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28 March 2024
 
  » arxiv » gr-qc/9804058

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Quantum corrections to critical phenomena in gravitational collapse
Patrick R Brady ; Adrian C Ottewill ;
Date 23 Apr 1998
Journal Phys.Rev. D58 (1998) 024006
Subject gr-qc
AbstractWe investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum stress-energy tensor can be derived. As an immediate application we consider a combination of classical, and quantum perturbations about exactly critical collapse. Generalizing the standard argument which explains the scaling law for black hole mass, $M propto |eta-eta^*|^eta$, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies $eta geq 0.5$. When $eta < 0.5$ our argument is inconclusive; the semi-classical approximation breaks down in the spacetime region of interest.
Source arXiv, gr-qc/9804058
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