Electromagnetism and perfect fluids interplay in multidimensional spacetimes

Details Electromagnetism and perfect fluids interplay in multidimensional spacetimes Electromagnetism and perfect fluids interplay in multidimensional spacetimes

2007-07-21

arxiv.org/abs/0707.3190v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, a talk delivered at the 11th Marcel Grossmann Meeting (2006)

Scientific paper

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).

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