Classical membrane in a time dependent orbifold

Details Classical membrane in a time dependent orbifold Classical membrane in a time dependent orbifold

2009-03-04

arxiv.org/abs/0903.0774v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figures, revtex4; version submitted for publication

Scientific paper

We analyze classical theory of a membrane propagating in a singular background spacetime. The algebra of the first-class constraints of the system defines the membrane dynamics. A membrane winding uniformly around compact dimension of embedding spacetime is described by two constraints, which are interpreted in terms of world-sheet diffeomorhisms. The system is equivalent to a closed bosonic string propagating in a curved spacetime. Our results may be used for finding a quantum theory of a membrane in the compactified Milne space.

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