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arXiv · 2403.13608

Tidal effects based on GUP-induced effective metric

Soon-Tae Hong·Yong-Wan Kim·Young-Jai Park
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Abstract

In this paper, we study tidal forces in the Schwarzschild black hole whose metric includes explicitly a generalized uncertainty principle (GUP) effect. We also investigate interesting features of the geodesic equations and tidal effects dependent on the GUP parameter $\alpha$ related to a minimum length. Then, by solving geodesic deviation equations explicitly with appropriate boundary conditions, we show that $\alpha$ in the effective metric affects both the radial and angular components of the geodesic equation, particularly near the singularities.

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Soon-Tae Hong, Yong-Wan Kim, Young-Jai Park. 2024-03-20. Tidal effects based on GUP-induced effective metric. https://doi.org/10.1088/1572-9494%2Fad51f0

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