Entropic force and bouncing behaviour in $κ$-Minkowski space-time

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Hauptverfasser: Rajagopal, Vishnu, Wu, Puxun
Format: Preprint
Veröffentlicht: 2025
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author Rajagopal, Vishnu
Wu, Puxun
author_facet Rajagopal, Vishnu
Wu, Puxun
contents We generalise the entropic force description of gravity into $κ$-Minkowski space-time and derive the $κ$-deformed corrections to the Newton's gravitational force. Using this we show the appearance of logarithmic correction as the first order $κ$-deformed correction term to Bekenstein-Hawking entropy. Further we also derive the $κ$-deformed Friedmann equations and study the evolution of scale factor in $κ$-deformed space-time. Finally we show that the $κ$-deformation parameter avoids the initial singularity in early universe by providing a bounce behaviour for the case of spatially flat and closed universe.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15831
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Entropic force and bouncing behaviour in $κ$-Minkowski space-time
Rajagopal, Vishnu
Wu, Puxun
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We generalise the entropic force description of gravity into $κ$-Minkowski space-time and derive the $κ$-deformed corrections to the Newton's gravitational force. Using this we show the appearance of logarithmic correction as the first order $κ$-deformed correction term to Bekenstein-Hawking entropy. Further we also derive the $κ$-deformed Friedmann equations and study the evolution of scale factor in $κ$-deformed space-time. Finally we show that the $κ$-deformation parameter avoids the initial singularity in early universe by providing a bounce behaviour for the case of spatially flat and closed universe.
title Entropic force and bouncing behaviour in $κ$-Minkowski space-time
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.15831