
TL;DR
This paper constructs a non-commutative version of Rindler space called $appa$--Rindler space, analyzes its thermal properties, and derives leading order quantum corrections to Hawking radiation.
Contribution
It introduces the $appa$--Rindler space as a non-commutative counterpart of Rindler space and computes quantum corrections to Hawking radiation using star product techniques.
Findings
Derived the commutator structure of $appa$--Rindler space.
Calculated the leading order $1/ppa$ correction to Hawking spectrum.
Established a framework for studying thermal properties in non-commutative spacetime.
Abstract
In this paper we construct, and investigate some thermal properties of, the non-commutative counterpart of Rindler space, which we call --Rindler space. This space is obtained by changing variables in the defining commutators of --Minkowski space. We then re-derive the commutator structure of --Rindler space with the help of an appropriate star product, obtained from the --Minkowski one. Using this star product, following the idea of Padmanabhan, we find the leading order, correction to the Hawking thermal spectrum.
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