Weak Gravitational Lensing from Regular Bardeen Black Holes

Ghaffarnejad, Hossein; Niad, Hassan

doi:10.1007/s10773-015-2787-8

Cited by 29 publications

(21 citation statements)

References 36 publications

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“…Soon after the Eiroa et al have studited Riessner-Nordstrom black hole lensing in strong gravitational region [60]. The black hole gravitational lenses have been widely demonstrated in [61][62][63][64][65][66][67][68][69][70][71][72]. In addition, after the pioneer works by Kim and Cho [79], the gravitational lensing by a negative ArnowittDeser-Misner (ADM) mass was studied in [80][81][82][83][84][85].…”

Section: Introductionmentioning

confidence: 99%

Deflection of light by black holes and massless wormholes in massive gravity

et al. 2018

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Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov, JHEP 0904:100, 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass M and an extra parameter S namely 'scalar charge'. These black hole reduce to the standard Schwarzschild black hole solutions when the scalar charge is zero and the mass is positive. In addition, a parameter λ in the metric characterizes so-called 'hair'. The geodesic equations are used to examine the behavior of the deflection angle in four relevant cases of the parameter λ. Then, by introducing a simple coordinate transformation r λ = S + v 2 into the black hole metric, we were able to find a massless wormhole solution of Einstein-Rosen (ER) (Einstein and Rosen, Phys Rev 43:73, 1935) type with scalar charge S. The programme is then repeated in terms of the Gauss-Bonnet theorem in the weak field limit after a method is established to deal with the angle of deflection using different domains of integration depending on the parameter λ. In particular, we have found new analytical results corresponding to four special cases which generalize the well known deflection angles reported in the literature. Finally, we have established the time delay problem in the spacetime of black holes and wormholes, respectively. a

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Section: Introductionmentioning

confidence: 99%

Deflection of light by black holes and massless wormholes in massive gravity

et al. 2018

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“…Accretion and evaporation of the modified Hayward black hole was studied [31] and its thermodynamics was also discussed [32]. As another important and (possibly) observable aspect, investigation on gravitational lensing by the modified Hayward black hole is still absent in the literature, although the gravitational lensings by other kinds of nonsingular black holes have aroused a lot of concerns [33][34][35][36][37]. By studying its gravitational lensing effects, especially those in the strong gravitational field, we can have a better understanding of the modified Hayward black hole.…”

Section: Introductionmentioning

confidence: 99%

Strong deflection gravitational lensing by a modified Hayward black hole

Zhao

Xie

2017

Eur. Phys. J. C

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A modified Hayward black hole is a nonsingular black hole. It is proposed that it would form when the pressure generated by quantum gravity can stop matter's collapse as the matter reaches the Planck density. Strong deflection gravitational lensing occurring nearby its event horizon might provide some clues of these quantum effects in its central core. We investigate observables of the strong deflection lensing, including angular separations, brightness differences and time delays between its relativistic images, and we estimate their values for the supermassive black hole in the Galactic center. We find that it is possible to distinguish the modified Hayward black hole from a Schwarzschild one, but it demands a very high resolution, beyond current stage.

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“…The GL effect in the Bardeen spacetime has been considered in Refs. [29,[44][45][46] and in the Hayward spacetime in Refs. [30,47], in JNW spacetime in Refs.…”

Section: Discussionmentioning

confidence: 99%

“…2 (b), the contribution from each order of Eqs. (29) are plotted (solid lines), together with the values at the corresponding orders for the Schwarzschild spacetime for comparison (dashed lines). It is seen that the contribution from each order decreases roughly by the same factor as the order increases, suggesting that the summation (28) is convergent for the given range of b.…”

Section: B Deflection In the Hayward Spacetimementioning

confidence: 99%

Perturbative deflection angles of timelike rays

Duan

Huang

et al. 2020

Class. Quantum Grav.

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Geodesics of both lightrays and timelike particles with nonzero mass are deflected in a gravitational field. In this work we apply the perturbative method developed in Ref.[1] to compute the deflection angle of both null and timelike rays in the weak field limit for four spacetimes. We obtained the deflection angles for the Bardeen spacetime to the eleventh order of m/b where m is the ADM mass and b is the impact parameter, and for the Hayward, Janis-Newman-Winicour and Einstein-Born-Infeld spacetimes to the ninth, seventh and eleventh order respectively. The effect of the impact parameter b, velocity v and spacetime parameters on the deflection angle are analyzed in each of the four spacetimes. It is found that in general, the perturbative deflection angle depends on and only on the asymptotic behavior of the metric functions, and in an order-correlated way. Moreover, it is shown that although these deflection angles are calculated in the large b/m limit, their minimal valid b can be as small as a few m's as long as the order is high enough. At these impact parameters, the deflection angle itself is also found large. As velocity decreases, the deflection angle in all spacetime studied increases. For a given b, if the spacetime parameters allows a critical velocity vc, then the perturbative deflection angle will deviate from its true value as v decreases to vc. It is also found that if the variation of spacetime parameters can only change the spacetime qualitatively at small but not large radius, then these spacetime parameter will not cause a qualitative change of the deflection angle, although its value is still quantitatively affected. The application and possible extension of the work are discussed.

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Weak Gravitational Lensing from Regular Bardeen Black Holes

Cited by 29 publications

References 36 publications

Deflection of light by black holes and massless wormholes in massive gravity

Deflection of light by black holes and massless wormholes in massive gravity

Strong deflection gravitational lensing by a modified Hayward black hole

Perturbative deflection angles of timelike rays

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