Nonsingular brane solutions via the Darboux transformation
- Theoretical Physics Department, Kaliningrad State University, A. Nevskogo street, 14, 236041 (Russian Federation)
We consider the Darboux transformation as a method of construction of exact nonsingular solutions describing the three-dimensional brane that interacts with five-dimensional gravity and the bulk scalar field. To make it work, the five-dimensional Einstein's equations and the Israel's conditions are being reduced to the Schroedinger equation with the jump-like potential and the wave functions sewing conditions in jump point correspondingly. We show further that it is always possible to choose the functions in Crum's determinants in such way that the five-dimensional Ricci scalar R will always be finite both on brane and in bulk. The new exact solutions being the generalizations of the model with the odd superpotential are presented. Described formalism is also applicable to the cases of more realistic branes with cosmological expansion. As an example, via the usage of the simple orbifold model (S{sub 1}/Z{sub 2}) and one-time Darboux transformation we construct the models where the cosmological constant on the visible brane is exponentially small.
- OSTI ID:
- 20711172
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 72, Issue 2; Other Information: DOI: 10.1103/PhysRevD.72.026003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Induced gravity with a nonminimally coupled scalar field on the brane
Cosmological dynamics of brane f(R) gravity
Related Subjects
COSMOLOGICAL CONSTANT
COSMOLOGY
EINSTEIN FIELD EQUATIONS
EXACT SOLUTIONS
GRAVITATION
MANY-DIMENSIONAL CALCULATIONS
MEMBRANES
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS
SCALARS
SCHROEDINGER EQUATION
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS