Strong gravitational lensing by Kerr–Newman-NUT-Quintessence black hole

Molla, Niyaz Uddin; Debnath, Ujjal

doi:10.1142/s0217751x21502109

Cited by 7 publications

(1 citation statement)

References 76 publications

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“…The charged and rotating versions of the Kiselev black hole solution have also been reported in the literature [32,33]. The rotating version of the charged Kiselev black hole solution has been further generalized in the presence of the NUT parameter and has been analysed in different context in the literature [34,35]. In the recent years the charged rotating version of the Kiselev black hole with the NUT parameter has further been studied in the Rastall theory of gravity [36].…”

Section: Introductionmentioning

confidence: 99%

Optical Properties of an Axially Symmetric Black Hole in the Rastall Gravity

Narzilloev¹,

Hussain²,

Abdujabbarov³

et al. 2022

Preprint

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This work is devoted to the study of the optical properties of the charged-rotating-NUT-Kiselev (CRNK) black hole in the Rastall theory of gravity. By investigating the motion of photons in the CRNK black hole spacetime in the Rastall gravity we show that the deflection angle of photons due to the gravitational lensing is mostly influenced by the NUT charge, parameter of the equation of state for the quintessence and the quintessential intensity. We observe that the effects of the rest of the spacetime parameters are negligible on the deflection angle. We present the shape of the shadow cast by the CRNK black hole in the Rastall gravity for various values of the spacetime parameters. We demonstrate that spin parameter a of the black hole changes the position and size of the shadow of the black hole very little. While changing the values of the rest of the spacetime parameters can alter the shape and the size of the observed shadow of the black hole significantly. We observe that the radius of the black hole shadow and the deflection angle of photon are bigger for the CRNK black hole in the Rastall gravity, as compared with the case of the Kerr black hole. Lastly, we show how the spacetime parameters can change the observables Rs and δs, being the average radius of the shadow and the distortion parameter that measures the deviation of the shape of the shadow from a perfect circle with radius Rs, respectively. Our results show that in most scenarios, for bigger values of Rs we get smaller values of the parameter δs.

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Section: Introductionmentioning

confidence: 99%

Optical Properties of an Axially Symmetric Black Hole in the Rastall Gravity

Narzilloev¹,

Hussain²,

Abdujabbarov³

et al. 2022

Preprint

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Shadows and strong gravitational lensing by Van der Waals black hole in homogeneous plasma

Molla

Debnath

2023

Annals of Physics

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Probing dark fluids and modified gravity with gravitational lensing

Perivolaropoulos

Antoniou

Papadopoulos

2023

Monthly Notices of the Royal Astronomical Society

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We generalize the Rindler-Ishak (2007) result for the lensing deflection angle in a SdS spacetime, to the case of a general spherically symmetric fluid beyond the cosmological constant. We thus derive an analytic expression to first post-Newtonian order for the lensing deflection angle in a general static spherically symmetric metric of the form $ds^2 = f(r)dt^{2} -\frac{dr^{2}}{f(r)}-r^{2}(d\theta ^2 +\sin ^2 \theta d\phi ^2)$ with $f(r) = 1 - \frac{2m}{r}-\sum _{i} b_i\,\, r_0^{-q_i}\,\, \left( \frac{r_0}{r}\right)^{q_i}$ where r0 is the lensing impact parameter, $b_i\ll r_0^{q_i}$, m is the mass of the lens and qi are real arbitrary constants related to the properties of the fluid that surrounds the lens or to modified gravity. This is a generalization of the well known Kiselev black hole metric. The approximate analytic expression of the deflection angle is verified by an exact numerical derivation and in special cases it reduces to results of previous studies. The density and pressure of the spherically symmetric fluid that induces this metric is derived in terms of the constants bi. The Kiselev case of a Schwarzschild metric perturbed by a general spherically symmetric dark fluid (eg vacuum energy) is studied in some detail and consistency with the special case of Rindler Ishak result is found for the case of a cosmological constant background. Observational data of the Einstein radii from distant clusters of galaxies lead to observational constraints on the constants bi and through them on the density and pressure of dark fluids, field theories or modified gravity theories that could induce this metric.

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Strong gravitational lensing by Kerr–Newman-NUT-Quintessence black hole

Cited by 7 publications

References 76 publications

Optical Properties of an Axially Symmetric Black Hole in the Rastall Gravity

Optical Properties of an Axially Symmetric Black Hole in the Rastall Gravity

Shadows and strong gravitational lensing by Van der Waals black hole in homogeneous plasma

Probing dark fluids and modified gravity with gravitational lensing

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