Warped solitonic deformations and propagation of black holes in 5-D vacuum gravity
Dec, 2001Citations per year
Abstract:
In this paper we use the anholonomic frames method to construct exact solutions for vacuum 5D gravity with metrics having off-diagonal components. The solutions are in general anisotropic and possess interesting features such as an anisotropic warp factor with respect to the extra dimension, or a gravitational scaling/running of some of the physical parameters associated with the solutions. A certain class of solutions are found to describe Schwarzschild black holes which ``solitonically'' propagate in spacetime. The solitonic character of these black hole solutions arises from the embedding of a 3D soliton configuration (e.g. the soliton solutions to the Kadomtsev-Petviashvily or sine-Gordon equations) into certain ansatz functions of the 5D metric. These solitonic solutions may either violate or preserve local Lorentz invariance. In addition there is a connection between these solutions and noncommutative field theory.- gravitation
- vacuum state
- dimension: 3-5
- black hole: Schwarzschild
- soliton
- horizon: deformation
- field theory: noncommutative
- Kadomtsev-Petviashvili equation
- sine-Gordon equation
- field equations: solution
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