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The trans-Planckian problem as a guiding principle

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2011-11
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Int School Advanced Studies
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We use the avoidance of the trans-Planckian problem of Hawking radiation as a guiding principle in searching for a compelling scenario for the evaporation of black holes or black-hole-like objects. We argue that there exist only three possible scenarios, depending on whether the classical notion of long-lived horizon is preserved by high-energy physics and on whether the dark and compact astrophysical objects that we observe have long-lived horizons in the first place. Along the way, we find that i) a theory with high-energy superluminal signalling and a long-lived trapping horizon would be extremely unstable in astrophysical terms and that i i) stellar pulsations of objects hovering right outside but extremely close to their gravitational radius can result in a mechanism for Hawking-like emission.
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© Int School Advanced Studies. The authors want to thank Renaud Parentani, Stefano Finazzi, Stefano Liberati, Iacopo Carusotto, Grigory Volovik and Matt Visser for illuminating discussions. Financial support was provided by the Spanish MICINN through the projects FIS2008-06078-C03-01 and FIS2008- 06078-C03-03 and by the Junta de Andalucía through the project FQM219. G.J. is supported by a FECYT postdoctoral mobility contract of the Spanish MEC/MICINN, and also acknowledges the Academy of Finland (Centers of Excellence Programme 2006- 2011, grant 218211) and the EU 7th Framework Programme (FP7/2007-2013, grant 228464 Microkelvin).
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