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arXiv · 0809.0567

Wheeler-De Witt equation for brane gravity

Pawel Gusin
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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.

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Pawel Gusin. 2008-09-03. Wheeler-De Witt equation for brane gravity. https://doi.org/10.1103/physrevd.77.066017

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