Black holes and Hawking radiation in spacetime and its analogues

Abstract

These notes introduce the fundamentals of black hole geometry, the thermality of the vacuum, and the Hawking effect, in spacetime and its analogues. Stimulated emission of Hawking radiation, the trans-Planckian question, short wavelength dispersion, and white hole radiation in the setting of analogue models are also discussed. No prior knowledge of differential geometry, general relativity, or quantum field theory in curved spacetime is assumed.

31 pages, 9 figures; to appear in the proceedings of the IX SIGRAV School on 'Analogue Gravity', Como (Italy), May 2011, eds. D. Faccio et. al. (Springer)

References in corpus (7)

• The Unruh effect and its applications
• Measurement of stimulated Hawking emission in an analogue system
• Black/White hole radiation from dispersive theories
• Acoustic white holes in flowing atomic Bose-Einstein condensates
• Hawking radiation in dispersive theories, the two regimes
• Horizon surface gravity as 2d geodesic expansion
• Irrotational, two-dimensional Surface waves in fluids

Cited by in corpus (13)

• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• The Many Definitions of a Black Hole
• Undulations from amplified low frequency surface waves
• A note on entanglement edge modes in Chern Simons theory
• Waves on a vortex: rays, rings and resonances
• Thermodynamics of multi-horizon spacetimes
• An exact derivation of the Hawking effect in canonical formulation
• Schrödinger evolution of the Hawking state
• Schrödinger evolution of two-dimensional black holes
• Black holes as Andreev reflecting mirrors
• Remarks on distinguishability of Schwarzschild spacetime and thermal Minkowski spacetime using Resonance Casimir-Polder interaction
• Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
• Rescuing the Unruh Effect in Lorentz Violating Gravity