Exact Cosmological Models with Yang–Mills Fields on Lyra Manifold

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

doi:10.1134/s0202289318020135

Cited by 5 publications

(5 citation statements)

References 36 publications

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“…Furthermore, we observe how both the quintessence and the charge parameters affects the light trajectories of massless particles (photons), when they are strongly deflected due to the charged KBH. We will not restrict the investigation to the analytically tractable cases w q = −1/3 and w q = −2/3, as some work did [25,26,28]; rather, we will consider the full range of the quintessence parameter w q and we will rely partly on the work done by one of us [18].…”

Section: Introductionmentioning

confidence: 99%

Strong gravitational lensing by a charged Kiselev black hole

2017

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We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The resulting trajectory equation is solved analytically via perturbation and series methods for a special choice of parameters, and the distance of the closest approach to black hole is calculated. We also derive the lens equation giving the bending angle of light in the curved background. In the strong field approximation, the solution of the lens equation is also obtained for all values of the quintessence parameter w q . For all w q , we show that there are no stable closed null orbits and that corrections to the deflection angle for the Reissner-Nordström black hole when the observer and the source are at large, but finite, distances from the lens do not depend on the charge up to the inverse of the distances squared. A part of the present work, analyzed, however, with a different approach, is the extension of Younas et al. (Phys Rev D 92:084042, 2015) where the uncharged case has been treated.

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Section: Introductionmentioning

confidence: 99%

Strong gravitational lensing by a charged Kiselev black hole

2017

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“…From this figure, it is also seen that the equality T 1 1 = T 2 2 = T 3 3 is not satisfied by the solution (36). But this equality follows from the representation of the energy-momentum tensor of the Yang-Mills field as the EMT of a perfect fluid (14), and it was used in [12] to construct the exact solutions (13) for equation (12). This means that it was the assumption of inequality T 1 1 = T 2 2 = T 3 3 that made it possible to obtain a nontrivial solution of the radial equation.…”

Section: Solution Of the Ym Equation Via Homotopy Perturbation Methodsmentioning

confidence: 99%

“…Some dark energy models are based on the conjecture that a vector field can play the role of the dark energy source. The Yang-Mills fields [7] were also considered as one of the possible sources of gravity in such an aspect [8] including the works of the author (see, for example, [9,10,11,12]). One of the hardly noticeable but curious fact in our study is that our exact solutions for the Yang-Mills fields represent non-zero energy densities and pressures of the Yang-Mills field in the spatially curved Friedmann-Robertson-Walker (FRW) universe (when k = + 1, -1).…”

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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“…( 15) were derived in [26] for the case N = 4. Several solutions in four dimensional space-time were obtained where different possible interpretations for the Lyra displacement vector were given [28][29][30][31][32][33]. Solutions in higer dimensional theory were considered in recent years in different contexts [34,35].…”

Section: Lyra Geometry: Briefly Reviewmentioning

confidence: 99%

Geometric standing wave braneworld and field localization in Lyra manifold

Sousa,

Silva,

Cruz

et al. 2018

Preprint

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In this work, we propose a standing wave braneworld based on Lyra geometry scenario. The Lyra displacement vector provides a modification in Einstein equations which can be interpreted as a noninteracting phantom scalar. From the Einstein's equation in Lyra manifold, a 5D standing wave braneworld is constructed in the presence of a cosmological constant. Unlike other standing wave solutions presented in the literature, no matter field is necessary to obtain these new solutions. We analyse the properties of the scalar, gauge vector and fermionic fields in this model, highlighting the relevance of geometric structure in the process of trapping matter.

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Exact Cosmological Models with Yang–Mills Fields on Lyra Manifold

Cited by 5 publications

References 36 publications

Strong gravitational lensing by a charged Kiselev black hole

Strong gravitational lensing by a charged Kiselev black hole

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

Geometric standing wave braneworld and field localization in Lyra manifold

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