Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-07-16
Phys.Rev. D67 (2003) 064012
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, 1 figure, minor changes
Scientific paper
10.1103/PhysRevD.67.064012
Within the framework of geodetic brane gravity, the Universe is described as a 4-dimensional extended object evolving geodetically in a higher dimensional flat background. In this paper, by introducing a new pair of canonical fields {lambda, P_{lambda}}, we derive the quadratic Hamiltonian for such a brane Universe; the inclusion of matter then resembles minimal coupling. Second class constraints enter the game, invoking the Dirac bracket formalism. The algebra of the first class constraints is calculated, and the BRST generator of the brane Universe turns out to be rank-1. At the quantum level, the road is open for canonical and/or functional integral quantization. The main advantages of geodetic brane gravity are: (i) It introduces an intrinsic, geometrically originated, 'dark matter' component, (ii) It offers, owing to the Lorentzian bulk time coordinate, a novel solution to the 'problem of time', and (iii) It enables calculation of meaningful probabilities within quantum cosmology without any auxiliary scalar field. Intriguingly, the general relativity limit is associated with lambda being a vanishing (degenerate) eigenvalue.
Davidson Aharon
Karasik David
No associations
LandOfFree
Geodetic Brane Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geodetic Brane Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodetic Brane Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-42876