Abstract
We extend the non-minimal derivative coupling theory model to dynamical gravity and use it to study the greybody factor and Hawking radiation in the background of the slowly rotating Kerr-Newman black hole. Our results show that both the absorption probability and luminosity of Hawking radiation of the scalar field increase with the coupling. Moreover, we also find that for the weak coupling η < η c , the absorption probability and luminosity of Hawking radiation decrease when the black hole’s Hawking temperature decreases. On the other hand for stronger coupling η > η c , the absorption probability and luminosity of Hawking radiation increase when the black hole’s Hawking temperature decreases. This feature is similar to the Hawking radiation in a d-dimensional static spherically-symmetric black hole surrounded by quintessence [1].
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Ding, C., Liu, C., Jing, J. et al. Extension of non-minimal derivative coupling theory and Hawking radiation in black-hole spacetime. J. High Energ. Phys. 2010, 146 (2010). https://doi.org/10.1007/JHEP11(2010)146
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DOI: https://doi.org/10.1007/JHEP11(2010)146