Probing a self-complete and Generalized-Uncertainty-Principle black hole with precessing and periodic motion

Zhang, Jing; Xie, Yi

doi:10.1007/s10509-022-04046-5

Cited by 18 publications

(7 citation statements)

References 135 publications

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“…Several explicit symplectic integrators are designed for the Hamiltonian (9). Then, one of the algorithms is used to provide some insight into the regular and chaotic dynamics of charged particle orbits in the system (9).…”

Section: Numerical Investigationsmentioning

confidence: 99%

“…Constructing a quantum field theory of gravity is based on the rise of super-gravity and superstring theories. The black hole singularity problem in the general relativistic black hole solutions should be avoided in the study of some theories of gravity like quantum field theory [5][6][7][8][9]. In short, many experimental tests and theoretical studies of strong-field gravity features often require that such a strong gravitational field should not be one described by the standard general relativity but should be a departure from the general relativity.…”

Section: Introductionmentioning

confidence: 99%

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Chaos in a Magnetized Modified Gravity Schwarzschild Spacetime

et al. 2022

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Based on the scalar–tensor–vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified gravity coupling parameter, which corresponds to the modified gravitational constant and the black hole charge. In this sense, the modified gravity parameter acts as not only an enhanced gravitational effect but also a gravitational repulsive force contribution to a test particle moving around the black hole. Because the modified Schwarzschild spacetime is static spherical symmetric, it is integrable. However, the spherical symmetry and the integrability are destroyed when the black hole is immersed in an external asymptotic uniform magnetic field and the particle is charged. Although the magnetized modified Schwarzschild spacetime is nonintegrable and inseparable, it allows for the application of explicit symplectic integrators when its Hamiltonian is split into five explicitly integrable parts. Taking one of the proposed explicit symplectic integrators and the techniques of Poincaré sections and fast Lyapunov indicators as numerical tools, we show that the charged particle can have chaotic motions under some circumstances. Chaos is strengthened with an increase of the modified gravity parameter from the global phase space structures. There are similar results when the magnetic field parameter and the particle energy increase. However, an increase of the particle angular momentum weakens the strength of chaos.

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Section: Numerical Investigationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chaos in a Magnetized Modified Gravity Schwarzschild Spacetime

et al. 2022

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“…The study of timelike geodesics in the spacetime of the charged-Kiselev BH with clouds of strings may be useful in placing constraints on the different spacetime parameters. Some studies have already been conducted in this direction [74,[173][174][175].…”

Section: Discussionmentioning

confidence: 99%

Weak deflection angle and shadow cast by the charged-Kiselev black hole with cloud of strings in plasma*

Atamurotov

Hussain²,

Mustafa³

et al. 2023

Chinese Phys. C

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In this work, the gravitational deflection angle of photon in the weak field limit (or the weak deflection angle) and shadow cast by the electrically charged and spherically symmetric static Kiselev black hole (BH) in the string cloud background are investigated. The influence of the BH charge $Q$, the quintessential parameter $\gamma$ and the string cloud parameter $a$ is studied on the weak deflection angle using the Gauss-Bonnet theorem, on the radius of photon spheres and on the size of the BH shadow in the spacetime geometry of the charged-Kiselev BH in string clouds. Moreover, we study the effects of plasma (uniform and non-uniform) on the weak deflection angle and on the shadow cast by the charged-Kiselev BH surrounded by the clouds of strings. In the presence of uniform/nonuniform plasma medium, increase in the cloud of string parameter $a$, increases the deflection angle $\alpha$. On the other hand decrease in the BH charge $Q$, decreases the deflection angle. Further we observe that an increase of the BH charge $Q$ causes a decrease in the size of the shadow of the BH. We notice that with increase in the values of the parameters $\gamma$ and $a$, the size of the BH shadow also increases and therefore the intensity of the gravitational field around the charged-Kiselev BH in string clouds increases. Thus the gravitational field of the charged-Kiselev BH in string cloud background would be stronger than the field produced by the pure Reissner-Nordstrom BH. Moreover, we use the data released by the Event Horizon Telescope (EHT) collaboration, for the supermassive BHs M87* and Sgr A*, to obtain constraints on the values of the parameters $\gamma$ and $a$.

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“…: V,-vol whirl structure for the periodic motions has not been apparently observed, the periodic motions might offer computational advantages for adiabatic extreme mass-ratio inspirals [109] and the unique information about some properties of the spacetime in the strong gravitational field that is unavailable from the precessing motions. The periodic motions have widely been investigated in Kerr [108], Reissner-Nordström [110] and others black holes [111][112][113][114][115][116][117][118][119][120][121][122][123][124][125][126][127][128]. Particularly, the discovery of some stars around Sgr A* in the present and the near future has made it possible to use their precessing and periodic motions for probing the curved spacetime of one black hole [103,[129][130][131][132][133][134].…”

Section: Introductionmentioning

confidence: 99%

Precessing and periodic orbits around hairy black holes in Horndeski’s Theory

Lin

Deng

2023

Eur. Phys. J. C

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We investigate the dynamics of neutral timelike particles around a hairy black hole in Horndeski’s theory, which is characterized by a coupling parameter with the dimension of length. With deriving the particles’ relativistic periastron precessions, a preliminary bound on the hairy black hole is obtained by using the result of the S2 star’s precession with GRAVITY. It is tighter than the previous result constrained by the shadow size from EHT observations of M87* by about 3–4 orders of magnitude. We also analyse the particles’ periodic motions around the hole in the strong gravitational field. It clearly shows that small variations in the coupling parameter can make the neutral particles’ motions back and forth from the quasi-periodic orbits to the periodic orbits or no bound orbit. Our present work might provide hints for distinguishing the hairy black hole in Horndeski’s theory from the classical hole by using the particles’ dynamics in the strong gravitational field.

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Probing a self-complete and Generalized-Uncertainty-Principle black hole with precessing and periodic motion

Cited by 18 publications

References 135 publications

Chaos in a Magnetized Modified Gravity Schwarzschild Spacetime

Chaos in a Magnetized Modified Gravity Schwarzschild Spacetime

Weak deflection angle and shadow cast by the charged-Kiselev black hole with cloud of strings in plasma*

Precessing and periodic orbits around hairy black holes in Horndeski’s Theory

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