The metric in the superspace of Riemannian metrics and its relation to gravity
| dc.creator | Schmidt, H. -J. | |
| dc.date | 2001-09-01 | |
| dc.date.accessioned | 2026-07-07T03:26:18Z | |
| dc.date.available | 2026-07-07T03:26:18Z | |
| dc.description | The space of all Riemannian metrics is infinite-dimensional. Nevertheless a great deal of usual Riemannian geometry can be carried over. The superspace of all Riemannian metrics shall be endowed with a class of Riemannian metrics; their curvature and invariance properties are discussed. Just one of this class has the property to bring the lagrangian of General Relativity into the form of a classical particle's motion. The signature of the superspace metric depends in a non-trivial manner on the signature of the original metric, we derive the corresponding formula. Our approach is a local one: the essence is a metric in the space of all symmetric rank-two tensors, and then the space becomes a warped product of the real line with an Einstein space. | |
| dc.description | 10 pages, LaTeX, reprinted from Proc. Conf. Diff. Geom. Appl., Brno, Czechoslovakia 1989, WSPC Singapore, Eds. J. Janyska, D. Krupka | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0109001 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0109001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33992 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The metric in the superspace of Riemannian metrics and its relation to gravity | |
| dc.type | text |