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

The purpose of this article is twofold. First, we extend the results presented in [1] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be applied to describe the deflection angle of light rays in plasma media in stationary spacetimes. Second, by using a correspondence between the motion of light rays in a cold non magnetized plasma and relativistic test massive particles we show that this technique is not only powerful to obtain the leading order behavior of the deflection angle of massive/massless particles in the weak field regime but also to obtain higher order corrections. We particularize it to a Kerr background where we compute the deflection angle for test massive particles and light rays propagating in a non homogeneous cold plasma by including third order corrections in the mass and spin parameters of the black hole.PACS numbers:

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“…where being n the refractive index of the medium given by Eqn. (1) and where the gravitational redshift has already been taken into account,…”

Section: Optical Metric For Stationary Axisymmetric Spacetimes Inmentioning

confidence: 99%

Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem

2019

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“…In this section, we study the effect of plasma medium on the weak gravitational lensing by EMDA BH. The refractive index for the EMDA BH is given as [41]…”

Section: Weak Gravitational Lensing Of Emda Bh In Plasma Mediummentioning

confidence: 99%

Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory

2019

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In this paper, we argue that one can calculate the weak deflection angle of light in the background of Einstein-Maxwell-Dilaton-Axion black hole using the Gauss-Bonnet theorem. To support this, the optical geometry of the black hole with the Gibbons-Werner method are used to obtain the deflection angle of light in the weak field limits. Moreover, we investigate the effect of a plasma medium on deflection of light for a given black hole. Because of dilaton and axion are one of the candidate of the dark matter, it can give us a hint on observation of dark matter which is supported by the black hole. Hence we demonstrate the observational viability via showing the effect of the dark matter on the weak deflection angle of light. 95.30.Sf, 98.62.Sb

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“…By using the Gauss-bonnet theorem GBT, deflection angle of light on the foundation of magnetized BH and impact of non-linear electrodynamic has been found by Javed et al [52,53]. Recently, plasma medium deflects photons shown by Crisnejo and Gallo [54]. By investigating the weak gravitational lensing for hairy BH in the back burner of Einstein-Maxwell theory (EMT) with a non-minimally coupled dilaton and its non-trivial potential, in this connection by virtue of GBT deflection angle of light has been computed with plasma and excluding plasma medium by Javed et al [55].…”

Section: Introductionmentioning

confidence: 95%

Weak gravitational lensing by stringy black holes

et al. 2020

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In this paper, we discuss the weak gravitational lensing in the context of stringy black holes. Initially, we examine the deflection angle of photon by charged stringy black hole. For this desire, we compute the Gaussian optical curvature and implement the Gauss-Bonnet theorem to investigate the deflection angle for spherically balanced spacetime of stringy black hole. We also analyze the influence of plasma medium in the weak gravitational lensing for stringy black hole. Moreover, the graphical impact of impact parameter b , black hole charge Q on deflection angle by charged stringy black hole has been studied in plasma as well as non-plasma medium.

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

Cited by 159 publications

References 84 publications

Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem

Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem

Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory

Weak gravitational lensing by stringy black holes

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