The principle of equivalence and projective structure in space-times
| dc.creator | Hall, G. S. | |
| dc.creator | Lonie, D. P. | |
| dc.date | 2007-03-21 | |
| dc.date.accessioned | 2026-07-07T10:37:15Z | |
| dc.date.available | 2026-07-07T10:37:15Z | |
| dc.description | This paper discusses the extent to which one can determine the space-time metric from a knowledge of a certain subset of the (unparametrised) geodesics of its Levi-Civita connection, that is, from the experimental evidence of the equivalence principle. It is shown that, if the space-time concerned is known to be vacuum, then the Levi-Civita connection is uniquely determined and its associated metric is uniquely determined up to a choice of units of measurement, by the specification of these geodesics. It is further demonstrated that if two space-times share the same unparametrised geodesics and only one is assumed vacuum then their Levi-Civita connections are again equal (and so the other metric is also a vacuum metric) and the first result above is recovered. | |
| dc.description | 23 pages, submitted to Classical and Quantum Gravity | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0703104 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0703104 | |
| dc.identifier | Class.Quant.Grav.24:3617-3636,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/14/005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180321 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The principle of equivalence and projective structure in space-times | |
| dc.type | text |