuring information preservation through quantum mechanical analysis.

Contribution

It introduces a unitary description of black hole radiation in a global monopole background using the Wheeler-deWitt formalism, confirming unitarity via density matrix and probability conservation.

Findings

Trace of the square of the density matrix equals one

Probability conservation holds for the wave function

Unitarity of black hole radiation is established

Abstract

Black hole radiation from an infinitesimally thin massive collapsing shell, possessing a global monopole charge, which in turn leads to a Schwarzschild black hole with a global monopole charge has been shown to be processed by a unitary evolution. The exterior metric of the collapsing shell is described by the global monopole (GM) metric. The analysis is performed using the Wheeler-deWitt formalism which gave rise to a Schr\"{o}dinger-like wave equation. Existence of unitarity is confirmed from two independent lines of approach. Firstly, by showing that the trace of the square of the density matrix, of the outgoing radiation, from a quantized massless scalar field, is unity. Secondly, by proving that the conservation of probability holds for the wave function of the system.