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Wormhole-Induced cosmic scenario in f(G) gravity with a k-essence field.

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Title: Wormhole-Induced cosmic scenario in f(G) gravity with a k-essence field.
Authors: Dutta, M. K.1 (AUTHOR) mkdbrsnc@gmail.com, Modak, B.2 (AUTHOR) bijan.phy@gmail.com
Source: Modern Physics Letters A. 8/10/2025, Vol. 40 Issue 24, p1-22. 22p.
Subjects: Wormholes (Physics), Einstein-Gauss-Bonnet gravity, Physical cosmology, Energy density, Field theory (Physics), Gauss-Bonnet theorem
Abstract: In this paper, we present some analytic solutions of wormhole in four-dimensional Robertson–Walker Euclidean background with a function f (G) , where G is Gauss–Bonnet curvature and a k-essence field for k = 0. The solutions are obtained assuming an ansatz on f (G) with some additional assumptions on potential of the dilaton field and energy density of Gauss–Bonnet term. The Euclidean wormhole, in one case, asymptotically yields oscillating universe in Lorentzian time. In another solution, stable wormhole evolves through early transient inflationary era and after graceful exit from inflation, it yields a stable radiation dominated era asymptotically. The deceleration parameter, jerk and snap parameters are studied with cosmic time and they support observational data. The function f (G) obtained from the solution is consistent with earlier works. We also have another wormhole configuration, which is accompanied by oscillation of the scale factor in Euclidean time at an intermediate era and yields exponential expansion in the asymptotic domain. The magnitude of potential is found to decay. The violation of the null energy condition can be avoided asymptotically in all cases. [ABSTRACT FROM AUTHOR]
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Abstract:In this paper, we present some analytic solutions of wormhole in four-dimensional Robertson–Walker Euclidean background with a function f (G) , where G is Gauss–Bonnet curvature and a k-essence field for k = 0. The solutions are obtained assuming an ansatz on f (G) with some additional assumptions on potential of the dilaton field and energy density of Gauss–Bonnet term. The Euclidean wormhole, in one case, asymptotically yields oscillating universe in Lorentzian time. In another solution, stable wormhole evolves through early transient inflationary era and after graceful exit from inflation, it yields a stable radiation dominated era asymptotically. The deceleration parameter, jerk and snap parameters are studied with cosmic time and they support observational data. The function f (G) obtained from the solution is consistent with earlier works. We also have another wormhole configuration, which is accompanied by oscillation of the scale factor in Euclidean time at an intermediate era and yields exponential expansion in the asymptotic domain. The magnitude of potential is found to decay. The violation of the null energy condition can be avoided asymptotically in all cases. [ABSTRACT FROM AUTHOR]
ISSN:02177323
DOI:10.1142/S0217732325500841