Electromagnetic waves, gravitational coupling and duality analysis
E. M. C. Abreu, C. Pinheiro, S. A. Diniz, F. C. Khanna
TL;DR
This paper introduces a specific solution for electromagnetic waves with parallel electric and magnetic fields in a gravitational background, analyzing their properties and duality in both commutative and noncommutative frameworks.
Contribution
It presents a novel solution for electromagnetic waves in gravitational fields and explores electromagnetic duality under different mathematical frameworks.
Findings
Electromagnetic waves with parallel E and B fields are characterized in gravitational backgrounds.
Duality analysis reveals differences between commutative and noncommutative cases.
Continuity equations for these electromagnetic solutions are derived.
Abstract
In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave equations are computed such that the electric field does not induce the magnetic field and vice-versa. In a gravitational field, we analyze the Maxwell equations and the corresponding electromagnetic waves. A continuity equation is presented. A commutative and noncommutative analysis of the electromagnetic duality is described.
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