Dispersive fields in de Sitter space and event horizon thermodynamics
arXiv:1207.5961 · doi:10.1103/PhysRevD.86.104033
Abstract
When Lorentz invariance is violated at high energy, the laws of black hole thermodynamics are apparently no longer satisfied. To shed light on this observation, we study dispersive fields in de Sitter space. We show that the Bunch-Davies vacuum state restricted to the static patch is no longer thermal, and that the Tolman law is violated. However we also show that, for free fields at least, this vacuum is the only stationary stable state, as if it were in equilibrium. We then present a precise correspondence between dispersive effects found in de Sitter and in black hole metrics. This indicates that the consequences of dispersion on thermodynamical laws could also be similar.
19 pages. Black and White version on Phys.Rev.D server
References in corpus (13)
- Quantum Gravity at a Lifshitz Point
- A Primer for Black Hole Quantum Physics
- Black holes in Einstein-aether and Horava-Lifshitz gravity
- Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
- Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects
- Black/White hole radiation from dispersive theories
- Lorentz violation and perpetual motion
- Detecting a Lorentz-Violating Field in Cosmology
- Hawking radiation of massive modes and undulations
- Two-dimensional gravity with a dynamical aether
- Signatures of trans-Planckian dispersion in inflationary spectra
- Horizon surface gravity as 2d geodesic expansion
- Inflationary Spectra from Lorentz Violating Dissipative Models