Covariant Generalisation of Codazzi-Raychaudhuri and Area Change Equations for Relativistic Branes

Details Covariant Generalisation of Codazzi-Raychaudhuri and Area Change Equations for Relativistic Branes Covariant Generalisation of Codazzi-Raychaudhuri and Area Change Equations for Relativistic Branes

1997-10-21

arxiv.org/abs/hep-th/9710169v1

J.Geom.Phys. 28 (1998) 271-288

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX

Scientific paper

10.1016/S0393-0440(97)00085-5

In this paper we derive the generalisations of Gauss-Codazzi, Raychaudhuri
and area change equations for classical relativistic branes and
multidimensional fluids in arbitrary background manifolds with metricity and
torsion. The kinematical description we develop is fully covariant and based on
the use of projection tensors tilted with respect to the brane worldsheets.

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