Analytical solutions in a cosmic string Born–Infeld-dilaton black hole geometry: quasinormal modes and quantization

Сакалли, Иззет; Jusufi, Kimet; Овгун, Али

doi:10.1007/s10714-018-2455-4

Cited by 40 publications

(18 citation statements)

References 121 publications

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“…In Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34] we find applications of the method to the study of a variety of different spacetimes with spherical symmetry, and in [35] the method was modified by Werner in order to allow the study of gravitational lensing in rotating and stationary spacetimes. This new version was applied to a variety of metrics in Refs.…”

Section: Introductionmentioning

confidence: 99%

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

2018

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We apply the Gauss-Bonnet theorem to the study of light rays in a plasma medium in a static and spherically symmetric gravitational field and also to the study of timelike geodesics followed for test massive particles in a spacetime with the same symmetries. The possibility to using the theorem follows from a correspondence between timelike curves followed by light rays in a plasma medium and spatial geodesics in an associated Riemannian optical metric. A similar correspondence follows for massive particles. For some examples and applications, we compute the deflection angle in weak gravitational fields for different plasma density profiles and gravitational fields.PACS numbers:

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Section: Introductionmentioning

confidence: 99%

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

2018

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“…Equation 34is the biconfluent Heun's differential equation [28,75,76] with HðxÞ as Heun's polynomial function. Many authors studied the analytical solutions to the relativistic wave equations in terms of Heun functions (e.g., [77][78][79][80][81][82]).…”

Section: 2mentioning

confidence: 99%

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Ahmed

2020

Advances in High Energy Physics

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In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a space-like dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.

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“…When we take into account the exact limits of spin and symmetries in Eqs. (58) and (59), each component of the spinor satisfies…”

Section: The Analysis Of Both the Spin And The Pseudo-spin Symmetriesmentioning

confidence: 99%

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

et al. 2019

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The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation and solve it in the limit of the spin and the pseudo-spin symmetries. We analyze the presence of cylindrical symmetric scalar potentials which allows us to provide analytic solutions for the resultant field equation. By using an appropriate ansatz, we find that the radial equation is a biconfluent Heun-like differential equation. The solution of this equation provides us with more than one expression for the energy eigenvalues of the oscillator. We investigate these energies and find that there is a quantum condition between them. We study this condition in detail and find that it requires the fixation of one of the physical parameters involved in the problem. Expressions for the energy of the oscillator are obtained for some values of the quantum number n. Some particular cases which lead to known physical systems are also addressed.

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Analytical solutions in a cosmic string Born–Infeld-dilaton black hole geometry: quasinormal modes and quantization

Cited by 40 publications

References 121 publications

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

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