Geometrodynamics in a spherically symmetric, static crossflow of null dust

Details Geometrodynamics in a spherically symmetric, static crossflow of null dust Geometrodynamics in a spherically symmetric, static crossflow of null dust

2006-05-22

arxiv.org/abs/gr-qc/0605116v2

Phys.Rev.D74:084034,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Section on boundary behavior and fall-off conditions of canonical variables added. New references, 1 new figure, 12 pages. Ver

Scientific paper

10.1103/PhysRevD.74.084034

The spherically symmetric, static spacetime generated by a crossflow of non-interacting radiation streams, treated in the geometrical optics limit (null dust) is equivalent to an anisotropic fluid forming a radiation atmosphere of a star. This reference fluid provides a preferred / internal time, which is employed as a canonical coordinate. Among the advantages we encounter a new Hamiltonian constraint, which becomes linear in the momentum conjugate to the internal time (therefore yielding a functional Schr\"{o}dinger equation after quantization), and a strongly commuting algebra of the new constraints.

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