When is g_{tt} g_{rr} = -1?
| dc.creator | Jacobson, Ted | |
| dc.date | 2007-07-21 | |
| dc.date | 2007-09-28 | |
| dc.date.accessioned | 2026-07-07T11:17:59Z | |
| dc.date.available | 2026-07-07T11:17:59Z | |
| dc.description | The Schwarzschild metric, its Reissner-Nordstrom-de Sitter generalizations to higher dimensions, and some further generalizations all share the feature that g_{tt} g_{rr}=-1 in Schwarzschild-like coordinates. In this pedagogical note we trace this feature to the condition that the Ricci tensor (and stress-energy tensor in a solution to Einstein's equation) has vanishing radial null-null component, i.e. is proportional to the metric in the t-r subspace. We also show this condition holds if and only if the area-radius coordinate is an affine parameter on the radial null geodesics. | |
| dc.description | 3 pages; v2: references, and discussion of Born-Infeld solutions and O(3) and string hedgehogs added; 4 pages; v3: slight editing; comment added that condition implies radial pressure is negative of energy density; version to appear in CQG | |
| dc.identifier | https://arxiv.org/abs/0707.3222 | |
| dc.identifier | http://arxiv.org/abs/0707.3222 | |
| dc.identifier | Class.Quant.Grav.24:5717-5719,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/22/N02 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193196 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | When is g_{tt} g_{rr} = -1? | |
| dc.type | text |