Particle creation rate for dynamical black holes

Abstract

We present the particle creation probability rate around a general black hole as an outcome of quantum fluctuations. Using the uncertainty principle for these fluctuation, we derive a new ultraviolet frequency cutoff for the radiation spectrum of a dynamical black hole. Using this frequency cutoff, we define the probability creation rate function for such black holes. We consider a dynamical Vaidya model, and calculate the probability creation rate for this case when its horizon is in a slowly evolving phase. Our results show that one can expect the usual Hawking radiation emission process in the case of a dynamical black hole when it has a slowly evolving horizon. Moreover, calculating the probability rate for a dynamical black hole gives a measure of when Hawking radiation can be killed off by an incoming flux of matter or radiation. Our result strictly suggests that we have to revise the Hawking radiation expectation for primordial black holes that have grown substantially since they were created in the early universe. We also infer that this frequency cut off can be a parameter that shows the primordial black hole growth at the emission moment.

10 pages, 1 figure. The paper was rewritten in more clear presentation and one more appendix is added

References in corpus (8)

• Hawking radiation, the Stefan-Boltzmann law, and unitarization
• Minimal conditions for the existence of a Hawking-like flux
• Hawking-like radiation from evolving black holes and compact horizonless objects
• A quantum peek inside the black hole event horizon
• Cosmic Matter Flux May Turn Hawking Radiation Off
• Particle creation from the quantum stress tensor
• On the proximity of black hole horizons: lessons from Vaidya
• Properties of Black Hole Radiation From Tunnelling

Cited by in corpus (7)

• Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Primordial black holes in linear and non-linear regimes
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Point mass Cosmological Black Holes
• Cosmological LTB Black Hole in a Quintom Universe
• Particle production rate for a dynamical system using the path integral approach