Decoupling of EYMH Equations, Off-Diagonal Solutions, and Black Ellipsoids and Solitons

Details Decoupling of EYMH Equations, Off-Diagonal Solutions, and Black Ellipsoids and Solitons Decoupling of EYMH Equations, Off-Diagonal Solutions, and Black Ellipsoids and Solitons

2011-08-08

arxiv.org/abs/1108.2022v2

Physics

General Physics

latex2e, 11pt, v2 with a new Remark 3.1

Scientific paper

This paper is concerned with giving the proof that there is a general decoupling property of vacuum and nonvacuum Einstein equations written in variables adapted to nonholonomic 2+2 splitting. We show how such a geometric techniques can be applied for constructing generic off-diagonal exact solutions of Einstein-Yang-Mills-Higgs equations. The corresponding classes of solutions are determined by generating and integration functions which depend, in general, on all space and time coordinates and may possess, or not, Killing symmetries. The initial data sets for the Cauchy problem and their global properties are analyzed. There are formulated the criteria of evolution with spacetime splitting and decoupling of fundamental field equations. Examples of exact solutions defining black ellipsoid and solitonic configurations are provided.

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