Effect of Spin–torsion Interaction on Raychaudhuri Equation

Wanas, M. I.; Bakry, M. A.

doi:10.1142/s0217751x09046291

Cited by 15 publications

(6 citation statements)

References 16 publications

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“…More concretely, refs. [4,19,27] did not take properly into account the relation between the tensor B αβ and the evolution of the separation vector between infinitesimally close curves of the congruence, assuming that the expression of the tensor B αβ is a priori the same as in the case of null torsion. Few quite specific models for torsion accidentally result anyway in the correct expression: retracing the properties of the intrinsic spin, Refs.…”

Section: B Raychaudhuri Equation For a Congruence Of Time-like Curvesmentioning

confidence: 99%

Raychaudhuri equation in spacetimes with torsion

Luz

Vitagliano

2017

Phys. Rev. D

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Given a spacetime with nonvanishing torsion, we discuss the equation for the evolution of the separation vector between infinitesimally close curves in a congruence. We show that the presence of a torsion field leads, in general, to tangent and orthogonal effects on the congruence; in particular, the presence of a completely generic torsion field contributes to a relative acceleration between test particles. We derive, for the first time in the literature, the Raychaudhuri equation for a congruence of timelike and null curves in a spacetime with the most generic torsion field.Comment: 8 page

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Section: B Raychaudhuri Equation For a Congruence Of Time-like Curvesmentioning

confidence: 99%

Raychaudhuri equation in spacetimes with torsion

Luz

Vitagliano

2017

Phys. Rev. D

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“…Now the rate of convergence/divergence of world-line congruence is governed by the modified Raychaudhuri equation in AP-geometry. In the presence of torsion, the latter reads as (Wanas and Bakry 2009)…”

Section: Big Rip Model With Shearmentioning

confidence: 99%

Torsion and shear effect on a Big Rip model in a gravitational field

Bakry

Eid

Khader

2021

Astrophys Space Sci

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In this paper, we investigate the effects of torsion and shears within the framework of the gravitational field with torsion in early and late cosmology. General relativity and torsion field equations are constructed using absolute parallel geometry. The Big Rip model of the Universe has been presented using a special class of Riemann-Cartan geometry and the law of variation of Hubble's parameter. The model does not depend on the curvature constant. The positive condition of the energy density of the matter is satisfied in this model. This cosmological model shows that the torsion and shear effect is strong at the beginning of the Big Bang and at the end of the universe. Through the examination of precise cases of the parameters and initial conditions, we can show that for suitable ranges of the parameters, the dynamic torsion scalar model can exhibit features similar to those of the currently observed accelerating universe. The relationship between the torsion and shear scalars is investigated, and their impact on the accelerating universe is addressed apart from the idea of dark energy.

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“…The extension of the equation ( 9) to spacetimes with non-vanishing torsion has been previously studied in several works [19,20]. More recently, a thorough analysis of this problem was undertaken in [21].…”

Section: Raychaudhuri Equation For Null Geodesics and Its Extension T...mentioning

confidence: 99%

Light propagation and optical scalars in torsion theories of gravity

Akhshabi

2019

Mod. Phys. Lett. A

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We investigate the propagation of light rays and evolution of optical scalars in gauge theories of gravity where torsion is present. Recently the modified Raychaudhuri equation in the presence of torsion has been derived. We use this result to derive the basic equations of geometric optics for several different interesting solutions of the Poincaré gauge theory of gravity. The results show that the focusing effects for neighboring light rays will be different than general relativity. This in turn has practical consequences in the study of gravitational lensing effects and also determining the angular diameter distance for cosmological objects.

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Effect of Spin–torsion Interaction on Raychaudhuri Equation

Cited by 15 publications

References 16 publications

Raychaudhuri equation in spacetimes with torsion

Raychaudhuri equation in spacetimes with torsion

Torsion and shear effect on a Big Rip model in a gravitational field

Light propagation and optical scalars in torsion theories of gravity

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