Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
| dc.creator | Brown, J. David | |
| dc.creator | York, James W. | |
| dc.date | 1992-09-29 | |
| dc.date.accessioned | 2026-07-07T11:46:21Z | |
| dc.date.available | 2026-07-07T11:46:21Z | |
| dc.description | The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained by employing a Hamilton-Jacobi analysis of the action functional. First, a surface stress-energy-momentum tensor is defined by the functional derivative of the action with respect to the three-metric on ${}^3B$, the history of the system's boundary. Energy density, momentum density, and spatial stress are defined by projecting the surface stress tensor normally and tangentially to a family of spacelike two-surfaces that foliate ${}^3B$. The integral of the energy density over such a two-surface $B$ is the quasilocal energy associated with a spacelike three-surface $Σ$ whose intersection with ${}^3B$ is the boundary $B$. The resulting expression for quasilocal energy is given in terms of the total mean curvature of the spatial boundary $B$ as a surface embedded in $Σ$. The quasilocal energy is also the value of the Hamiltonian that generates unit magnitude proper time translations on ${}^3B$ in the direction orthogonal to $B$. Conserved charges such as angular momentum are defined using the surface stress tensor and Killing vector fields on ${}^3B$. For spacetimes that are asymptotically flat in spacelike directions, the quasilocal energy and angular momentum defined here agree with the results of Arnowitt-Deser-Misner in the limit that the boundary tends to spatial infinity. For spherically symmetric spacetimes, it is shown that the quasilocal energy has the correct Newtonian limit, and includes a negative contribution due to gravitational binding. | |
| dc.description | 35 pages, plain TeX. Two figures available upon request (jdbrown@math.ncsu.edu) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9209012 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9209012 | |
| dc.identifier | Phys.Rev.D47:1407-1419,1993 | |
| dc.identifier | doi:10.1103/PhysRevD.47.1407 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202196 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quasilocal Energy and Conserved Charges Derived from the Gravitational Action | |
| dc.type | text |