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\(\kappa \)-deformed power spectrum and modified Unruh temperature

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Abstract

We study the power spectrum of the uniformly accelerating scalar field, obeying the \(\kappa \)-deformed Klein–Gordon equation. From this we obtain the \(\kappa \)-deformed corrections to the Unruh temperature, valid up to first order in the \(\kappa \)-deformation parameter a. We also show that in the small acceleration limit, this expression for the Unruh temperature in \(\kappa \)-deformed space-time is in exact agreement with the one derived from the \(\kappa \)-deformed uncertainty relation. Finally, we obtain an upper bound on the deformation parameter a.

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Acknowledgements

The author would like to acknowledge the Vice-Chancellor, Prof. Rajendrakumar Anayath for the support. The author also thank Prof. E. Harikumar for useful suggestions.

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  1. Deenbandhu Chhotu Ram University of Science and Technology Murthal, Sonepat, Haryana, 131039, India

    Vishnu Rajagopal

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  1. Vishnu Rajagopal
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Correspondence to Vishnu Rajagopal.

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Rajagopal, V. \(\kappa \)-deformed power spectrum and modified Unruh temperature. Gen Relativ Gravit 56, 14 (2024). https://doi.org/10.1007/s10714-024-03199-8

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