$\kappa$-Rindler space

In this paper we construct, and investigate some thermal properties of, the noncommutative 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 rederive 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.