Abstract
We study the Hawking radiation (HR) of scalar and Dirac particles (fermions) emitted from a rotating scalar hair black hole (RSHBH) within the context of three dimensional ($3D$) Einstein gravity using non-minimally coupled scalar field theory. Amalgamating the quantum tunneling approach with the Wentzel--Kramers--Brillouin (WKB) approximation, we obtain the tunneling rates of the outgoing particles across the event horizon. Inserting the resultant tunneling rates into the Boltzmann formula, we then obtain the Hawking temperature ($T_{H}$) of the $3D$ RSHBH.
Highlights
Hawking radiation (HR) can be considered as the quantum tunneling of particles from black holes (BHs) horizons [8,9,10]
Inserting the computed tunneling rates into the Boltzmann formula [36], we prove that the standard TH of the 3D rotating scalar hair black hole (RSHBH) is obtainable for all particle types
We investigate the location of the event horizon of the 3D RSHBH
Summary
HR can be considered as the quantum tunneling of particles from BH horizons [8,9,10]. By particle–antiparticle symmetry, a virtual pair can be created just inside the horizon In this case, the real particle can tunnel inward, while the antiparticle remains inside the BH [11]. BHs are regarded as very simple objects that can be completely characterized by three parameters: mass, charge, and angular momentum Because of their simplicity, Wheeler [1], who named BHs, insisted that “ BHs have no hair.”. We here consider a 3D RSHBH [19,27,28,29,30] as a solution to the Einstein gravity equations with a non-minimally coupled scalar field φ. To investigate the HR of a 3D RSHBH, we obtain the tunneling rate of the outgoing scalar and spinor particles penetrating the event horizon of the 3D RSHBH.
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