Gravitating Dyons in Vaidya Geometry
Buddhi Vallabh Tripathi, Hemwati Nandan, Heinz Dehnen, K D Purohit

TL;DR
This paper constructs dyonic solutions in Einstein-Yang-Mills-Higgs theory within Vaidya spacetime, revealing that the dyonic charge remains static and does not affect the null dust energy, advancing understanding of gravitating monopoles in dynamic backgrounds.
Contribution
It introduces a new set of dyonic solutions in Vaidya spacetime using a generalized Julia-Zee ansatz, expanding the study of gravitating dyons in dynamic curved backgrounds.
Findings
Dyonic charge is static in Vaidya spacetime.
Dyonic charge does not contribute to null dust energy.
New solutions extend understanding of monopoles in dynamic spacetimes.
Abstract
Gravitating monopoles and dyons in Einstein-Yang-Mills (EYM) or Einstein-Yang-Mills-Higgs (EYMH) systems have been extensively studied for various curved spacetimes, including those of black holes. We construct dyonic solutions of the EYMH theory in Vaidya spacetime using a set of generalized Julia-Zee ansatz for the fields. It is found that the dyonic charge is static in nature and it does not contribute to the energy of the null dust.
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