The energy-momentum tensor as a second fundamental form
Differential Geometry
2007-05-23 v1
Abstract
We show that it is natural to consider the energy-momentum tensor associated with a spinor field as the second fundamental form of an isommetric immersion. In particular we give a generalization of the warped product construction over a Riemannian manifold leading to this interpretation. Special sections of the spinor bundle, generalizing the notion of Killing spinor, are studied. First applications of such a construction are then given.
Cite
@article{arxiv.math/0302205,
title = {The energy-momentum tensor as a second fundamental form},
author = {Bertrand Morel},
journal= {arXiv preprint arXiv:math/0302205},
year = {2007}
}
Comments
LaTeX, 13 pages