Off-equatorial stable circular orbits for spinning particles

Mukherjee, Sajal; Nayak, K. Rajesh

doi:10.1103/physrevd.98.084023

Cited by 9 publications

(3 citation statements)

References 55 publications

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“…Contrary to non-spinning particles, the work on spinning particles in the curved spacetime is limited and mainly devoted to two topics i.e. the study of inner most stable circular orbits (ISCOs) [38,101,[139][140][141][142][143][144][145][146][147][148][149], and collision of spinning particles [137,[150][151][152][153][154][155][156][157][158][159][160][161][162] besides these spinning particles also appear in the studies [163][164][165][166][167][168][169][170]. As a result, it would be intriguing to learn more about spinning particles in additional BH spacetimes.…”

Section: Jcap08(2021)045mentioning

confidence: 99%

Charged black hole in 4D Einstein-Gauss-Bonnet gravity: particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy

Atamurotov¹,

Shaymatov²,

Sheoran³

et al. 2021

J. Cosmol. Astropart. Phys.

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We study the motion of charged and spinning particles and photons in the 4D charged Einstein-Gauss-Bonnet (EGB) black hole vicinity. We determine the radius of the innermost stable circular orbit (ISCO) for test particles. We show that the combined effect of the Gauss-Bonnet (GB) coupling parameter and black hole charge decreases the ISCO and the radius of the photon sphere. Further, we study the gravitational deflection angle and show that the impact of GB term and black hole charge on it is quite noticeable. We also consider the effect of plasma and find the analytical form of the deflection angle in the case of a uniform and non-uniform plasma. Interestingly we find that the deflection angle becomes larger when uniform plasma is considered in comparison to the case of non-uniform plasma. We also study the center of mass energy (E C.M.) obtained by collision process for non-spinning particles and show that the impact of GB parameter and black hole charge leads to high energy collision. In addition, we also study the E C.M. for the case of spinning particles and show that if the two spinning particles collide near the horizon of 4D charged EGB BH, the E C.M. becomes infinitely high which is in disparity with the non-spinning particles counterpart where E C.M. never grows infinitely. To achieve this, an important role is played by the spinning particle known as the near-critical particle (i.e. a particle with fine-tuned parameters). In order to achieve the unbounded E C.M. from the collision of two spinning particles, the energy per unit mass must be less than unity for a near-critical particle, which means such a particle starts from some intermediate position r > rh and not from infinity.

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Section: Jcap08(2021)045mentioning

confidence: 99%

Charged black hole in 4D Einstein-Gauss-Bonnet gravity: particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy

Atamurotov¹,

Shaymatov²,

Sheoran³

et al. 2021

J. Cosmol. Astropart. Phys.

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“…With the pioneering work by Papapetrou in 1951 [15], the early contributions from Mathisson [14], Ehlers and Rudolph [23] and Dixon [24] are worth to mention. In recent times, there are also significant studies regarding several aspects of spinning particle and their nontrivial features [25][26][27][28][29][30][31][32][33][34][35]. For excellent overview on the subject, we refer our readers Refs.…”

Section: Introductionmentioning

confidence: 99%

Resonant orbits for a spinning particle in Kerr spacetime

Mukherjee¹,

Tripathy²

2019

Preprint

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In the present article, we study the orbital resonance corresponds to an extended object approximated up to the dipole order term in Kerr spacetime. We start with the Mathisson-Papapetrou equations under the linear spin approximation and primarily concentrate on two particular events. First, when the orbits are nearly circular and executing a small oscillation about the equatorial plane and second, a generic trajectory confined on the equatorial plane. While in the first case, all the three fundamental frequencies, namely, radial Ωr, angular Ω θ , azimuthal Ω φ can be commensurate with each others and give rise to the resonance phenomenon, the later is only accompanied with the resonance between Ωr and Ω φ as we set θ = π/2. We provide a detail derivation in locating the prograde resonant orbits in either of these cases and also study the role played by the spin of the black hole. The implications related to spin-spin interactions between the object and black hole are also demonstrated.

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“…We refer our readers to Refs. [10][11][12][13][14][15][16][17][18] for a comprehensive understanding of Mathisson-Papapetrou and Mathisson-Papapetrou-Dixon equations and their applications in gravity.…”

Section: Introductionmentioning

confidence: 99%

Extended bodies moving on geodesic trajectories

Mukherjee,

Lukes-Gerakopoulos,

Nayak

2019

Preprint

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In this article, we study the motion of an extended object in various spacetime geometries consists of the monopole, dipole as well as quadrupole moment within the framework of the general theory of relativity. We focus on a compelling limiting case, in which the acceleration of extended object vanishes and therefore, it becomes indistinguishable from a geodesic trajectory. In this case, both dipole, as well as the quadrupole moment of the extended object, would necessarily interact with the various moments of the central object, resulting in zero acceleration. We show that an object with monopole and dipole moment, namely the spin, can have a limit where the dipole-monopole and dipole-dipole interaction between that particle and the central object respectively vanishes. However, the introduction of quadrupole moment leads to more complicated situations and only the quadrupole-monopole interaction consists of a well-posed vanishing limit, while other interactions such as dipole-quadrupole or quadrupole-quadrupole, in general, remain nonzero. We expand on these scenarios in detail with their possible physical implications.

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Off-equatorial stable circular orbits for spinning particles

Cited by 9 publications

References 55 publications

Charged black hole in 4D Einstein-Gauss-Bonnet gravity: particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy

Charged black hole in 4D Einstein-Gauss-Bonnet gravity: particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy

Resonant orbits for a spinning particle in Kerr spacetime

Extended bodies moving on geodesic trajectories

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