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APS » Journals » Phys. Rev. Lett. » Volume 89 » Issue 26
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Phys. Rev. Lett. 89, 261101 (2002) [4 pages]

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

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Abhay Ashtekar* and Badri Krishnan†
Center for Gravitational Physics and Geometry and Center for Gravitational Wave Physics, Department of Physics, Penn State University, University Park, Pennsylvania 16802

Received 25 July 2002; published 11 December 2002

See accompanying Physics Focus

Dynamical horizons are considered in full, nonlinear 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 formulas 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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.261101
DOI:
10.1103/PhysRevLett.89.261101
PACS:
04.25.Dm, 04.70.Bw

*Electronic address: ashtekar@gravity.psu.edu

†Present address: Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany.

Electronic address: badkri@aei-potsdam.mpg.de

 
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