Emission Of Electromagnetic Field Coupling To Curvature Tensor In The Black Hole Spacetimes

The electromagnetic force and gravity are two kinds of fundamental forces in nature, which implies that the interaction between the electromagnetic and grav-itational fields should be important in physics. In the standard Einstein-Maxwell theory, it has been focused only on the interaction between Maxwell field and the spacetime metric tensor. Thus, it is very important to study other forms of the inter-actions between the electromagnetic and gravitational fields including the coupling between spacetime curvature and Maxwell tensor. In this thesis, we will investigate the effects of the coupling between Weyl tensor or Einstein tensor and electromag-netic fields on the emission of electromagnetic field in the background of black hole spacetimes.In the second chapter, we investigated the effects of the coupling between Weyl tensor and Maxwell field on the emission of the coupled electromagnetic field in the Schwarzschild black hole spacetime. We found the emission of electromagnetic field coupling to Weyl tensor possesses some new features which are differ from those in the standard Einstein’s gravity:the equation of motion, absorption cross section and the strength of Hawking radiation of the coupled electromagnetic field depend not only on the coupling between Weyl tensor and Maxwell field, but also on the parity of the electromagnetic field. With the increase of the coupling parameter, the transmission coefficient, absorption cross section and the strength of Hawking radiation decrease for the electromagnetic field with odd parity, but increase for the electromagnetic field with even one. Moreover, the total absorption cross sections in the high-energy region oscillate around the geometric-optical limit ageo. Similarly, the geometric-optical limit σgeo decreases with the coupling parameter for the elec-tromagnetic field with odd parity, but it increases for the electromagnetic field with even one.In the third chapter, we investigated the effects of the coupling between Ein-stein tensor and Maxwell field on the emission of the coupled electromagnetic field in the Reissner-Nordstrom black hole spacetime. It is shown that the corrected Maxwell equation of the coupled electromagnetic field depends also on the parity of the electromagnetic field and the coupling between Einstein tensor and Maxwell field. With the increase of the coupling parameter, the transmission coefficient, absorption cross section and the luminance of Hawking radiation decrease for the electromagnetic field with odd parity, but increase for the electromagnetic field with even one. Comparing with the our investigations, we find that in the cases of the electromagnetic field coupling with Weyl tensor or Einstein tensor, the emission of the coupled electromagnetic field has some similar new properties in the backgrounds of black hole spacetimes.Finally, we present a brief summary and make some prospects of the emission of the electromagnetic field coupling to curvature tensor in the black hole spacetimes.