Conformally symmetric Abelian Higgs sunspot and non-metricity of the sun's spacetime

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Space-Time Functions, Sunspots, Yang-Mills Fields, Abel Function, Cosmology, Einstein Equations, Equations Of Motion

Scientific paper

A U(1)-symmetric Yang-Mills-Higgs sunspot's model is recognized to originate from a massless, complex-valued scalar field coupled minimally to electromagnetic gauge potentials in the background of a (globally) conformally symmetric semimetric spacetime, whose metric structure is described by the generalized Einstein equations with nonvanishing (positive-valued) cosmological constant. It is shown, in particular, that nonlinearity (self-coupling) of the scalar field appears due to a non-zeroness of the cosmological term, whereas its nonzero vacuum amplitude is induced by the (Ricci scalar) curvature of the sun's spacetime manifold.

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