Hawking radiation particle spectrum of a Kerr-Newman black hole

Abstract

Charged, rotating Kerr-Newman black holes represent the most general class of asymptotically flat black hole solutions to the Einstein-Maxwell equations of general relativity. Here, we consider a simplified model for the Hawking radiation produced by a Kerr-Newman black hole by utilising a (1+1)-dimensional accelerated boundary correspondence (i.e. a flat spacetime mirror trajectory) in Minkowski spacetime. We derive the particle spectrum and its late-time thermal distribution which reduces to the Kerr, Reissner-Nordström and Schwarzschild cases in the appropriate limits. We also compute the particle spectrum of the extremal Kerr-Newman system and the total energy emitted.

Analog Particle Production Model for General Classes of Taub-NUT Black Holes

“…As was found for the extremal Kerr-Newman analog mirror trajectory, the energy flux (Fig. 7) emitted by the extremal Kerr-Newman Taub-NUT mirror vanishes at late times, v → 0, and reduces to the result derived in [17] as l → 0. The total energy radiated by the mirror is given by…”

“…This behaviour is comparable to the analog mirror trajectories for the Kerr and Kerr-Newman black holes [16,17], and is indicative of late-time thermal behaviour. Next, we consider the particle spectrum of the outgoing modes.…”

“…Fig. 4(a) is remastered from [17], where it was shown that N ωω decays at a faster rate with increasing rotation, in comparison to charge, for Kerr-Newman black holes. In Fig.…”

“…Here, a = J/M is the mass-normalised angular momentum and Q is the charge. Following [16,17], we further restrict our analysis to a plane of constant θ , φ which yields the simplified (1+1)-dimensional metric…”

“…The relativistic trajectory of the mirror, which rapidly changes the boundary conditions of incoming field modes, induces particle production from the quantum vacuum [12,13]. Recently, this model has been applied to the well-known Schwarzschild [14], Reissner-Nordström (RN) [15], Kerr [16], and Kerr-Newman metrics [17], where analytic expressions for the spectra and the late-time thermal emission were derived. We extend upon the aforementioned studies by con-sidering general classes of Taub-NUT black holes, including those with non-zero angular momentum and charge.…”