Exact solutions in cosmological inflationary models

Chervon, S. V.; Zhuravlev, V. M.

doi:10.1007/bf02437088

Cited by 10 publications

(13 citation statements)

References 8 publications

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“…As for the latter, one can reconstruct the cosmic history referring to FRW background or by making use of the growth of perturbations on small scales. Given a priori a cosmic history specifying either the equation of state (EoS) or the scale factor a, one can always construct a scalar field potential which would mimic the desired result [13,14,15,16,17,18,19,20]. Similar reconstruction can be carried out in scalar tensor theories.…”

Section: Introductionmentioning

confidence: 99%

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

Akarsu

Kumar

Myrzakulov

et al. 2014

J. Cosmol. Astropart. Phys.

161

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Abstract. In this paper, we consider a simple form of expansion history of Universe referred to as the hybrid expansion law − a product of power-law and exponential type of functions. The ansatz by construction mimics the power-law and de Sitter cosmologies as special cases but also provides an elegant description of the transition from deceleration to cosmic acceleration. We point out the Brans-Dicke realization of the cosmic history under consideration. We construct potentials for quintessence, phantom and tachyon fields, which can give rise to the hybrid expansion law in general relativity. We investigate observational constraints on the model with hybrid expansion law applied to late time acceleration as well as to early Universe a la nucleosynthesis.

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Section: Introductionmentioning

confidence: 99%

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

Akarsu

Kumar

Myrzakulov

et al. 2014

J. Cosmol. Astropart. Phys.

161

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“…This is again a singular horizon: despite the vanishing curvature, the non-analyticity of the metric in terms of r makes its continuation impossible. The geometries (17) with a > 1 and (19) with m > 0 can be called wormholes, but they are asymptotically flat only as r → ∞, whereas on the other side of the throat there is a singular or nonsingular horizon of infinite area.…”

Section: Equations and Geometrymentioning

confidence: 99%

“…A bridge to four-dimensional NSM was built only with inclusion of a coupling to gravity in [17]. NSM as a source of gravity were also considered by G. Ivanov [18] (see also [19]).…”

Section: Introductionmentioning

confidence: 99%

Wormholes supported by chiral fields

2009

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We consider static, spherically symmetric solutions of general relativity with a nonlinear sigma model (NSM) as a source, i.e., a set of scalar fields Φ = (Φ 1 , ..., Φ n ) (so-called chiral fields) parametrizing a target space with a metric h ab (Φ) . For NSM with zero potential V (Φ) , it is shown that the space-time geometry is the same as with a single scalar field but depends on h ab . If the matrix h ab is positive-definite, we obtain the Fisher metric, originally found for a canonical scalar field with positive kinetic energy; otherwise we obtain metrics corresponding to a phantom scalar field, including singular and nonsingular horizons (of infinite area) and wormholes. In particular, the Schwarzschild metric can correspond to a nontrivial chiral field configuration, which in this case has zero stress-energy. Some explicit examples of chiral field configurations are considered. Some qualitative properties of NSM configurations with nonzero potentials are pointed out.

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“…In this work, we opt for the latter approach, obtaining new exact solutions for an inflaton field where the potential is expressed in terms of elliptical functions. The reason behind this choice is the fact that many authors have reported potentials in terms of trigonometric [7][8][9][10] and hyperbolic functions [7][8][9][10][11][12][13][14][15]. Within this context, and keeping in mind that both, trigonometric and hyperbolic functions, are nothing but particular cases of elliptical functions, we seek for a generalization based on functions of this kind.…”

Section: Introductionmentioning

confidence: 99%

A Jacobian elliptic single-field inflation

Villanueva

Gallo

2015

Eur. Phys. J. C

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In the scenario of single-field inflation, this field is described in terms of Jacobian elliptic functions. This approach provides, when constrained to particular cases, analytic solutions already known in the past, generalizing them to a bigger family of analytical solutions. The emergent cosmology is analyzed using the Hamilton-Jacobi approach and then the main results are contrasted with the recent measurements obtained from the Planck 2015 data.

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Exact solutions in cosmological inflationary models

Cited by 10 publications

References 8 publications

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

Wormholes supported by chiral fields

A Jacobian elliptic single-field inflation

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