Quantum corrections to critical phenomena in gravitational collapse

Details Quantum corrections to critical phenomena in gravitational collapse Quantum corrections to critical phenomena in gravitational collapse

1998-04-23

arxiv.org/abs/gr-qc/9804058v1

Phys.Rev.D58:024006,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX, 6 pages, 3 figures included using psfig

Scientific paper

10.1103/PhysRevD.58.024006

We 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, $M \propto |\eta-\eta^*|^\beta$, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies $\beta \geq 0.5$. When $\beta < 0.5$ our argument is inconclusive; the semi-classical approximation breaks down in the spacetime region of interest.

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