Finsler–Randers Cosmological Models in Modified Gravity Theories

Chaubey, R.; Tiwari, Bankteshwar; Shukla, Anjani Kumar; Kumar, Manoj

doi:10.1007/s40010-018-0534-2

Cited by 8 publications

(9 citation statements)

References 16 publications

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“…We also consider a similar case for a Schwarzschild-De Sitter-Randers metric. This is a different type of metric than the Finsler-Randers one which has been considered in the framework of cosmological study by different authors [4,8,37,39,[52][53][54][55][56]. In these cases, the horizontal part is a Friedmann-Robertson-Walker model.…”

Section: Field Equationsmentioning

confidence: 99%

“…Next we will calculate the terms for (7) and (8). From the definitions (A.29) and (A.30) we see that when g μν has no explicit dependence on y then R μν and R reduce to the classical Ricci tensor and scalar of general relativity.…”

Section: Schwarzschild-randers Spacetimementioning

confidence: 99%

“…Generalized Einstein field equations have been studied in the Finsler, Lagrange, generalized Finsler and Finsler-like spaces, for an osculating gravitational approach in which the second variable y(x) is a tangent/vector field [1][2][3] and in Finsler cosmology [4][5][6][7][8]. Different sets of generalized Einstein field equations were derived for the aforementioned spaces in the framework of a tangent bundle [9][10][11][12][13][14][15][16][17] and for the momentum space on the cotangent bundle [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Schwarzschild-like solutions in Finsler–Randers gravity

et al. 2020

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In this work, we extend for the first time the spherically symmetric Schwarzschild and Schwarzschild–De Sitter solutions with a Finsler–Randers-type perturbation which is generated by a covector $$A_\gamma $$ A γ . This gives a locally anisotropic character to the metric and induces a deviation from the Riemannian models of gravity. A natural framework for this study is the Lorentz tangent bundle of a spacetime manifold. We apply the generalized field equations to the perturbed metric and derive the dynamics for the covector $$A_\gamma $$ A γ . Finally, we find the timelike, spacelike and null paths on the Schwarzschild–Randers spacetime, we solve the timelike ones numerically and we compare them with the classic geodesics of general relativity. The obtained solutions are new and they enrich the corresponding literature.

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Section: Field Equationsmentioning

confidence: 99%

Section: Schwarzschild-randers Spacetimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Schwarzschild-like solutions in Finsler–Randers gravity

et al. 2020

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“…These equations can also be derived in the case of the Finsler-Randers model by making further assumptions [33]. Indicative works in the Finsler-Randers model are [24,[34][35][36][37][38][39][40].…”

Section: Finsler-randers Theory: An Overviewmentioning

confidence: 99%

“…The consideration of such a form of equations gives us the possibility of understanding of possible small anisotropies of the evolution of the universe of the early time up to the late time era. For cosmological applications of the Finsler Randers models see [34][35][36]40,45].…”

Section: Finsler-randers Theory: An Overviewmentioning

confidence: 99%

Dynamics in varying vacuum Finsler–Randers cosmology

et al. 2020

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In the context of Finsler-Randers theory we consider, for the first time, the cosmological scenario of the varying vacuum. In particular, we assume the existence of a cosmological fluid source described by an ideal fluid and the varying vacuum terms. We determine the cosmological history of this model by performing a detailed study on the dynamics of the field equations. We determine the limit of General Relativity, while we find new eras in the cosmological history provided by the geometrodynamical terms provided by the Finsler-Randers theory.

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