$\kappa$--Rindler space

Abstract

In this paper we construct, and investigate some thermal properties of, the non-commutative counterpart of Rindler space, which we call $\kappa$--Rindler space. This space is obtained by changing variables in the defining commutators of $\kappa$--Minkowski space. We then re-derive the commutator structure of $\kappa$--Rindler space with the help of an appropriate star product, obtained from the $\kappa$--Minkowski one. Using this star product, following the idea of Padmanabhan, we find the leading order, $1/\kappa$ correction to the Hawking thermal spectrum.

10 pages

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Cited by in corpus (6)

• Bosonic conformal higher--spin fields of any symmetry
• Accelerated horizons and Planck-scale kinematics
• Space-time thermodynamics in momentum dependent geometries
• Centripetal force on Casimir energies in $\kappa$-deformed rotating frame
• Unruh effect using Doppler shift method in DSR framework
• Twisted Rindler space-times