Evaporation and Fate of Dilatonic Black Holes

Abstract

We study both spherically symmetric and rotating black holes with dilaton coupling and discuss the evaporation of these black holes via Hawking's quantum radiation and their fates. We find that the dilaton coupling constant $\alpha$ drastically affects the emission rates, and therefore the fates of the black holes. When the charge is conserved, the emission rate from the non-rotating hole is drastically changed beyond $\alpha =1$ (a superstring theory) and diverges in the extreme limit. In the rotating cases, we analyze the slowly rotating black hole solution with arbitrary $\alpha$ as well as three exact solutions, the Kerr--Newman ($\alpha =0$), and Kaluza--Klein ($\alpha =\sqrt{3}$), and Sen black hole ($\alpha =1$ and with axion field). Beyond the same critical value of $\alpha \sim 1$, the emission rate becomes very large near the maximally charged limit, while for $\alpha <1$ it remains finite. The black hole with $\alpha >1$ may evolve into a naked singularity due to its large emission rate. We also consider the effects of a discharge process by investigating superradiance for the non-rotating dilatonic black hole.

33 pages, LaTex, 14 postscript figure files (appended as a uuencoded compressed tar file)

References in corpus (10)

• Rotating Charged Black Hole Solution in Heterotic String Theory
• Singularity-free cosmological solutions of the superstring effective action
• Black Holes as Elementary Particles
• Rotating Dilaton Black Holes
• Low energy effective string cosmology
• Cosmological solutions with dilaton and maximally symmetric space in string theory
• String-Dominated Cosmology
• Spinning a charged dilaton black hole
• Superradiance around Rotating Dilatonic Black Hole
• Superradiance from a Charged Dilaton Black Hole

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