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Tidal effects based on a GUP-induced effective metric

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

generalized uncertainty principlegeodesic deviation equationeffective metric

Soon-Tae Hong、Yong-Wan Kim、Young-Jai Park

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Center for Quantum Spacetime and Department of Physics,Sogang University,Seoul 04107,Republic of Korea

Department of Physics and Research Institute of Physics and Chemistry,Jeonbuk National University,Jeonju 54896,Republic of Korea

Department of Physics,Sogang University,Seoul 04107,Republic of Korea

2024

10.1088/1572-9494/ad51f0

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子：0.333
ISSN：0253-6102
年,卷(期)：2024.76(9)