Geometry of Deformations of Relativistic Membranes

Details Geometry of Deformations of Relativistic Membranes Geometry of Deformations of Relativistic Membranes

1994-11-23

arxiv.org/abs/gr-qc/9411060v2

Phys.Rev. D51 (1995) 6736-6743

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, Plain Tex, sign errors corrected, many new references added. To appear in Physical Review D

Scientific paper

10.1103/PhysRevD.51.6736

A kinematical description of infinitesimal deformations of the worldsheet spanned in spacetime by a relativistic membrane is presented. This provides a framework for obtaining both the classical equations of motion and the equations describing infinitesimal deformations about solutions of these equations when the action describing the dynamics of this membrane is constructed using {\it any} local geometrical worldsheet scalars. As examples, we consider a Nambu membrane, and an action quadratic in the extrinsic curvature of the worldsheet.

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