Gravitational collapse of a radiating shell

We study the collapse of a self-gravitating and radiating shell. Matter constituting the shell is quantized and the construction is viewed as a semiclassical model of possible black hole formation. It is shown that the shell internal degrees of freedom are excited by the quantum non-adiabaticity of the collapse and, consequently, on coupling them to a massless scalar field, the collapsing matter emits a burst of coherent (thermal) radiation.

[1]  P. Hájícek,et al.  Covariant gauge fixing and Kuchař decomposition , 1999, gr-qc/9908051.

[2]  S. Hawking,et al.  Black hole explosions? , 1974, Nature.

[3]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[4]  Effective action and thermodynamics of radiating shells in general relativity , 1999, gr-qc/9909018.

[5]  Gao,et al.  Geometric phase and the generalized invariant formulation. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[6]  S. Christensen,et al.  Trace Anomalies and the Hawking Effect , 1977 .

[7]  F. Dalfovo,et al.  Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.

[8]  Semiclassical collapse of a sphere of dust , 1995, gr-qc/9512032.

[9]  Gravitational collapse: The story so far , 2000, gr-qc/0006101.

[10]  Mechanics of isolated horizons , 1999, gr-qc/9907068.

[11]  David G. Boulware,et al.  Hawking radiation and thin shells , 1976 .

[12]  Adiabatic invariant treatment of a collapsing sphere of quantized dust , 1997, gr-qc/9706074.

[13]  George F. R. Ellis,et al.  The Large Scale Structure of Space-Time , 2023 .

[14]  Clifford M. Will,et al.  Theory and Experiment in Gravitational Physics , 1982 .

[15]  Gerard 't Hooft,et al.  The black hole interpretation of string theory , 1990 .

[16]  A. Messiah.  Quantum Mechanics , 1961 .

[17]  J. Bekenstein.  Black Holes and Entropy , 1973, Jacob Bekenstein.

[18]  R. Casadio.  On Gravitational Fluctuations and the Semiclassical Limit in Minisuperspace Models , 2000 .

[19]  N. D. Birrell,et al.  Quantum fields in curved space , 2007 .

[20]  Clifford M. Will,et al.  Theory and Experiment in Gravitational Physics: Frontmatter , 1993 .

[21]  Chaotic inflation from a scalar field in nonclassical states , 1997, gr-qc/9712098.

[22]  Optical geometry for gravitational collapse and Hawking radiation , 2000, gr-qc/0005106.

[23]  S. Hawking.  Particle creation by black holes , 1975 .

[24]  The Born - Oppenheimer approach to the matter - gravity system and unitarity , 1996, gr-qc/9604011.

[25]  Venturi,et al.  Time in semiclassical gravity. , 1989, Physical review. D, Particles and fields.

[26]  H. R. Lewis,et al.  An Exact Quantum Theory of the Time‐Dependent Harmonic Oscillator and of a Charged Particle in a Time‐Dependent Electromagnetic Field , 1969 .

[27]  Ulrich H. Gerlach.  The Mechanism of blackbody radiation from the incipient black hole , 1976 .

[28]  Quantized shells as a tool for studying semiclassical effects in general relativity , 1999, gr-qc/9911088.

[29]  The accelerated observer and quantum effects , 1995, quant-ph/9511024.

[30]  Hájícek.  Origin of Hawking radiation. , 1987, Physical review. D, Particles and fields.

[31]  W. Israel.  Gravitational collapse of a radiating star , 1967 .

[32]  Unitary dynamics of spherical null gravitating shells , 2000, hep-th/0007005.

[33]  Observations and theoretical models of gamma-ray bursts , 2001, astro-ph/0102122.

[34]  D. Page.  Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole , 1976 .

[35]  W. Israel.  Singular hypersurfaces and thin shells in general relativity , 1966 .

[36]  S. Hawking.  Breakdown of Predictability in Gravitational Collapse , 1976 .

[37]  P. C. Vaidya.  The gravitational field of a radiating star , 1951 .

[38]  Gravitational collapse of a shell of quantized matter , 1998, gr-qc/9808026.