Fermionic greybody factors in dilaton black holes

Abstract

In this paper the question of emission of fermions in the process of dilaton black hole evolution and its characters for different dilaton coupling constants $\alpha$ is studied. The main quantity of interest, the greybody factors are calculated both numerically and in analytical approximation. The dependence of rates of evaporation and behaviour on the dilaton coupling constant is analyzed. Having calculated the greybody factors we are able to address the question of the final fate of the dilaton black hole. For that we also need to make dynamical treatment of the solution by considering the backreaction which will show a crucial effect on the final result. We find a transition line in $(Q/M,\alpha )$ plane that separates the two regimes for the fate of the black hole, decay regime and extremal regime. In the decay regime the black hole completely evaporates, while in the extremal regime the black hole approaches the extremal limit by radiation and becomes stable.

40+1 pages, 11 figures, 3 tables. Discussions improved. Version published in Classical and Quantum Gravity

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• Charged Particle Production Rate from Cosmic Censorship in Dilaton Black Hole Spacetimes
• Greybody Radiation of scalar and Dirac perturbations of NUT Black Holes
• Quantum fields in the background spacetime of a loop quantum gravity black hole
• The Dirac and Klein-Gordon equations and Greybody Radiation for the Regular Hayward Black Hole
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• Firewall black holes and echoes from an action principle
• Correction to black hole radiation due to pair annihilation
• Black holes and their horizons in semiclassical and modified theories of gravity
• The Dirac oscillator in the curved spacetime of a cloud of strings