Orbital dynamics of the gravitational field in Bardeen space-time

Li, En-Kun; Geng, Jin-Ling

doi:10.1007/s10509-014-1866-2

Cited by 7 publications

(2 citation statements)

References 25 publications

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“…Studying the characteristics of the photon geodesics could enlighten the search for regular black hole and give us clue about nonlinear electrodynamics. The solution of photon geodesics for of regular black hole model have been studied by [10], [11], [12], [13], [14]. In this work, we take the effect of nonlinear electrodynamics from [15] into account.…”

Section: Introductionmentioning

confidence: 99%

Null singularity on nonsingular spacetime

Pratama

Ramadhan

2022

J. Phys.: Conf. Ser.

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It is known that when coupled to nonlinear electrodynamics (NLED), Einstein’s equations can have nonsingular black hole (BH) solutions. For such BH the absence of horizon poses no violation of cosmic censorship theorem. In this work we show that the horizonless nonsingular BH charged with NLED, viewed from photon’s perspective, ironically is also responsible for the existence of singularity in its null geodesics. This is due to fact that the effective geometry gives additional conformal factor to the metric. For massive particles, on the other hand, the spacetime is still perfectly regular.

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Section: Introductionmentioning

confidence: 99%

Null singularity on nonsingular spacetime

Pratama

Ramadhan

2022

J. Phys.: Conf. Ser.

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“…In order to explain the structure of geodesics better, the researchers have done a lot of work. Different research methods have been presented, including the effective potential analysis method [38][39][40] and the phase plane method [41][42][43][44]. By analyzing the behavior of effective potential, Juhua Chen et al [38] investigated the geodesics of particles in Horava-Lifshitz space-time [45], and Sheng Zhou et al [39] studied the time-like geodesic structure of the spherically symmetric black hole space-time [46].…”

Section: Introductionmentioning

confidence: 99%

Structure of geodesics in the regular Hayward black hole space-time

Shi

Duan

2018

Gen Relativ Gravit

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The regular Hayward model describes a non-singular black hole space-time. By analyzing the behaviors of effective potential and solving the equation of orbital motion, we investigate the time-like and null geodesics in the regular Hayward black hole space-time. Through detailed analyses of corresponding effective potentials for massive particles and photons, all possible orbits are numerically simulated. The results show that there may exist four orbital types in the time-like geodesics structure: planetary orbits, circular orbits, escape orbits and absorbing orbits. In addition, when ℓ, a convenient encoding of the central energy density 3/8πℓ 2 , is 0.6M , and b is 3.9512M as a specific value of angular momentum, escape orbits exist only under b > 3.9512M . The precession direction is also associated with values of b. With b = 3.70M the bound orbits shift clockwise but counter-clockwise with b = 5.00M in the regular Hayward black hole space-time. We also find that the structure of null geodesics is simpler than that of time-like geodesics.There only exist three kinds of orbits (unstable circle orbits, escape orbits and absorbing orbits).

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Analytical time-like geodesics in modified Hayward black hole space-time

Shi

Duan

2018

Astrophys Space Sci

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The properties of modified Hayward black hole space-time can be investigated through analyzing the particle geodesics. By means of a detailed analysis of the corresponding effective potentials for a massive particle, we find all possible orbits which are allowed by the energy levels. The trajectories of orbits are plotted by solving the equation of orbital motion numerically. We conclude that whether there is an escape orbit is associated with b (angular momentum). The properties of orbital motion are related to b, α (α is associated with the time delay) and β (β is related to 1-loop quantum corrections). There are no escape orbits when b < 4.016M , α = 0.50 and β = 1.00. For fixed α = 0.50 and β = 1.00, if b < 3.493M , there only exist unstable orbits. Comparing with the regular Hayward black hole, we go for a reasonable speculation by mean of the existing calculating results that the introduction of the modified term makes the radius of the innermost circular orbit (ISCO) and the corresponding angular momentum larger.

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Orbital dynamics of the gravitational field in Bardeen space-time

Cited by 7 publications

References 25 publications

Null singularity on nonsingular spacetime

Null singularity on nonsingular spacetime

Structure of geodesics in the regular Hayward black hole space-time

Analytical time-like geodesics in modified Hayward black hole space-time

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