Tidal effects based on GUP-induced effective metric
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916268795232256 |
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| author | Hong, Soon-Tae Kim, Yong-Wan Park, Young-Jai |
| author_facet | Hong, Soon-Tae Kim, Yong-Wan Park, Young-Jai |
| contents | 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 $α$ related to a minimum length. Then, by solving 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_13608 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tidal effects based on GUP-induced effective metric Hong, Soon-Tae Kim, Yong-Wan Park, Young-Jai General Relativity and Quantum Cosmology 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 $α$ related to a minimum length. Then, by solving 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. |
| title | Tidal effects based on GUP-induced effective metric |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.13608 |