Interaction of Electromagnetic field with a Gravitational wave in Minkowski and de-Sitter space-time

Abstract

It is important to re-examine some of the interactions of gravitational waves with matter due to the recent discovery of the waves in LIGO. In a previous paper with Morales, interaction of gravitational waves was studied with scalar and neutrino fields in Minkowski space-time. In this paper, we find that Electromagnetic waves have a similar interaction with gravitational wave in a flat background, and we comment on the implications of this for a gravitational wave detector. Primordial gravitational waves were generated in the early universe and thus it is important to study interaction of the gravitational waves in cosmological backgrounds. In this paper we discuss the interaction of electromagnetic waves and gravitational waves in a de-Sitter background. We find that the Electromagnetic wave is perturbed and modulated. This result is new and will be useful in studying inhomogeneities in Cosmic Microwave Background.

Interaction of gravitational waves with Yang–Mills fields

“…We discuss the different types of SU(2) YM waves depending on the nature of the solutions, and their dependence on the coupling constant (g YM ). We find that there is no interaction between GW and Type I SU(2) YM waves when they are propagating in the same direction in Minkowski spacetime, similar to the electromagnetic waves as in [16]. We did find an interaction between the waves in the Type II case where the nonlinear terms for the YM equations were considered, or self-interaction terms are non-zero.…”

“…t=0, then the Green's function gives the total perturbation to comprise the particular and the general solution. The frequency ω 2 g + ω 2 y appears due to the solution of the homogeneous differential equation as observed in [16]. In an actual experiment, it is a natural boundary condition that the perturbation is 0, before the time of the arrival of the GW signal.…”

“…In the above, we have used Green's function for solutions to mass-less inhomogeneous wave equations as described in [14]. These solutions, apart from the particular solution to the inhomogeneous equations, also have contributions from modes with frequency ω 2 g + ω 2 y as in [14,16]. If we require the boundary condition that the perturbations are zero at the initial time, i.e.…”

“…In this paper, we try to find how the SU(2) YM progressive wave gets modified in the presence of a gravitational wave, just like the Electromagnetic (EM) waves, scalars and neutrinos in [16] & [14] respectively. These SU(2) YM fields represent a W and Z Boson field or a gluon field.…”

A Bound on the Rate of Bondi Mass Loss

“…The amplitudes of electromagnetic waves and gravitational waves both propagating in the same direction are oscillating in the Minkowski background, which means the conversion between photons and gravitons [6]. If the initial directions of gravitational waves and electromagnetic waves are perpendicular, electromagnetic waves change direction and flow at an angle to the initial waves [7]. So it is vital to explore the impacts of gravitational waves on electromagnetic waves.…”