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

Li, Jing; Chen, Songbai; Jing, Jiliang

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

Cited by 20 publications

(17 citation statements)

References 61 publications

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“…where A j , B j , C j , N j are integration constants. These solutions have been known for a long time and have been repeatedly used in works [2], [8], [10], [11], [12], [18] and [19]. It worth noting lightlike geodesics with δ 1 = 0 deviate in the same way in space of any dimension…”

Section: Radial Geodesicsmentioning

confidence: 99%

“…The so-called regular black holes, despite the absence of a singularity, have also been studied in the context of tidal forces in [14], [15], as well as naked singularities in [16] and [17]. The study of geodesic deviation in the theories of modified gravity was carried out in the works [18] and [19], the first of them considers tidal effects in the theory of holographic massive gravity, the second in theory with the action of Einstein-Gauss-Bonnet. Ref.…”

Section: Introductionmentioning

confidence: 99%

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Tidal properties of D-dimensional Tangherlini black holes

Vandeev¹,

N.²

2022

Preprint

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This paper investigates tidal forces in multidimensional spherically symmetric spacetimes. We consider geodesic deviation equation in Schwarzschild-Tangherlini metric and its electrically charged analog. It was shown that for radial geodesics these equations can be solved explicitly as quadratures in spaces of any dimension. In the case of five, six and seven dimensional spaces, these solutions can be represented in terms of elliptic integrals. For spacetimes of higher dimension, we find the asymptotics of the solution. It was found that in the physical singularity vicinity tidal stretch along the radial direction is the stronger the greater the dimension of space. Whereas the tidal compression in transverse to radial directions, starting from a certain dimension, does not change in the main order. Also in the case of non-radial geodesics, the presence of black hole electric charge does not affect the force of transverse compression in the leading order. For non-radial geodesics with non-zero angular momentum, the local properties of solutions of geodesic deviation equations in the vicinity of a singularity are studied.

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Section: Radial Geodesicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tidal properties of D-dimensional Tangherlini black holes

Vandeev¹,

N.²

2022

Preprint

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“…The tidal effects have been investigated in some other static spacetimes including regular black holes [28,29], Kiselev black holes [30], and naked singularity [31]. Moreover, the effect of Gauss-Bonnet coupling constant on tidal forces and geodesic deviation vector has been studied in four-dimensional Gauss-Bonnet black hole spacetime [32].…”

Section: Introductionmentioning

confidence: 99%

Tidal effects of dark matter halo around a galactic black hole

Liu,

Chen,

Jing

2022

Preprint

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We have investigated the tidal forces and geodesic deviation motion in the spacetime of a black hole in the galaxy with dark matter halo. Our results show that the tidal force and geodesic deviation motion depend on the dark matter halo mass and the typical lengthscale of galaxy. The effect of the typical lengthscale of galaxy on tidal force is opposite to that of dark matter mass. For the radial tidal force, with the increasing mass of dark matter, it increases in the region far from the black hole, but decreases in the region near black hole. For the angular tidal force, its absolute value of angular tidal force monotonously increases with the dark matter halo mass. Especially, the angular tidal force also depends on the particle's energy and the effects of dark matter become more distinct for the test particle with high energy, which is different from those in the usual static black hole spacetimes. We also present the change of geodesic deviation vector with the dark matter halo mass and the typical lengthscale of galaxy under two kinds of initial conditions.

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“…The first work devoted to solving geodesic deviation equation was [8], there the behavior of the geodesic deviation vector in the Schwarzschild metric was obtained. Despite the fact that modern studies of tidal forces are devoted to exotic solutions of the Einstein's equations: tidal effects in regular black holes [9], tidal force in Schwarzschild spacetime in holographic massive gravity [10], deviation vector behavior in 4D-Einstein-Gauss-Bonnet spacetime [11], in this paper we concentrate on solving the problem of tidal forces in the metric of a spherically symmetric spacetime. However unlike articles [12]- [14] we consider non-radial geodesics.…”

Section: Introductionmentioning

confidence: 99%

Deviation of nonradial geodesics in a static spherically symmetric space-time

Vandeev,

Semenova

2022

Preprint

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The article generalizes the description of tidal forces to the case of geodesics with non-zero angular momentum in the metric of static spherically symmetric black holes. We show that the geodesic deviation equation can be diagonalized even with non-radial free motion of a test body in the gravitational field. We present expressions for the spatial components of the tidal force in a spherically symmetric metric. We also solve geodesic deviation equation in the Schwarzschild metric and demonstrate how the presence of angular momentum and its magnitude affect the solution.

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

Cited by 20 publications

References 61 publications

Tidal properties of D-dimensional Tangherlini black holes

Tidal properties of D-dimensional Tangherlini black holes

Tidal effects of dark matter halo around a galactic black hole

Deviation of nonradial geodesics in a static spherically symmetric space-time

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