Motion of charged particle in Reissner–Nordström spacetime: a Jacobi-metric approach

Das, Praloy; Sk, Ripon; Ghosh, Subir

doi:10.1140/epjc/s10052-017-5295-6

Cited by 39 publications

(24 citation statements)

References 31 publications

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“…In the following subsection we show the power of this technique by computing the deflection angle of relativistic charges particles in a Reissner-Nordstöm spacetime keeping terms of higher order than in (170). For a detailed study of the Jacobi metric for this particular situation where a more general kind of orbit are discussed we refer to the recent work of Das, Sk and Ghosh [68].…”

Section: Correspondence Between the Spatial Motion Of Photons In Amentioning

confidence: 99%

Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

Crisnejo¹,

Gallo

Villanueva

2019

Phys. Rev. D

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In this work we extend the approach used in [Emanuel Gallo and Osvaldo M. Moreschi, Phys. Rev. D 83, 12 083007 (2011)] to the study of weak gravitational lensing in a plasma medium. First, we present expressions for the deflection angle and optical scalars in terms of the components of the energy-momentum tensor for spherically symmetric lenses surrounded by a cold nonmagnetized plasma. Second, we show that the same expressions can be deduced using the Gauss-Bonnet theorem. Finally, we establish a correspondence between the spatial orbits of photons in a nonhomogeneous plasma and the nongeodesic curves followed by test massive particles whose dynamics also depend on an external central field. As an application, we use the Gauss-Bonnet theorem to compute the deflection angle of the nongeodesic trajectories followed by relativistic test massive charged particles in a Reissner-Nordström spacetime.PACS numbers:

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Section: Correspondence Between the Spatial Motion Of Photons In Amentioning

confidence: 99%

Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

Crisnejo¹,

Gallo

Villanueva

2019

Phys. Rev. D

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“…In [22], the Jacobi metric of the Reissner-Nördstrom spacetime was given. Here, we shall turn our attention to another black-hole spacetime known as the rotating (Kerr) black hole.…”

Section: The Kerr Metricmentioning

confidence: 99%

Jacobi-Maupertuis-Eisenhart metric and geodesic flows

Chanda

Gibbons

Guha

2017

Journal of Mathematical Physics

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“…In this section, we want to find a unique description for the Reissner-Nordström metric and the Kerr-Newman metric. The Reissner-Nordström metric [12] reads…”

Section: Mirage Horizon Of the Entangled Particle-antiparticlementioning

confidence: 99%

Entangled Particles Spinning on the Black Hole Horizon

Bousder¹

2020

Preprint

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In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman metric. We construct a specifific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordstr¨om horizons r±, are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.

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Motion of charged particle in Reissner–Nordström spacetime: a Jacobi-metric approach

Cited by 39 publications

References 31 publications

Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

Jacobi-Maupertuis-Eisenhart metric and geodesic flows

Entangled Particles Spinning on the Black Hole Horizon

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