Gravitational lensing and ghost images in the regular Bardeen no-horizon spacetimes

Schee, Jan; Stuchlík, Zdeněk

doi:10.1088/1475-7516/2015/06/048

Cited by 87 publications

(78 citation statements)

References 62 publications

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“…In the regular Bardeen and ABG spacetimes the metric is de Sitter like at the central region [31], just in the spirit of the original ideas on the nonsingular black hole spacetimes presented in [48,49]. In the no-horizon spacetimes this effect has an extraordinary influence on the character of null geodesics and related optical phenomena [32].…”

Section: Introductionmentioning

confidence: 91%

“…Rotating regular black hole solutions have been introduced in [19][20][21][22][23][24]. Similarly to the Kerr or Reissner-Nordström solutions of the standard general relativity that describe both black holes and naked singularities, the regular solutions describe both the black hole and no-horizon spacetimes demonstrating strong gravity effects [25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

2017

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We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled to general relativity that for special values of the spacetime parameters reduce to the Bardeen and Hayward spacetimes. We show that the weak and strong energy conditions are violated inside the Cauchy horizons of these generic rotating black holes. We give the boundary between the rotating black hole and no-horizon spacetimes and determine the black hole horizons and the boundary of the ergosphere. We introduce the separated Carter equations for the geodesic motion in these rotating spacetimes. For the most interesting new class of the regular spacetimes, corresponding for magnetic charges to the Maxwell field in the weak field limit of the nonlinear electrodynamics, we determine the structure of the circular geodesics and discuss their properties. We study the epicyclic motion of a neutral particle moving along the stable circular orbits around the "Maxwellian" rotating regular black holes. We show that epicyclic frequencies measured by the distant observers and related to the oscillatory motion of the neutral test particle along the stable circular orbits around the rotating singular and regular Maxwellian black holes are always smaller than ones in the Kerr spacetime.

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Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

2017

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“…The deflection of light rays and gravitational lensing in regular Bardeen spacetime was also studied [16]. The ghost images of Keplerian discs, generated by photons with low impact parameters for a regular Bardeen black hole was also discussed [16].…”

Section: Introductionmentioning

confidence: 99%

Horizon structure of rotating Bardeen black hole and particle acceleration

Ghosh

Amir

2015

Eur. Phys. J. C

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We investigate the horizon structure and ergosphere in a rotating Bardeen regular black hole, which has an additional parameter (g) due to the magnetic charge, apart from the mass (M) and the rotation parameter (a). Interestingly, for each value of the parameter g, there exists a critical rotation parameter (a = a E ), which corresponds to an extremal black hole with degenerate horizons, while for a < a E it describes a non-extremal black hole with two horizons, and no black hole for a > a E . We find that the extremal value a E is also influenced by the parameter g, and so is the ergosphere. While the value of a E remarkably decreases when compared with the Kerr black hole, the ergosphere becomes thicker with the increase in g. We also study the collision of two equal mass particles near the horizon of this black hole, and explicitly show the effect of the parameter g. The center-of-mass energy (E CM ) not only depend on the rotation parameter a, but also on the parameter g. It is demonstrated that the E CM could be arbitrarily high in the extremal cases when one of the colliding particles has a critical angular momentum, thereby suggesting that the rotating Bardeen regular black hole can act as a particle accelerator.

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“…It means, that in this case there exist more then one primary image of the source at the radial coordinate r e . We call the additional primary images "ghosts" as they appear in the region of the observer sky that is empty in the black hole spacetimes 5 . We illustrate the existence of one and two ghosts in plots on Figs.…”

Section: Ghost Imagesmentioning

confidence: 99%

Ghost images in Bardeen and ABG spacetimes

Schee¹,

Stuchlík²

2017

The Fourteenth Marcel Grossmann Meeting

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We present our study of bending of null geodesics in the regular spacetimes, particularly in Bardeen and Ayon-Beato-Garcia (ABG) no-horizon spacetimes. We show that thanks to "flatness" of these spacetimes in the central region there exist interesting optical phenomena related to photons with small impact parameters traveling through such gravitational field . There exist a critical impact parameter which gives maximal deflection of light in the Bardeen and ABG no-horizon spacetimes. We discuss "ghost" direct and indirect images of Keplerian discs which are generated by photons with small impact parameters and to the classical scattering cross section in such regular but strongly curved spacetimes.Keywords: Regular spacetimes; null geodesics; ghost images. Geodesics in Bardeen and ABG spacetimesBardeen and ABG regular spacetimes are static, spherically symmetric solutions of the Einstein equations coupled with non-linear electrodynamics. The spacetime interval reads 1-3where the lapse factor f (r) is given by the relations• ABGThe spacetime parameter g represents a magnetic monopole in the Bardeen case 2 and an electric charge associated with non-linear electrodynamics in the ABG case 1 . There is a critical value of this parameter dividing the Bardeen (ABG) solution into two different groups: black holes (g ≤ g c ) and no-horizon spacetimes (g > g c ). From the point of view of photon orbits the no-horizon spacetimes are divided into those with photon circular orbits (g < g ph ) and without the photon orbits (g > g ph ).For the purpose of null geodesics study we constrain ourselves to equatorial plane. Considering photons traveling from infinity to turning point r t and back to

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Gravitational lensing and ghost images in the regular Bardeen no-horizon spacetimes

Cited by 87 publications

References 62 publications

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

Horizon structure of rotating Bardeen black hole and particle acceleration

Ghost images in Bardeen and ABG spacetimes

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