On $d=4$ Yang-Mills instantons in a spherically symmetric background

Abstract

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor and does not disturb the geometry. We conjecture the existence of similar solutions for any nonextremal SO(3)-spherically symmetric background.

6 pages, 3 figures; v2: references added

References in corpus (1)

• Euclidean solutions in Einstein-Yang-Mills-dilaton theory

Cited by in corpus (1)

• Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions