Quantum corrections to critical phenomena in gravitational collapse

Apr, 1998
6 pages
Published in:
  • Phys.Rev.D 58 (1998) 024006
e-Print:
Report number:
  • GRP-492

Citations per year

19982004201020162021120
Abstract: (arXiv)
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, MηηβM \propto |\eta-\eta^*|^\beta, we demonstrate the existence of a quantum mass gap when the classical critical exponent satisfies β0.5\beta \geq 0.5. When β<0.5\beta < 0.5 our argument is inconclusive; the semi-classical approximation breaks down in the spacetime region of interest.
  • field theory: massive
  • coupling: conformal
  • space-time
  • symmetry: rotation
  • tensor: energy-momentum
  • gravitation: semiclassical
  • critical phenomena
  • black hole: mass
  • mass: gap
  • numerical calculations