Coherent States for Black Holes

Abstract

We determine coherent states peaked at classical space-time of the Schwarzschild black hole in the frame-work of canonical quantisation of general relativity. The information about the horizon is naturally encoded in the phase space variables, and the perturbative quantum fluctuations around the classical geometry depend on the distance from the horizon. For small black holes, space near the vicinity of the singularity appears discrete with the singular point excluded from the spectrum.

48 pages, 18+1 figures, some modifications, references added

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• Semiclassical quantisation of space-times with apparent horizons
• Continuous area spectrum in regular black hole
• Coherent states for FLRW space-times in loop quantum gravity
• Ambiguity of black hole entropy in loop quantum gravity
• Twisted soft photon hair implants on Black Holes
• Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
• Quantum Gravity Effects on Unstable Orbits in Schwarzschild Space-time
• Aspects of Quantum Gravity Phenomenology and Astrophysics
• Semiclassical Horizons
• Statistical analysis of entropy correction from topological defects in Loop Black Holes