Wormhole in 5D Kaluza–Klein cosmology

Biswas, Gargi; Modak, B.

doi:10.1142/s0217732317500237

Cited by 4 publications

(1 citation statement)

References 37 publications

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“…Lorentzian wormholes have been studied in the DEGB theory [40][41][42], however viability of an inflation from a wormhole configuration has not been confirmed. In recent works [43][44][45] transition from wormhole configuration to inflationary era is evident by using τ = it. A transition from wormhole solution to inflation is confirmed in [43] with numerical solutions in the DEGB theory with a few power law potentials.…”

Section: Introductionmentioning

confidence: 99%

Wormhole inducing inflation with Einstein Gauss Bonnet dilaton interaction

Biswas,

Dutta,

Modak

2021

Preprint

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We present a few Euclidean wormhole configurations using both the analytic and numerical solutions of the field equations considering Einstein Gauss-Bonnet dilaton interaction in 4-dimensional Robertson Walker Euclidean background. The analytic solutions in some cases show a transition to an exponential expansion with Lorentzian time t using τ = it after passing through an era of oscillating Euclidean wormhole. The numerical solutions of the scale factor a(τ ) show multiple local maxima and minima about a global minimum for inverse power law potentials, while for exponential potential the wormholes have a single minimum. The Hubble parameter and deceleration parameter obtained by curve fit of a(τ ) of the numerical solution show an inflation away from the throat of the wormhole invoking analytic continuation by τ = it. A sharp decay of the potential is also observed.

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Section: Introductionmentioning

confidence: 99%

Wormhole inducing inflation with Einstein Gauss Bonnet dilaton interaction

Biswas,

Dutta,

Modak

2021

Preprint

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Power law expansion of the early universe for a V (a) = kan potential

Freitas

2018

Mod. Phys. Lett. A

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In a recent paper, He, Gao and Cai [Phys. Rev. D 89, 083510 (2014)], found a rigorous proof, based on analytical solutions of the Wheeler–DeWitt (WDWE) equation, of the spontaneous creation of the universe from nothing. The solutions were obtained from a classical potential [Formula: see text], where [Formula: see text] is the scale factor. In this paper, we present a complementary (to that of He, Gao and Cai) solution to the WDWE equation with [Formula: see text]. I have found an exponential expansion of the true vacuum bubble for all scenarios. In all scenarios, we found a power law behavior of the scale factor result which is in agreement with another studies.

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Wormhole inducing inflation in Kaluza–Klein cosmology

2021

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We present wormhole as a solution of Euclidean field equations as well as the solution of Wheeler–DeWitt equation in (4 + 1)-dimensional Kaluza–Klein cosmology minimally coupled with scalar field. A simple analytic solution of the Euclidean field equations enlightens classical forbidden domain in the wormhole configuration under analytic continuation in the Euclidean space by [Formula: see text]. Numerical solutions of the field equations allow wormhole configuration with some standard potentials. The wormhole solution triggers decay of potential and reduction of internal space. Cosmic evolution of a wormhole shows an inflationary era away from the classical forbidden domain introducing aforesaid analytic continuation. Analytic and numerical solution of the Wheeler–DeWitt equation also supports Hawking–Page wormhole boundary conditions.

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Wormhole in 5D Kaluza–Klein cosmology

Cited by 4 publications

References 37 publications

Wormhole inducing inflation with Einstein Gauss Bonnet dilaton interaction

Wormhole inducing inflation with Einstein Gauss Bonnet dilaton interaction

Power law expansion of the early universe for a V (a) = kan potential

Wormhole inducing inflation in Kaluza–Klein cosmology

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