Essential and inessential features of Hawking radiation

By Matt Visser. 2001

210 citations recorded by the source corpus.

There are numerous derivations of the Hawking effect available in the literature. They emphasise different features of the process, and sometimes make markedly different physical assumptions. This article presents a "minimalist" argument, and strips the derivation of as much excess baggage as possible. All that is really necessary is quantum physics plus a slowly evolving future apparent horizon (not an event horizon). In particular, neither the Einstein equations nor Bekenstein entropy are necessary (nor even useful) in deriving Hawking radiation.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/ce68bc79d0f5086c06c54919812d0d1d13feb478

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In Astronomy and Astrophysics

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Citations in the corpus

Colloquium: Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits (2011, background): “The possibility of generating HR in a condensedmatter system exists because Einstein’s equations are not essential to the formal derivation of HR(7) (Visser, 2003).”
Gravity and the Thermodynamics of Horizons (2003, background): “[The importance of exponential redshift is emphasised by several people including Grove (1986); Hu (1996); Hu and Raval (1996); Koks et al. (1997); Raval et al. (1997); Visser (2003).]”
Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, background): “When the apparent horizon is slowly evolving, it is possible to define a local temperature by considering the analytic continuation of outgoing modes across the apparent horizon [58].”
Analogue Models of and for Gravity (2001, background): “# = 3 2 . (2.30) So we have, rather simply aH = ± c2 √H AH q A′′ H/3. (2.31) Similarly gH = ± c2 √H AH q 3A′′ H/4. (2.32) This implies, at a black hole horizon [future horizon], a Hawking temperature [5, 7, 17] k BTH = ¯hg H 2πcH = ¯h cH 2π √ AH s 3A′′ H 4 . (2.33) 9 Ignoring the issue of gray-body ”
Black holes in general relativity (2009, background): “This is one of those elementary and utterly important results that has been repeatedly forgotten, and repeatedly rediscovered, over the last 30 years [35].”
Gravity and the thermodynamics of horizons (2005, background): “nckian power spectrum given by Eq. (24). This result lies at the foundation of associating temperature with horizons. [The importance of exponential redshift is emphasised by several people including [31,32,33,34,35,36].] The Planck spectrum in Eq. (24) is in terms of the frequency and βhas the (cor”
Analogue Gravity (2005, background): “Within standard field theory, a minimal requirement for having Hawking radiation is the existence in the background configuration of an apparent horizon [394].”