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Covariant generalisation of Codazzi-Raychaudhuri and area change equations for relativistic branes

1997/10/21 by Elias Zafiris, E. Zafiris
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/s0393-0440(97)00085-5

published as J.Geom.Phys. 28 (1998) 271-288 · 29 pages, LaTeX

arxiv created 1997/10/21 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations