Vacuum Polarisation and the Black Hole Singularity

Details Vacuum Polarisation and the Black Hole Singularity Vacuum Polarisation and the Black Hole Singularity

1992-11-13

arxiv.org/abs/gr-qc/9211016v1

Class.Quant.Grav.10:497-504,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, RevTex

Scientific paper

10.1088/0264-9381/10/3/009

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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