Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-02-23
Phys.Rev. D61 (2000) 064006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTex, 17 pages, final version, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.61.064006
In all 2d theories of gravity a conservation law connects the (space-time dependent) mass aspect function at all times and all radii with an integral of the matter fields. It depends on an arbitrary constant which may be interpreted as determining the initial value together with the initial values for the matter field. We discuss this for spherically reduced Einstein-gravity in a diagonal metric and in a Bondi-Sachs metric using the first order formulation of spherically reduced gravity, which allows easy and direct fixations of any type of gauge. The relation of our conserved quantity to the ADM and Bondi mass is investigated. Further possible applications (ideal fluid, black holes in higher dimensions or AdS spacetimes etc.) are straightforward generalizations.
Grumiller Daniel
Kummer Wolfgang
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