Quasilocal gravitational energy

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Quasilocal gravitational energy.

Abstract. A dynamically preferred quasi-local definition of gravitational energy is given in terms of the Hamiltonian of a ‘2+2’ formulation of general relativity. The energy is well-defined for any compact orientable spatial 2-surface, and depends on the fundamental forms only. The energy is zero for any surface in flat spacetime, and reduces to the Hawking mass in the absence of shear and twi...

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Gravitational energy seen by quasilocal observers

There have been many attempts to define quasilocal energy/mass for a spacelike 2-surface in a spacetime by the Hamilton–Jacobi method. The main difficulty in this approach is the subtle choice of the background configuration to be subtracted from the physical Hamiltonian. Quasilocal mass should be positive for general surfaces, but on the other hand should be zero for surfaces in the flat space...

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Quasilocal energy and conserved charges derived from the gravitational action.

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The classical value of the Hamiltonian for a system with timelike boundary has been interpreted as a quasilocal energy. This quasilocal energy is not positive definite. However, we derive a ‘quasilocal dominant energy condition’ which is the natural consequence of the local dominant energy condition. We discuss some implications of this quasilocal energy condition. In particular, we find that i...

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Quasilocal Energy in FRW Cosmology

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ژورنال

عنوان ژورنال: Physical Review D

سال: 1994

ISSN: 0556-2821

DOI: 10.1103/physrevd.49.831