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Journal Article

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

MPS-Authors

Ashtekar,  Abhay
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Krishnan,  Badri
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Ashtekar, A., & Krishnan, B. (2002). Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws. Physical Review Letters, 89: 261101.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-556E-1
Abstract
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.