### Brane Variation Dirac StyleBrane Variation Dirac Style

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 Author Karasik, David ♦ Davidson, Aharon Source arXiv.org Content type Text File Format PDF Date of Submission 2002-02-04 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ General Relativity and Quantum Cosmology ♦ physics:gr-qc ♦ physics:hep-th Abstract Dirac's method for variations of a brane embedded in co-dimension one is demonstrated. The variation in the location of the brane invokes a rest frame formulation of the 'sandwiched' brane action. We first demonstrate the necessity of this method by re-deriving Snell's law. Second, we apply the method to a general $N$-dimensional brane embedded in co-dimension one bulk in the presence of gravity. We re-derive the brane equations: (i) Israel junction condition, (ii) Energy/momentum conservation on the brane, and (iii) Geodetic-type equation for the brane. Description Reference: Class.Quant.Grav. 21 (2004) 1295-1302 Educational Use Research Learning Resource Type Article Page Count 7