A new property of the electromagnetic/Yang–Mills-conformal gravity system in spherical symmetry

Zhang, Hongsheng  (School of Physics and Technology, University of Jinan, 336 West Road of Nan Xinzhuang, Jinan, Shandong, 250022, China) (State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China)

06 February 2019

Abstract: We find a new property in W2 -conformal gravity in spherical symmetry. We demonstrate that the charge of the electromagnetic field varies with respect to the partial scaling symmetry (conformal transformations in subspaces of a spacetime) in the conformal gravity. We find that the electric and magnetic charges can vanish or appear via partial conformal transformations for the on-shell configurations in the conformal gravity. We find a solution of a Yang–Mills SU(2)-charged black hole in the conformal gravity, and further demonstrate that the SU(2) charge has similar properties with electromagnetic magnetic charges in the conformal gravity. We demonstrate how to imbed the electromagnetic and Yang–Mills SU(2) gauge field into the conformal gravity via such a symmetry. We make a brief discussion about the possibility to extend this argument to the Einstein gravity.

Published in: Nuclear Physics B 940 (2019) 321-331
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.01.019
License: CC-BY-3.0

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