Brane variation Dirac style

David Karasik; Aharon Davidson

doi:10.1088/0264-9381/21/6/001

Brane variation Dirac style

David Karasik, Aharon Davidson

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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) the Israel junction condition, (ii) the energy/momentum conservation on the brane and (iii) a geodetic-type equation for the brane.

Original language	English
Pages (from-to)	1295-1302
Number of pages	8
Journal	Classical and Quantum Gravity
Volume	21
Issue number	6
DOIs	https://doi.org/10.1088/0264-9381/21/6/001
State	Published - 21 Mar 2004

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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AB - 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) the Israel junction condition, (ii) the energy/momentum conservation on the brane and (iii) a geodetic-type equation for the brane.

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Brane variation Dirac style

Abstract

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