Conversion of gravitational and electromagnetic waves without any external background fields

Abstract

Applying a simple harmonic map method to the cylindrically symmetric Einstein-Maxwell system, we obtain exact solutions representing strong nonlinear interaction between gravitational waves and electromagnetic waves in the case without any background field. As an interesting fact, we can show that with adjusted parameters the solutions represent occurrences of large conversion phenomena in the intense region of fields near the cylindrically symmetric axis.

10 pages, 8 figures

References in corpus (4)

• Universal $10^{20}$Hz stochastic gravitational waves from photon spheres of black holes
• Cylindrical gravitational waves: C-energy, super-energy and associated dynamical effects
• Conversion of electromagnetic and gravitational waves by a charged black hole
• Nonlinear interaction between electromagnetic and gravitational waves: an appraisal

Cited by in corpus (1)

• Parametric resonance in abelian and non-abelian gauge fields via space-time oscillations