Electromagnetism and perfect fluids interplay in multidimensional spacetimes
General Relativity and Quantum Cosmology
2016-11-15 v1
Abstract
We consider fields in (D>2)-dimensional spacetime, whose potential is r-form (skew-symmetric tensor of rank r), the field tensor F being its exterior derivative and the Lagrangian, a function of the quadratic invariant I of this tensor. It is shown that vector field (r=1) describes electromagnetic field only for D=4. In particular, for D=3 and the Lagrangean L as any function of the above-mentioned invariant, the (r=1)-field has energy-momentum tensor identical with that of a perfect fluid whose equation of state depends on the choice of L(I).
Cite
@article{arxiv.0707.3190,
title = {Electromagnetism and perfect fluids interplay in multidimensional spacetimes},
author = {N. V. Mitskievich},
journal= {arXiv preprint arXiv:0707.3190},
year = {2016}
}
Comments
5 pages, a talk delivered at the 11th Marcel Grossmann Meeting (2006)