Lyapunov stability of motion in Ernst space-time

Bakhan'kov, A. A.

doi:10.1016/0375-9601(89)90344-7

Cited by 3 publications

(4 citation statements)

References 5 publications

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“…(47) the minimum radius for timelike circular orbit is same as null circular motion given in Eq. (29). The above values of energy E and the angular momentum are suitable for a circular orbit hence, the solution of φ is obtained by solving the following:…”

Section: Timelike Geodesics Of Sebh( = 1)mentioning

confidence: 99%

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Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field

Al-Badawi¹

2023

Preprint

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In this paper, we discussed the motion of neutral and charged particles in Schwarzschild black hole immersed in an electromagnetic universe (SEBH). The SEBH represents a mass M coupled to an external electromagnetic field that was derived from the metric of colliding electromagnetic waves with double polarization. Our study examine how the external electromagnetic field affects the trajectory of neutral and charged particles. First, the trajectories of both photon and test particle are studied. Then, the exact solutions for the trajectories are obtained in terms of the Jacobi-elliptic integrals for all possible energy and angular momentum of test particle and photon. We have also discussed the motion of charged particle and obtained the radius of the innermost circular orbit (ISCO). It is especially interesting when the charge sign is positive since this creates a conflict between gravitational (attraction force) and electric (repulsion force). Furthermore, we discuss the Lyapunov exponent and the effective force influencing particles in SEBH spacetime.

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Section: Timelike Geodesics Of Sebh( = 1)mentioning

confidence: 99%

“…The case of orbits around a BH immersed in an external electric field has unfortunately received less attention than its magnetic counterpart. For example, geodesics work has focused on the magnetic case [27][28][29][30][31]. The motion of charged particles in BH immersed in magnetic field was studied in [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field

Al-Badawi¹

2023

Preprint

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“…In the present case where the black hole is immersed in an electric field, it is not possible to cast Eq. (10) in the form of of an effective potential equation. Nevertheless, it is still possible to study the existence of bound and unbound orbits by rearranging to obtain…”

Section: Curves Of Zero Velocitymentioning

confidence: 99%

“…The geodesic motion for null and timelike particles is considered in [7,8,9]. Some later works on this topic include [10,11,12]. The motion of charged particles was also considered in the context of chaos and nonlinear dynamics in [13,14].…”

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confidence: 99%

Motion of charged particles around a magnetized/electrified black hole

Lim

2015

Phys. Rev. D

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Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular orbits in various configurations are considered, as well as their perturbations and stability.We find that the electric field strength must be below a certain charge-dependent critical value for these orbits to be stable. The case of the magnetic Ernst metric contains a limit which reduces to the Melvin magnetic universe. In this case the equations of motion are solved to reveal cycloidlike or trochoidlike motion, similar to those found by Frolov and Shoom around black holes immersed in test magnetic fields. *

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Martinaitis, Marcelijus Teodoras: Das lyrische Werk

Sinnig¹

2020

Kindlers Literatur Lexikon (KLL)

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Lyapunov stability of motion in Ernst space-time

Cited by 3 publications

References 5 publications

Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field

Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field

Motion of charged particles around a magnetized/electrified black hole

Martinaitis, Marcelijus Teodoras: Das lyrische Werk

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