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 Schrödinger-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.
Highlights
In an attempt to shed some light on the resolution of the information loss paradox [1,2,3,4,5,6], it has been shown by Das and Banerjee [7] that radiation from a collapsing charged shell is processed with a unitary evolution
We adopt the formalism and method of analysis from [7] and apply it to a global monopole background metric [10]. It was shown in [11] that a Schwarzschild black hole with a global monopole charge Hawking radiation is Planckian in nature
The metric for a Schwarzschild black hole with a global monopole charge η is given in natural units as [10,11,14], dsG2 M = −
Summary
In an attempt to shed some light on the resolution of the information loss paradox [1,2,3,4,5,6], it has been shown by Das and Banerjee [7] that radiation from a collapsing charged shell is processed with a unitary evolution. This was achieved in a Reissner–Nordström background using the Wheeler– deWitt formalism [8,9] and unitarity checks were carried out using two independent lines of approach, density matrix and conservation of probability.
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