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We study one of the interesting properties of the electromagnetic wavepropagation in the curved Schwarzschild background spacetime in the frameworkof general relativity (GR). The electromagnetic wave equation has been derivedfrom vacuum general relativistic Maxwell's equations. It is shown that thesolutions for the electromagnetic field can be expanded in the sphericalharmonic functions and all components of the electromagnetic fields can beexpressed in terms of two radial profile functions. These radial profilefunctions can be expressed in terms of the confluent Heun function. Thecalculated behaviour of the electric and magnetic susceptibilities near theevent horizon appears to be similar to the susceptibilities of multiferroicmaterials near phase transition. The Curie temperature of this phase transitionappears to coincide with the Hawking temperature.

Curved spacetime as a dispersive multiferroic medium for an  electromagnetic wave: polarization and magnetization vectors in the  Schwarzschild spacetime