Graviton-photon mixing. Exact solution in a constant magnetic field
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Springer
Received: April 7, 2020 Accepted: May 7, 2020 Published: June 3, 2020
Damian Ejlli School of Physics and Astronomy, Cardiff University, The Parade, Cardiff CF24 3AA, United Kingdom
E-mail: [email protected] 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. Keywords: Classical Theories of Gravity, Effective Field Theories, Models of Quantum Gravity, Cosmology of Theories beyond the SM ArXiv ePrint: 2004.02714
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)029
JHEP06(2020)029
Graviton-photon mixing. Exact solution in a constant magnetic field
Contents 1 Introduction
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2 Formulation of the problem
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3 Exact analytical solution of equations of motion
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4 Energy flux and density parameter of generated electromagnetic radiation 9
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Introduction
In the recent years there have been several detections of Gravitational Waves (GWs) by LIGO and/or VIRGO from astrophysical sources such as binary systems of black holes and neutron stars. The detection of GWs has been one of the biggest experimental achievements of the century. The GWs detected by LIGO and/or VIRGO typically have a frequency range from few Hz to few kHz. In addition, there are many other sources that emit GWs in other frequency bands with equally physical importance to those detected by LIGO and/or VIRGO. In particular, there are several sources of cosmological origin of GWs that emit in the frequency range from few GHz to 1018 Hz that include primordial black holes, cosmic strings etc., see refs. [1] and [2] for more details. The primary issue with GWs in the high frequency range is that at the moment there is not any direct way such that used by LIGO and VIRGO that could possibly detect them. The reason of such difficulty comes from the fact that at these high frequencies one must have extremely high sensitive ordinary GW detectors to achieve the predicted strain sensitivity. One way to pursue detection of GWs at these high frequencies is to use an indirect way such as the transformation of GWs into electromagnetic radiation in the presence of an external electromagnetic field. This interesting effect comes as a result of interaction of GWs with electromagnetic waves that produces electromagnetic waves out of GWs, see ref. [3] for details. The transformation of GWs into electromagnetic waves, in the particular case, in the presence of an external magnetic field, has been studied in the literature by many authors and it has been applied in many contexts, see refs. [3–10]. However, one important aspect of all these st
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