Accelerated horizons and Planck-scale kinematics

Abstract

We extend the concept of accelerated horizons to the framework of deformed relativistic kinematics at the Planck scale. We show that the non-trivial effects due to symmetry deformation manifest in a finite blueshift for field modes as measured by a Rindler observer approaching the horizon. We investigate whether, at a field theoretic level, this effect could manifest in the possibility of a finite horizon contribution to the entropy, a sort of covariant brick-wall. In the specific model of symmetry deformation considered it will turn out that a non-diverging density of modes close to the horizon can be achieved only by introducing a momentum space measure which violates Lorentz invariance.

10 pages, no figures. V2: typos corrected and references added. V3: References updated and expanded. Typos corrected. Added calculations of deformed entropy and its first order corrections in Section 5. Matches published version

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Cited by in corpus (4)

• The Momentum Spaces of $\kappa$-Minkowski noncommutative spacetime
• $\kappa$-deformed phase spaces, Jordanian twists, Lorentz-Weyl algebra and dispersion relations
• Horizon temperature on the real line
• Space-time thermodynamics in momentum dependent geometries