Regularized Conformal Electrodynamics: Novel C-metric in (2+1) Dimensions
arxiv(2024)
Abstract
Conformal electrodynamics is a particularly interesting example of power
Maxwell non-linear electrodynamics, designed to possess conformal symmetry in
all dimensions. In this paper, we propose a regularized version of Conformal
electrodynamics, minimally regularizing the field of a point charge at the
origin by breaking the conformal invariance of the theory with a dimensionfull
"Born-Infeld-like" parameter. In four dimensions the new theory reduces to the
recently studied Regularized Maxwell electrodynamics, distinguished by its
"Maxwell-like" solutions for accelerated and slowly rotating black hole
spacetimes. Focusing on three dimensions, we show that the new theory shares
many of the properties of its four-dimensional cousin, including the existence
of the charged C-metric solution (currently unknown in the Maxwell theory).
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