Quasi-Local Gravitational Energy

Details Quasi-Local Gravitational Energy Quasi-Local Gravitational Energy

1993-03-26

arxiv.org/abs/gr-qc/9303030v1

Phys.Rev. D49 (1994) 831-839

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1103/PhysRevD.49.831

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 twist. For asymptotically flat spacetimes, the energy tends to the Bondi mass at null infinity and the \ADM mass at spatial infinity, taking the limit along a foliation parametrised by area radius. The energy is calculated for the Schwarzschild, Reissner-Nordstr\"om and Robertson-Walker solutions, and for plane waves and colliding plane waves. Energy inequalities are discussed, and for static black holes the irreducible mass is obtained on the horizon. Criteria for an adequate definition of quasi-local energy are discussed.

Affiliated with

Also associated with

No associations

Rating

Quasi-Local Gravitational Energy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-Local Gravitational Energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Local Gravitational Energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133903