- Access by Xinjiang University
Gravito-electromagnetic resonances in Minkowski space
Phys. Rev. D 88, 044006 – Published 2 August, 2013
DOI: https://doi.org/10.1103/PhysRevD.88.044006
Abstract
We consider the interaction between gravitational and electromagnetic radiation propagating on a Minkowski background and look into the effects of the former upon the latter. Not surprisingly, the coupling between these two sources leads to gravitationally driven electromagnetic waves. At the second perturbative level, the driving force appears as the superposition of two waves, the properties of which are decided by the initial conditions. We find that the Weyl-Maxwell interaction typically leads to electromagnetic beatlike signals and, in some cases, to the resonant amplification of the driven electromagnetic wave. For physically reasonable initial conditions, we show that these resonances imply a linear (in time) growth for the amplitude of the electromagnetic signal, with the overall amplification also depending on the strength of the driving gravity wave. Finally, we provide order-of-magnitude estimates of the achieved amplification by applying our analysis to astrophysical environments where both gravitational and electromagnetic waves are expected to coexist.
Article Text
References (9)
- V. B. Braginsky and M. B. Mensky, Gen. Relativ. Gravit. 3, 401 (1972); V. B. Braginsky, L. P. Grishchuk, A. G. Doroshkevich, V. B. Zeldovic, I. D. Novikov, and M. V. Sazkin, Sov. Phys. JETP 38, 865 (1974); L. P. Grishchuk, in Proceedings of the Ninth International Conference on General Relativity and Gravitation, edited by E. Schmutzer (Cambridge University Press, Cambridge, 1983); U. H. Gerlach, Phys. Rev. D 46, 1239 (1992); A. M. Cruise, Classical Quantum Gravity 17, 2525 (2000); G. Brodin and M. Marklund, 20, L45 (2003); L. P. Grishchuck, arXiv:gr-qc/0306013; F.-Y. Li, Y. Chen, and P. Wang, Chin. Phys. Lett. 24, 3328 (2007).
- C. G. Tsagas, Phys. Rev. D 84, 043524 (2011).
- L. D. Landau and E. M. Lifshitz, A Course in Theoretical Physics (Butterworth-Heinemann, Amsterdam, 1976), Vol. I.
- D. Sigg, in Neutrinos in Physics and Astrophysics, edited by P. Langacker (World Scientific, Singapore, 2000), p. 592; B. S. Sathyaprakash and B. F. Schutz, Living Rev. Relativity 12, 2 (2009).
- C. G. Tsagas, A. Challinor, and R. Maartens, Phys. Rep. 465, 61 (2008).
- D. M. Zipoy, Phys. Rev. 142, 825 (1966); F. I. Cooperstock, Ann. Phys. (N.Y.) 47, 173 (1968); A. M. Cruise, Mon. Not. R. Astron. Soc. 204, 485 (1983); R. Fakir, Astrophys. J. 418, 202 (1993); E. Montanari, Classical Quantum Gravity 15, 2493 (1998); G. Brodin and M. Marklund, Phys. Rev. Lett. 82, 3012 (1999); E. Montanari and M. Calura, Ann. Phys. (N.Y.) 282, 449 (2000); M. Halilsoy and O. Gurtug, Phys. Rev. D 75, 124021 (2007); V. Faraoni, New Astron. 13, 178 (2008); C. Barrabes and P. A. Hogan, Phys. Rev. D 81, 064024 (2010); D. Bini, A. Geralico, M. Haney, and R. T. Jantzen, 86, 064016 (2012); M. Marklund, P. K. S. Dunsby, and G. Brodin, 62, 101501 (2000); C. G. Tsagas, 72, 123509 (2005); 81, 043501 (2010); H. Sotani, K. D. Kokkotas, P. Laguna, and C. F. Sopuerta, 87, 084018 (2013).
- G. A. Alekseev and J. B. Griffiths, Phys. Rev. Lett. 87, 221101 (2001); Classical Quantum Gravity 21, 5623 (2004); J. B. Griffiths and J. Podolsky, Exact Space-Times in Einstein’s General Relativity (Cambridge University Press, Cambridge, 2009).
- P. Tourrenc, Gen. Relativ. Gravit. 9, 123 (1978); 9, 141 (1978).
- B. F. Schutz, A First Course in General Relativity (Cambridge University Press, Cambridge, 1985).