Geometrodynamics in a spherically symmetric, static crossflow of null dust
arXiv:gr-qc/0605116 · doi:10.1103/PhysRevD.74.084034
Abstract
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 Schrödinger equation after quantization), and a strongly commuting algebra of the new constraints.
arXiv commentSection on boundary behavior and fall-off conditions of canonical variables added. New references, 1 new figure, 12 pages. Version accepted in Phys.Rev.D
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