Graviton-photon mixing. Exact solution in a constant magnetic field

Abstract

In this work I study the effect of graviton-photon mixing in a constant external magnetic field and find for the first time in the literature exact solution of the equations of motion. In particular, I apply the effect of graviton-photon mixing to the case of interaction of gravitational waves with an external magnetic field and calculate the intensity Stokes parameter of the produced electromagnetic radiation. The obtained results are new and extend previous results obtained by using approximation methods.

9 pages. A typo present in Eq. (19) which also propagated to Eq. (20) and Eq. (22) has been fixed. This typo was a missing ${\omega }^2$ in these equations

References in corpus (4)

• Upper limits on the amplitude of ultra-high-frequency gravitational waves from graviton-photon mixing
• Relic gravitational waves from light primordial black holes
• Conversion of relic gravitational waves into photons in cosmological magnetic fields
• One loop photon-graviton mixing in an electromagnetic field: Part 2

Cited by in corpus (8)

• Potential of radio telescopes as high-frequency gravitational wave detectors
• Shimmering gravitons in the gamma-ray sky
• Constraining gravitational-wave backgrounds from conversions into photons in the Galactic magnetic field
• Graviton-photon conversion in stochastic magnetic fields
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• Theoretical Radio Signals from Radio-Band Gravitational Waves Converted from the Neutron Star Magnetic Field
• On the photon-pseudoscalar particle mixing in media and external fields
• Constraints on High-Frequency Gravitational Waves from Graviton-Photon Conversion in the M87 Galaxy