Canonical theory of spherically symmetric spacetimes with cross-streaming null dusts

Details Canonical theory of spherically symmetric spacetimes with cross-streaming null dusts Canonical theory of spherically symmetric spacetimes with cross-streaming null dusts

2003-08-06

arxiv.org/abs/gr-qc/0308013v1

Phys.Rev. D68 (2003) 104016

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 3 figures, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.104016

The Hamiltonian dynamics of two-component spherically symmetric null dust is studied with regard to the quantum theory of gravitational collapse. The components--the ingoing and outgoing dusts--are assumed to interact only through gravitation. Different kinds of singularities, naked or "clothed", that can form during collapse processes are described. The general canonical formulation of the one-component null-dust dynamics by Bicak and Kuchar is restricted to the spherically symmetric case and used to construct an action for the two components. The transformation from a metric variable to the quasilocal mass is shown to simplify the mathematics. The action is reduced by a choice of gauge and the corresponding true Hamiltonian is written down. Asymptotic coordinates and energy densities of dust shells are shown to form a complete set of Dirac observables. The action of the asymptotic time translation on the observables is defined but it has been calculated explicitly only in the case of one-component dust (Vaidya metric).

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