Gravitational Collapse of a Shell of Quantized Matter

Abstract

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.

20 pages, 1 eps figure. Problem with figure fixed

References in corpus (5)

• Classical and Quantum Shell Dynamics, and Vacuum Decay
• Black hole formation from massive scalar fields
• Spherically symmetric gravitating shell as a reparametrization invariant system
• Dispersion of Klauder's temporally stable coherent states for the hydrogen atom
• Adiabatic Invariant Treatment of a Collapsing Sphere of Quantized Dust

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