Quasi-Local Energy Flux of Spacetime Perturbation

Details Quasi-Local Energy Flux of Spacetime Perturbation Quasi-Local Energy Flux of Spacetime Perturbation

2008-09-15

arxiv.org/abs/0809.2567v2

Phys.Rev.D78:104010,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, added appendix, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.78.104010

A general expression for quasi-local energy flux for spacetime perturbation is derived from covariant Hamiltonian formulation using functional differentiability and symplectic structure invariance, which is independent of the choice of the canonical variables and the possible boundary terms one initially puts into the Lagrangian in the diffeomorphism invariant theories. The energy flux expression depends on a displacement vector field and the 2-surface under consideration. We apply and test the expression in Vaidya spacetime. At null infinity the expression leads to the Bondi type energy flux obtained by Lindquist, Schwartz and Misner. On dynamical horizons with a particular choice of the displacement vector, it gives the area balance law obtained by Ashtekar and Krishnan.

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