Einstein's Gravity From a First Order Lagrangian in an Embedding Space
1986Citations per year
Abstract: (arXiv)
Here we place the Latex typeset of the paper M. Pavsic, Phys. Lett. A116 (1986) 1-5 In the paper we presented the picture that our spacetime is a 3-brane moving in a higher dimensional space. The dynamical equations were derived from the action which is just that for the usual Dirac-Nambu-Goto -brane. We also considered the case where not only one, but many branes of various dimensionalities are present, and showed that their intersections with the 3-brane manifest as matter in 4-dimensional spacetime. We considered a particular case, where the intersections behaved as point particles, and found out that they follow the geodesics on the 3-brane worldsheet (identified with our spacetime). In a series of subsequent papers the original idea has been further improved and developped. This is discussed in a note at the end, where it is also pointed out that such a model resolves the problem of massive matter confinement on the brane, recently discussed by Rubakov et al. and Mueck et al. \.Note:
- The body of the eprint (GRQC-0101075) is identical to the published version but with added footnotes at the end. The title has been changed in the published version •
- 11 pages Journal-ref: Phys. Lett. A Vol. 116, pp.1-5 (1986)
- space-time: model
- membrane model
- matter
- space-time: embedding
- Einstein equation
- FIELD THEORY: SPACE-TIME
- FIELD THEORY: HIGHER-DIMENSIONAL
- general relativity
- FIELD THEORY: ACTION
- MATTER: DENSITY
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