Classical Gravitation as free Membrane Dynamics

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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.
Fully revised version, 12 pages, 2 figures, revtex4

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General Relativity and Quantum Cosmology, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/122114

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0509090
 http://arxiv.org/abs/gr-qc/0509090

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arXiv