Wheeler-De Witt equation for brane gravity
arXiv:0809.0567 · doi:10.1103/PhysRevD.77.066017
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.
References in corpus (10)
- de Sitter Vacua in String Theory
- DBI in the Sky
- Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
- A Picture of D-branes at Strong Coupling
- Covariant Quantization of D-branes
- The Landscape of String Theory and The Wave Function of the Universe
- False Vacuum Decay With Gravity in Non-Thin-Wall Limit
- Canonical Formulation of IIB D-branes
- Geometric Actions for D-Branes and M-Branes
- Cosmological Aspects of the D-brane World
Cited by in corpus (6)
- Class of solutions of the Wheeler-DeWitt equation in the Friedmann-Robertson-Walker universe
- Measures of distance in quantum mechanics
- A Quantum Informational Approach to the Problem of Time
- Quantum relativistic cosmology: dynamical interpretation and tunneling universe
- Calculation of the determinant in the Wheeler-De Witt equation
- Klein-Gordon equation for a particle in brane model