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Tidal effects in 4D Einstein–Gauss–Bonnet black hole spacetime

Jing LiDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of ChinaSongbai ChenCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, People’s Republic of ChinaJiliang JingCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, People’s Republic of China

2021en

ABI

Annotatsiya

Abstract We have investigated tidal forces and geodesic deviation motion in the 4D-Einstein–Gauss–Bonnet spacetime. Our results show that tidal force and geodesic deviation motion depend sharply on the sign of Gauss–Bonnet coupling constant. Comparing with Schwarzschild spacetime, the strength of tidal force becomes stronger for the negative Gauss–Bonnet coupling constant, but is weaker for the positive one. Moreover, tidal force behaves like those in the Schwarzschild spacetime as the coupling constant is negative, and like those in Reissner–Nordström black hole as the constant is positive. We also present the change of geodesic deviation vector with Gauss–Bonnet coupling constant under two kinds of initial conditions.

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DOI: 10.1140/epjc/s10052-021-09400-5

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