Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-03-08
Phys.Rev. D71 (2005) 104001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, refererences added, discussions clarified, version to appear in PRD
Scientific paper
10.1103/PhysRevD.71.104001
We give a Hamiltonian analysis of the asymptotically flat spherically symmetric system of gravity coupled to a scalar field. This 1+1 dimensional field theory may be viewed as the "standard model" for studying black hole physics. Our analysis is adapted to the flat slice Painleve-Gullstrand coordinates. We give a Hamiltonian action principle for this system, which yields an asymptotic mass formula. We then perform a time gauge fixing that gives a Hamiltonian as the integral of a local density. The Hamiltonian takes a relatively simple form compared to earlier work in Schwarzschild gauge, and therefore provides a setting amenable to full quantisation.
Husain Viqar
Winkler Oliver
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