The Geometry of the Frame Bundle over Spacetime
| dc.creator | Ståhl, Fredrik | |
| dc.date | 2000-06-13 | |
| dc.date.accessioned | 2026-07-07T03:25:03Z | |
| dc.date.available | 2026-07-07T03:25:03Z | |
| dc.description | One of the known mathematical descriptions of singularities in General Relativity is the b-boundary, which is a way of attaching endpoints to inextendible endless curves in a spacetime. The b-boundary of a manifold M with connection is constructed by forming the Cauchy completion of the frame bundle LM equipped with a certain Riemannian metric, the b-metric G. We study the geometry of (LM,G) as a Riemannian manifold in the case when the connection is the Levi-Civita connection of a Lorentzian metric g on M. In particular, we give expressions for the curvature and discuss the isometries and the geodesics of (LM,G) in relation to the geometry of (M,g). | |
| dc.description | 14 pages, no figures, LaTeX 2e with AMSLaTeX 1.2 and AMSFonts, submitted to J. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0006049 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0006049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33571 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Geometry of the Frame Bundle over Spacetime | |
| dc.type | text |