Approximate spacetime symmetries and conservation laws
| dc.creator | Harte, Abraham I | |
| dc.date | 2008-05-28 | |
| dc.date | 2008-08-29 | |
| dc.date.accessioned | 2026-07-07T11:51:10Z | |
| dc.date.available | 2026-07-07T11:51:10Z | |
| dc.description | A notion of geometric symmetry is introduced that generalizes the classical concepts of Killing fields and other affine collineations. There is a sense in which flows under these new vector fields minimize deformations of the connection near a specified observer. Any exact affine collineations that may exist are special cases. The remaining vector fields can all be interpreted as analogs of Poincare and other well-known symmetries near timelike worldlines. Approximate conservation laws generated by these objects are discussed for both geodesics and extended matter distributions. One example is a generalized Komar integral that may be taken to define the linear and angular momenta of a spacetime volume as seen by a particular observer. This is evaluated explicitly for a gravitational plane wave spacetime. | |
| dc.description | 26 pages, 1 figure. Added an example and simplified presentation. Accepted by Classical and Quantum Gravity | |
| dc.identifier | https://arxiv.org/abs/0805.4259 | |
| dc.identifier | http://arxiv.org/abs/0805.4259 | |
| dc.identifier | Class.Quant.Grav.25:205008,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/20/205008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203806 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Approximate spacetime symmetries and conservation laws | |
| dc.type | text |