Wheeler-De Witt equation for brane gravity

Details Wheeler-De Witt equation for brane gravity Wheeler-De Witt equation for brane gravity

2008-09-03

arxiv.org/abs/0809.0567v1

Phys.Rev.D77:066017,2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.77.066017

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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