Quantum corrections to critical phenomena in gravitational collapse

Abstract

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

RevTeX, 6 pages, 3 figures included using psfig

References in corpus (1)

• Spherical Collapse of a Mass-Less Scalar Field With Semi-Classical Corrections

Cited by in corpus (9)

• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Critical phenomena in gravitational collapse - Living Reviews
• Critical gravitational collapse with angular momentum: from critical exponents to universal scaling functions
• A Toy Model for Topology Change Transitions: Role of Curvature Corrections
• Size Gap for Zero Temperature Black Holes in Semiclassical Gravity
• Unveiling horizons in quantum critical collapse
• Quantum Critical Collapse Abhors a Naked Singularity
• Quantum fields in boson star spacetime