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

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arxiv hep-th/9710169 v1 pith:LRQD2DZV submitted 1997-10-21 hep-th

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keywords areabraneschangecovariantequationsrelativisticarbitrarybackground
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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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    In a generalized Ellis-Bronnikov wormhole, a gravitational wave pulse leaves lasting changes in geodesic separation and congruence expansion, with the effect size set by the wormhole's throat radius and steepness.

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