Involutive Spacetime Distributions and p-Brane Dynamics
| dc.creator | Mukherjee, Manash | |
| dc.date | 1997-07-14 | |
| dc.date.accessioned | 2026-07-07T10:15:50Z | |
| dc.date.available | 2026-07-07T10:15:50Z | |
| dc.description | We propose a precise definition of multidimensional fluids generated by self-gravitating extended objects such as strings and membranes: a p-dimensional perfect fluid is a smooth involutive p-dimensional distribution on a spacetime, each integral manifold of which is a timelike, connected, immersed submanifold of dimension, p -- representing the history of a (p-1)-dimensional extended object. This geometric formulation of perfect fluids of higher dimensions naturally leads to the associated stress-energy tensor. Furthermore, the laws of temporal evolution and symmetries of such systems are derived, in general, from the Einstein field equations and the integrability conditions. We also present a matter model based on a 2-dimensional involutive distribution, and it is shown that the stress-energy tensor for self-gravitating strings gives rise to a non-trivial spherically symmetric spacetime with a naked singularity. | |
| dc.description | 25 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/physics/9707013 | |
| dc.identifier | http://arxiv.org/abs/physics/9707013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173308 | |
| dc.subject | Mathematical Physics | |
| dc.title | Involutive Spacetime Distributions and p-Brane Dynamics | |
| dc.type | text |