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arXiv · gr-qc/9211016

Vacuum Polarisation and the Black Hole Singularity

W. G. Anderson·P. R. Brady·R. Camporesi
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Abstract

In order to investigate the effects of vacuum polarisation on mass inflation singularities, we study a simple toy model of a charged black hole with cross flowing radial null dust which is homogeneous in the black hole interior. In the region $r^2 \ll e^2$ we find an approximate analytic solution to the classical field equations. The renormalized stress-energy tensor is evaluated on this background and we find the vacuum polarisation backreaction corrections to the mass function $m(r)$. Asymptotic analysis of the semiclassical mass function shows that the mass inflation singularity is much stronger in the presence of vacuum polarisation than in the classical case.

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W. G. Anderson, P. R. Brady, R. Camporesi. 1992-11-13. Vacuum Polarisation and the Black Hole Singularity. https://doi.org/10.1088/0264-9381%2F10%2F3%2F009

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