Classical Gravitation as free Membrane Dynamics

Details Classical Gravitation as free Membrane Dynamics Classical Gravitation as free Membrane Dynamics

2005-09-22

arxiv.org/abs/gr-qc/0509090v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Fully revised version, 12 pages, 2 figures, revtex4

Scientific paper

The formulation of General Relativity in which the 4-dimensional space-time is embedded in a flat host space of higher dimension is reconsidered. New classes of embeddings (modeled after Nash's classical free embeddings) are introduced. They present the important advantage of being deformable and therefore physically realistic. Explicit examples of embeddings whose deformations DO describe gravitational waves around their respective backgrounds are given for several space-times, including the Schwarzschild black hole. New variational principles which give back Einstein's General Relativity are proposed. In this framework, the 4-D space-time is a membrane moving in a flat host space.

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