dorsal/arxiv
View SchemaInvolutive Spacetime Distributions and p-Brane Dynamics
| Authors | Manash Mukherjee |
|---|---|
| Categories | |
| ArXiv ID | physics/9707013 |
| URL | https://arxiv.org/abs/physics/9707013 |
Abstract
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.
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"abstract": "We propose a precise definition of multidimensional fluids generated by\nself-gravitating extended objects such as strings and membranes: a\np-dimensional perfect fluid is a smooth involutive p-dimensional distribution\non a spacetime, each integral manifold of which is a timelike, connected,\nimmersed submanifold of dimension, p -- representing the history of a\n(p-1)-dimensional extended object. This geometric formulation of perfect fluids\nof higher dimensions naturally leads to the associated stress-energy tensor.\nFurthermore, the laws of temporal evolution and symmetries of such systems are\nderived, in general, from the Einstein field equations and the integrability\nconditions. We also present a matter model based on a 2-dimensional involutive\ndistribution, and it is shown that the stress-energy tensor for\nself-gravitating strings gives rise to a non-trivial spherically symmetric\nspacetime with a naked singularity.",
"arxiv_id": "physics/9707013",
"authors": [
"Manash Mukherjee"
],
"categories": [
"math-ph",
"math.MP"
],
"title": "Involutive Spacetime Distributions and p-Brane Dynamics",
"url": "https://arxiv.org/abs/physics/9707013"
},
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