The Dynamics of Relativistic Hypersurfaces

Details The Dynamics of Relativistic Hypersurfaces The Dynamics of Relativistic Hypersurfaces

1998-10-05

arxiv.org/abs/hep-th/9810028v2

Physics

High Energy Physics

High Energy Physics - Theory

9 pages Revtex

Scientific paper

A dynamical theory of hypersurface deformations is presented. It is shown that a (n+1)-dimensional space-time can be always foliated by pure deformations, governed by a non zero Hamiltonian. Quantum deformations states are defined by Schroedinger's equation constructed with the corresponding deformation Hamiltonian operator, interpreted as the generator of the deformation diffeomorphism group. Applications to quantum gravity and to a modified Kaluza-Klein theory are proposed.

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