Gravitational Collapse of a Shell of Quantized Matter

Details Gravitational Collapse of a Shell of Quantized Matter Gravitational Collapse of a Shell of Quantized Matter

1998-08-10

arxiv.org/abs/gr-qc/9808026v2

Class.Quant.Grav.16:131-147,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 1 eps figure. Problem with figure fixed

Scientific paper

10.1088/0264-9381/16/1/010

The semi-classical collapse, including lowest order back-reaction, of a thin shell of self-gravitating quantized matter is illustrated. The conditions for which self-gravitating matter forms a thin shell are first discussed and an effective Lagrangian for such matter is obtained. The matter-gravity system is then quantized, the semi-classical limit for gravitation is taken and the method of adiabatic invariants is applied to the resulting time dependent matter Hamiltonian. The governing equations are integrated numerically, for suitable initial conditions, in order to illustrate the effect of back-reaction, due to the creation of matter, in slowing down the collapse near the horizon.

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