$\kappa$--Rindler space

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, $1\mathrm{/}\kappa$ correction to the Hawking thermal spectrum.