https://doi.org/10.1140/epjc/s10052-019-6991-1
Regular Article - Theoretical Physics
Unitarity in Reissner–Nordström background: striding away from information loss
Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, West Bengal, 741246, India
* e-mail: narayan@iiserkol.ac.in
Received:
1
May
2019
Accepted:
25
May
2019
Published online:
5
June
2019
We have shown analytically that radiation from a collapsing shell which leads to a charged black hole, whose exterior is described by the Reissner–Nordström metric (and hence the background spacetime is non-globally hyperbolic), is processed with a unitary evolution. For the analysis, we have used the Wheeler–deWitt formalism which in turn gave rise to a Schrödinger-like wave equation. We showed the existence of unitarity by proving that the trace of the squared density matrix of the outgoing radiation, from a quantized massless scalar field, is unity and that the conservation of probability holds for the wave function of the system.
© The Author(s), 2019
