Symmetric solutions of Einstein-Yang-Mills equations
J.M. Mour\~ao
TL;DR
This paper explores symmetric gauge fields and invariant metrics in homogeneous spaces to find exact solutions to the Einstein-Yang-Mills equations, contributing to understanding gauge fields in curved spacetime.
Contribution
It introduces methods for constructing symmetric gauge fields and invariant metrics to obtain exact solutions of the Einstein-Yang-Mills equations.
Findings
Identified symmetric gauge fields in homogeneous spaces
Derived invariant metrics suitable for EYM equations
Presented exact solutions to Einstein-Yang-Mills equations
Abstract
Symmetric gauge fields and invariant metrics in homogeneous spaces are found. Their use for finding exact solutions of the Einstein-Yang-Mills (EYM) equations is discussed.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic and Geometric Analysis · Cosmology and Gravitation Theories