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 (4)

• Duality between Electric and Magnetic Black Holes
• Dirty blackholes: Thermodynamics and horizon structure
• Yang-Mills Solutions on Euclidean Schwarzschild Space
• Euclidean solutions in Einstein-Yang-Mills-dilaton theory

Cited by in corpus (5)

• Yang-Mills Instantons from Gravitational Instantons
• Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions
• Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions
• New self-dual solutions of SU(2) Yang-Mills theory in Euclidean Schwarzschild space
• A Higgs--Chern-Simons gravity model in 2+1 dimensions