$\kappa$--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.