Gravitational energy as Noether charge
| dc.creator | Hayward, Sean A. | |
| dc.date | 2000-04-13 | |
| dc.date.accessioned | 2026-07-07T03:24:52Z | |
| dc.date.available | 2026-07-07T03:24:52Z | |
| dc.description | A definition of gravitational energy is proposed for any theory described by a diffeomorphism-invariant Lagrangian. The mathematical structure is a Noether- current construction of Wald involving the boundary term in the action, but here it is argued that the physical interpretation of current conservation is conservation of energy. This leads to a quasi-local energy defined for compact spatial surfaces. The energy also depends on a vector generating a flow of time. Angular momentum may be similarly defined, depending on a choice of axial vector. For Einstein gravity: for the usual vector generating asymptotic time translations, the energy is the Bondi energy; for a stationary Killing vector, the energy is the Komar energy; in spherical symmetry, for the Kodama vector, the energy is the Misner-Sharp energy. In general, the lack of a preferred time indicates the lack of a preferred energy, reminiscent of the energy-time duality of quantum theory. | |
| dc.description | 4 pages, revtex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0004042 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0004042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33505 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Gravitational energy as Noether charge | |
| dc.type | text |