Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method

Shchigolev, V. K.; Bezbatko, D. N.

doi:10.1007/s10714-019-2521-6

Cited by 21 publications

(21 citation statements)

References 37 publications

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“…The two most significant phenomenon associated with the near horizon geometry of supermassive black holes correspond to strong gravitational lensing and structure of accretion disc. While, the strong lensing will become an observable only a few years later, the spectrum of the accretion disc around black holes can be easily extracted from various X-ray telescopes as well as Very Long Baseline Interferometers (in short VLBI) to a good accuracy and hence can be used to find out the possible presence of alternative gravity theories [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73] (see also [74]). We have already discussed the strong gravitational lensing in alternative gravity theories in an earlier work [75].…”

Section: Introductionmentioning

confidence: 99%

Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions

Banerjee¹,

Chakraborty²,

SenGupta³

2017

Phys. Rev. D

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Continuum spectrum from black hole accretion disc holds enormous information regarding the strong gravity regime around the black hole and hence about the nature of gravitational interaction in extreme situations. Since in such strong gravity regime the dynamics of gravity should be modified from the Einstein-Hilbert one, its effect should be imprinted on the continuum spectrum originating from the black hole accretion. To explore the effects of these alternative theories on the black hole continuum spectrum in an explicit manner, we have discussed three alternative gravitational models having their origin in three distinct paradigms -(a) higher dimensions, (b) higher curvature gravity and (c) generalised Horndeski theories. All of them can have signatures sculptured on the black hole continuum spectrum, distinct from the standard general relativistic scenario. Interestingly all these models exhibit black hole solutions with tidal charge parameter which in these alternative gravity scenarios can become negative, in sharp contrast with the Reissner-Nordström black hole. Using the observational data of optical luminosity for eighty Palomer Green quasars we have illustrated that the difference between the theoretical estimates and the observational results gets minimized for negative values of the tidal charge parameter. As a quantitative estimate of this result we concentrate on several error estimators, including reduced χ 2 , Nash-Sutcliffe efficiency, index of agreement etc. Remarkably, all of them indicates a negative value of the tidal charge parameter, signaling the possibility of higher dimensions as well as scalar charge at play in those high gravity regimes.

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Section: Introductionmentioning

confidence: 99%

Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions

Banerjee¹,

Chakraborty²,

SenGupta³

2017

Phys. Rev. D

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“…Previously, some authors considered the deflection of light in the weak field limit in this spacetime only for specific values of ω. Malakolkalami and K. Ghaderi [34], Fernando [35] and Younas et al [36] consid-ered only the special case of ω = −2/3. Shchigolev and Bezbatko considered the case ω = −1/3 and ω = −2/3 using the homotopy-perturbation method [37]. He and Zhang considered the deflection using a post-Newtonian and effective reflective index approach [38].…”

Section: Introductionmentioning

confidence: 99%

Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit

Liu¹,

Liang²,

Jia³

2022

Preprint

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In this work we study the deflection and gravitational lensing of null and timelike signals in the Kiselev spacetime in the weak field limit, to investigate the effects of the equation of state parameter ω and the matter amount parameter α. In doing this, we extend a perturbative method previously developed for asymptotically flat spacetimes whose metric functions have integer-power asymptotic expansions to the case that may or may not be asymptotically flat but with non-integer power expansions. It is found that in the asymptotically flat case (−1/3 < ω < 0) the deflection angles are expressable as quasi-power series of the dimensionless quantities M/b, b/r s,d and α/M 1+3ω where M, b, r s,d are respectively the lens mass, impact parameter and source/detector radius. A similar series exist for the non-asymptotically flat case of (−1 < ω < −1/3), but with the closest radius r0 replacing b. In the asymptotically flat (or non-flat) case, the increase of α or decrease of ω will increase (or increase) the deflection angle. Since the obtained deflection angles naturally take into account the finite distance effect of the source and the detector, we can establish an exact gravitational lensing equation, from which the apparent angles of the images and their magnifications are solved. It is found that generally for asymptotically flat case, increasing α or decreasing ω will increase the apparent angles of the images. While for non-asymptotically flat case, increasing α or ω will both lead to smaller apparent angles.

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“…Recently we applied this method for analytical computations in the field of cosmology and astrophysics (see, e.g. [16] - [19]. It can be also mentioned that applications of HPM can be found in the field of astrophysics in different contexts that creates a new research field [20,21,22].…”

Section: Introductionmentioning

confidence: 99%

An approximate solution of the Yang - Mills equation on a spatially flat FRW cosmological background

Shchigolev

2019

IJPR

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In this paper, an approximate solution for the Yang - Mills equation in a spatially flat Friedmann-Robertson-Walker universe is obtained. For this purpose, the well known method of solution of non-linear differential equations is used, viz. the homotopy perturbations method. This method has been developed as effective technique for solving different non-linear problems. Here, this method allowed us to obtain approximate solution for the essentially non-linear equation for the SO3 Yang-Mills fields on the curved space-time background of the spatially flat Friedmann-Robertson-Walker universe.

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Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method

Cited by 21 publications

References 37 publications

Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions

Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions

Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit

An approximate solution of the Yang - Mills equation on a spatially flat FRW cosmological background

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