Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws

Details Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws

2002-07-21

arxiv.org/abs/gr-qc/0207080v3

Phys.Rev.Lett.89:261101,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, RevTeX4. Minor typos corrected. To appear in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.89.261101

Dynamical horizons are considered in full, non-linear general relativity. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local, the energy flux is positive and change in the horizon area is related to these fluxes. The flux formulae also give rise to balance laws analogous to the ones obtained by Bondi and Sachs at null infinity and provide generalizations of the first and second laws of black hole mechanics.

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