On the naturalness of Einstein's equation
| dc.creator | Navarro, Jose | |
| dc.creator | Sancho, Juan B. | |
| dc.date | 2007-09-12 | |
| dc.date | 2007-10-26 | |
| dc.date.accessioned | 2026-07-07T13:17:59Z | |
| dc.date.available | 2026-07-07T13:17:59Z | |
| dc.description | We compute all 2-covariant tensors naturally constructed from a semiriemannian metric which are divergence-free and have weight greater than -2. As a consequence, it follows a characterization of the Einstein tensor as the only, up to a constant factor, 2-covariant tensor naturally constructed from a semiriemannian metric which is divergence-free and has weight 0 (i.e., is independent of the unit of scale). Since these two conditions are also satisfied by the energy-momentum tensor of a relativistic space-time, we discuss in detail how these theorems lead to the field equation of General Relativity. | |
| dc.description | 12 pages, added references, corrected typos | |
| dc.identifier | https://arxiv.org/abs/0709.1928 | |
| dc.identifier | http://arxiv.org/abs/0709.1928 | |
| dc.identifier | J Geom. Phys. 58, 8 (2008) 1007-1014 | |
| dc.identifier | doi:10.1016/j.geomphys.2008.03.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231293 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Differential Geometry | |
| dc.title | On the naturalness of Einstein's equation | |
| dc.type | text |