Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-06-09
Phys.Rev.D80:044011,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages, 6 figures, revtex4; v2 -- minor reformatting, some typos fixed, one reference added, to appear in PRD
Scientific paper
10.1103/PhysRevD.80.044011
We provide a detailed analysis of quantum field theory around a collapsing shell and discuss several conceptual issues related to the emission of radiation flux and formation of black holes. Explicit calculations are performed using a model for a collapsing shell which turns out to be analytically solvable. We use the insights gained in this model to draw reliable conclusions regarding more realistic models. We first show that any shell of mass $M$ which collapses to a radius close to $r=2M$ will emit approximately thermal radiation for a period of time. In particular, a shell which collapses from some initial radius to a final radius $2M(1-\epsilon^2)^{-1}$ (where $\epsilon \ll 1$) without forming a black hole, will emit thermal radiation during the period $M\lesssim t \lesssim M\ln (1/\epsilon^2)$. Later on ($t\gg M \ln(1/\epsilon^2)$), the flux from such a shell will decay to zero exponentially. We next study the effect of backreaction computed using the vacuum expectation value of the stress tensor on the collapse. We find that, in any realistic collapse scenario, the backreaction effects do \emph{not} prevent the formation of the event horizon. The time at which the event horizon is formed is, of course, delayed due to the radiated flux -- which decreases the mass of the shell -- but this effect is not sufficient to prevent horizon formation. We also clarify several conceptual issues and provide pedagogical details of the calculations in the Appendices to the paper.
Padmanabhan Thanu
Paranjape Aseem
No associations
LandOfFree
Radiation from collapsing shells, semiclassical backreaction and black hole formation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Radiation from collapsing shells, semiclassical backreaction and black hole formation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radiation from collapsing shells, semiclassical backreaction and black hole formation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-65379