A dark energy model in Lyra manifold

Hova, Hoavo

doi:10.1016/j.geomphys.2012.08.004

Cited by 16 publications

(19 citation statements)

References 116 publications

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“…Recently, in [65], the authors investigate the existence of Lyra's cosmology with interaction of normal matter and DE. In [66], we can witness a DE model in a LM which proves that the expansion paradigm can be illustrated in the absence of a negative pressure energy component. It is further mentioned that DE is naturally of geometrical origin.…”

Section: Introductionmentioning

confidence: 72%

A higher dimensional cosmological model for the search of dark energy source

Singh

2020

Int. J. Geom. Methods Mod. Phys.

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With due consideration of reasonable cosmological assumptions within the limit of the present cosmological scenario, we have analysed a spherically symmetric metric in 5D setting within the framework of Lyra manifold. The model universe is predicted to be a DE model, dominated by vacuum energy. The model represents an oscillating model, each cycle evolving with a big bang and ending at a big crunch, undergoing a series of bounces. The universe is isotropic and undergoes super-exponential expansion. The value of Hubble's parameter is measured to be H = 67.0691 which is very close to H0 = 67.36±0.54kms −1 M pc −1 , the value estimated by the latest Planck 2018 result. A detailed discussion on the cosmological parameters obtained is also presented with graphs.

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Section: Introductionmentioning

confidence: 72%

A higher dimensional cosmological model for the search of dark energy source

Singh

2020

Int. J. Geom. Methods Mod. Phys.

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“…In addition, some exact solutions for the field equations in a Lyra manifold of φ ν = (α, 0, 0, 0), where α is either a constant or a function of t, have also been introduced which do not include any wormhole [68,69]. In fact, there is no study on properties of a static traversable wormhole in the Lyra geometry, and in most cases, physicist have focused on the cosmological features of this theory [62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77].…”

Section: Lyra Manifold and Einstein Field Equationsmentioning

confidence: 99%

“…Using the Lyra generalization of the Riemannian geometry [61], Sen has constructed a modified version for the Einstein theory [62], which attracts a lot of attention to itself [63][64][65][66][67][68][69][70][71][72][73][74][75][76]. Some conformal dynamic traversable wormholes have also been studied in this theory which violate the null and weak energy conditions [77].…”

Section: Introductionmentioning

confidence: 99%

Static traversable wormholes in Lyra manifold

Jahromi

Moradpour

2018

Int. J. Mod. Phys. D

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At first, considering the Einstein framework, we introduce some new static traversable wormholes, and study the effects of a dark energy-like source on them. Thereinafter, a brief review on Einstein field equations in Lyra manifold is presented, and we address some static traversable wormholes in the Lyra manifold which satisfy the energy-conditions. It is also shown that solutions introduced in the Einstein framework may also meet the energy conditions in the Lyra manifold. Finally, we focus on vacuum Lyra manifold and find some traversable asymptotically flat wormholes. In summary, our study shows that it is theoretically possible to find a Lyra displacement vector field in a manner in which traversable wormholes satisfy the energy conditions in a Lyra manifold.Comment: Accepted by IJMP

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“…Combining Einstein's equations in (15), one can derive the following equations of the energy-momentum conservation law…”

Section: (M)mentioning

confidence: 99%

Inhomogeneous cosmology with quasi-vacuum effective equation of state on Lyra manifold

Shchigolev

2016

IJPR

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A class of inhomogeneous Lemaître-Tolman cosmological models is obtained in the context of Lyra's geometry. Cosmological models in Lyra's geometry are studied under the condition of the minimal coupling of matter with the displacement vector field and the varying Λ term. Exact solutions to the model equations are obtained subject to the quasi-vacuum effective equation of state. As a result, the displacement field as well as the cosmological term can be expressed in terms of the energy density of matter. The rate of expansion and the deceleration parameter of the model are also studied.

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A dark energy model in Lyra manifold

Cited by 16 publications

References 116 publications

A higher dimensional cosmological model for the search of dark energy source

A higher dimensional cosmological model for the search of dark energy source

Static traversable wormholes in Lyra manifold

Inhomogeneous cosmology with quasi-vacuum effective equation of state on Lyra manifold

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