Moving mirrors and black hole evaporation in non-commutative space-times

Abstract

We study the evaporation of black holes in non-commutative space-times. We do this by calculating the correction to the detector's response function for a moving mirror in terms of the noncommutativity parameter $\Theta$ and then extracting the number density as modified by this parameter. We find that allowing space and time to be non-commutative increases the decay rate of a black hole.

arXiv comment7 pages, 1 figure

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• Boundaries and the Casimir effect in non-commutative space-time
• Minimal Scales from an Extended Hilbert Space
• Minimum length effects in black hole physics
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• The three-dimensional noncommutative Gross-Neveu model
• Quantum gravitational corrections to the stress-energy tensor around the rotating BTZ black hole