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arXiv · 1912.03855

Maximal acceleration in non-commutative space-time and its implications

E. Harikumar·Vishnu Rajagopal
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Abstract

In this paper, we derive the non-commutative corrections to the maximal acceleration of a massive particle. Using the eight-dimensional kappa-deformed phase-space metric, we obtain the kappa-deformed maximal acceleration, valid up to first order in the deformation parameter. We then derive the kappa-deformed geodesic equation and obtain its Newtonian limit and from this obtain a bound on the deformation parameter. After re-expressing the kappa-deformed Schwarzschild metric in terms of maximal acceleration, we analyse the motion of a particle in this space-time, and also study the modifications to Hawking radiation. We also derive the kappa-deformed corrections to maximal acceleration using kappa-deformed generalised uncertainty principle.

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E. Harikumar, Vishnu Rajagopal. 2020-12-22. Maximal acceleration in non-commutative space-time and its implications. https://doi.org/10.1016/j.aop.2020.168332

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