Wheeler-De Witt equation for brane gravity
High Energy Physics - Theory
2008-11-26 v1
Abstract
We consider the gravity in the system consisting of the Bogomol'nyi-Prasad-Sommerfield (BPS) D3-brane embedded in the flat background geometry, produced by the solutions of the supergravity. The effective action for this system is represented by the sum of the Hilbert-Einstein and DBI actions. We derive the Wheeler-De Witt equation for this system and obtain analytical solutions in some special cases. We also calculate tunneling probability from Planckian size of D3-brane to the classical regime.
Keywords
Cite
@article{arxiv.0809.0567,
title = {Wheeler-De Witt equation for brane gravity},
author = {Pawel Gusin},
journal= {arXiv preprint arXiv:0809.0567},
year = {2008}
}