Hawking radiation of charged rotating AdS black holes in conformal gravity for charged massive particles, complex scalar and Dirac particles

Abstract

Extending researches on Hawking radiation to conformal gravity theory, we discuss Hawking radiation of different particles across charged rotating anti-de Sitter black holes in conformal gravity, including charged massive particles, complex scalar and spin $$-1/2$$ Dirac particles. To make the study of rotating black holes’ tunneling radiation get rid of the dependence on dragging coordinate systems, we investigate the radiation without dragging coordinate transformations. The previous geodesic derivation existed some shortcomings. Not only did geodesics of massive and massless particles are derived by using quite different approaches, but also the treatment for massive case was inconsistent with the variation principle of action. Recently, Wu et al. have remedied the shortcomings. In this paper, we introduce the improved treatment in conformal gravity and derive geodesic equations of massive and massless particles in a unified and self-consistent way. Although the result that the black holes’ entropy is not one-quarter of horizon area differs from that in Einstein gravity, the tunneling probability of charged massive particles in conformal gravity is still related to the change of Bekenstein–Hawking entropy.