Brane classical and quantum cosmology from an effective action

Details Brane classical and quantum cosmology from an effective action Brane classical and quantum cosmology from an effective action

2003-03-31

arxiv.org/abs/gr-qc/0303115v3

Phys.Rev. D68 (2003) 066009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Shortened to match version accepted by Phys. Rev. D (unabridged text found in version 2), 42 pages, 9 figures, Rextex4

Scientific paper

10.1103/PhysRevD.68.066009

Motivated by the Randall-Sundrum brane-world scenario, we discuss the classical and quantum dynamics of a (d+1)-dimensional boundary wall between a pair of (d+2)-dimensional topological Schwarzschild-AdS black holes. We assume there are quite general -- but not completely arbitrary -- matter fields living on the boundary ``brane universe'' and its geometry is that of an Friedmann-Lemaitre-Robertson-Walker (FLRW) model. The effective action governing the model in the mini-superspace approximation is derived. We find that the presence of black hole horizons in the bulk gives rise to a complex action for certain classically allowed brane configurations, but that the imaginary contribution plays no role in the equations of motion. Classical and instanton brane trajectories are examined in general and for special cases, and we find a subset of configuration space that is not allowed at the classical or semi-classical level; these correspond to spacelike branes carrying tachyonic matter. The Hamiltonization and Dirac quantization of the model is then performed for the general case; the latter involves the manipulation of the Hamiltonian constraint before it is transformed into an operator that annihilates physical state vectors. The ensuing covariant Wheeler-DeWitt equation is examined at the semi-classical level, and we consider the possible localization of the brane universe's wavefunction away from the cosmological singularity. This is easier to achieve for branes with low density and/or spherical spatial sections.

Affiliated with

Also associated with

No associations

Rating

Brane classical and quantum cosmology from an effective action 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 Brane classical and quantum cosmology from an effective action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Brane classical and quantum cosmology from an effective action will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101835