The Finslerian quantum cosmology

De, S. S.; Rahaman, Farook; Paul, Nupur

doi:10.48550/arxiv.1812.01992

Cited by 2 publications

(5 citation statements)

References 1 publication

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“…For the background spacetime of the universe we have introduced the following Finslerian Structure [5,6]:…”

Section: Gravitational Field Equationsmentioning

confidence: 99%

“…It is to be noted that the background Finslerian spacetime of the universe, that we are considering here is, in fact, a spatially flat FLRW spacetime of scale factor a(t) with Finslerian perturbation as shown in [5,6].…”

Section: Gravitational Field Equationsmentioning

confidence: 99%

“…In section 2, a brief introduction of our cosmological model is given. With the barotropic equation of state, the equation for scale factor has been derived from the gravitational field equations of the Finsler spacetime considered in earlier work [6]. In section 3, we find growth rate and growth index of the density perturbation from the solution obtained for the scale factor.…”

Section: Introductionmentioning

confidence: 99%

“…So far, in these approaches of the linear growth of perturbation, the processes involving cold dark matter, collision matter and scalar field have to be introduced. Recently , we have introduced a Finslerian cosmology [5,6] and here we shall show how this consideration can account for the density perturba-tion without any additional input into the system, thus, making it possible to ascertain the geometrical origin of inhomogeneity and anisotropy. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

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Geometrical Origin of Growth of Matter Perturbations

De¹,

Rahaman²,

Mapdar³

2022

Preprint

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The density perturbation of the universe has been considered in the framework of a Finslerian cosmological model in which the background spacetime of the universe is taken as the spatially flat FLRW spacetime with a Finslerian perturbation. The inhomogeneity in the matter(energy) density arises naturally in this consideration of gravity in the (α, β) -Finsler space for the background spacetime of the universe. The resulting inhomogeneous matter density indicates matter perturbation departing from the uniform density, and it is caused by the Finslerian perturbation in the Riemannian spacetime, thus ascertaining the geometrical origin of the growth of matter perturbation.

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“…For the background spacetime of the universe we have introduced the following Finslerian Structure [5,6]:…”

Section: Gravitational Field Equationsmentioning

confidence: 99%

Section: Gravitational Field Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Geometrical Origin of Growth of Matter Perturbations

De¹,

Rahaman²,

Mapdar³

2022

Preprint

Self Cite

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show abstract

“…This Finslerian structure are introduced earlier in [8] for consideration of Finsler gravity and in [9] for quantum gravity.…”

Section: Finslerian Background Spacetimes Of Universementioning

confidence: 99%

Subatomic particle as the quantum universe

De,

Rahaman,

Mapdar

2020

Preprint

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Wheeler-Dewitt equation for the wave function of the universe appeared long ago in an approach to quantization of gravity. Presently, the universe considered as the microuniverse, very tiny universe compared to the outer universe to which it belongs. This tiny universe is, thus, supposed to be the subatomic particle (elementary particle) in the universe we live in. It is possible here to convert the wave function of this microuniverse satisfying Wheeler-Dewitt equation into the wave function of the quantum (subatomic) particle, which is shown to satisfy Schrödinger equation. The inverse of the length scale indicating smallness of the particle appears in the Schrödinger equation being the mass of the particle. Thus, the subatomic particles are shown here to be the quantum universes.

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The Finslerian quantum cosmology

Cited by 2 publications

References 1 publication

Geometrical Origin of Growth of Matter Perturbations

Geometrical Origin of Growth of Matter Perturbations

Subatomic particle as the quantum universe

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