Exponential-potential scalar field universes. I. Bianchi type I Models

Aguirregabiria, J. M.; Feinstein, A.; Ibáñez, Jesús María Salinas

doi:10.1103/physrevd.48.4662

Cited by 54 publications

(69 citation statements)

References 13 publications

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“…The point P S , which exists only for k 2 < 6, represents the FRW power-law model [11,17] and is inflationary for k 2 < 2 (q = 1 2 k 2 − 2 ). Although these three points exists for anyδ, the interaction term does affect the stability of these solutions, as is evident from the eigenvalues in (14). In particular, for k 2 < 3γ the point P S can become a saddle point ifδ…”

Section: Comments On Arbitraryδmentioning

confidence: 97%

Interactions in scalar field cosmology

2000

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We investigate spatially flat isotropic cosmological models which contain a scalar field with an exponential potential and a perfect fluid with a linear equation of state. We include an interaction term, through which the energy of the scalar field is transferred to the matter fields, consistent with a term that arises from scalar-tensor theory under a conformal transformation and field redefinition. The governing ordinary differential equations reduce to a dynamical system when appropriate normalized variables are defined. We analyse the dynamical system and find that the interaction term can significantly affect the qualitative behaviour of the models. The late-time behaviour of these models may be of cosmological interest. In particular, for a specific range of values for the model parameters there are late-time attracting solutions, corresponding to a novel attracting equilibrium point, which are inflationary and in which the scalar field's energy-density remains a fixed fraction of the matter field's energy density. These scalar field models may be of interest as late-time cosmologies, particularly in view of the recent observations of the current accelerated cosmic expansion. For appropriate values of the interaction coupling parameter, this equilibrium point is an attracting focus, and hence as inflating solutions approach this late-time attractor the scalar field oscillates. Hence these models may also be of importance in the study of inflation in the early universe.Pacs 98.80.Cq

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Section: Comments On Arbitraryδmentioning

confidence: 97%

Interactions in scalar field cosmology

2000

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“…These kinds of models are interesting because Lidsey [7] showed that they are equivalent to a flat (FRW) universe with a self-interesting scalar field and a free massless scalar field, but produced no explicit example. Some explicit solutions were pointed out in references [8,9]. The Einstein's field equations are coupled system of high non-linear differential equations and we seek physical solutions to the field equations for their applications in cosmology and astrophysics.…”

Section: Introductionmentioning

confidence: 99%

Universe with Time Dependent Deceleration Parameter and Λ Term in General Relativity

Pradhan

Otarod

2006

Astrophys Space Sci

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A new class of exact solutions of Einstein's field equations with perfect fluid for an LRS Bianchi type-I spacetime is obtained by using a time dependent deceleration parameter. We have obtained a general solution of the field equations from which three models of the universe are derived: exponential, polynomial and sinusoidal form respectively. The behaviour of these models of the universe are also discussed in the frame of reference of recent supernovae Ia observations.

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“…It is of interest to identify the various mechanisms of isotropization of the universe [15][16][17][18][19][20]. Homogeneous spaces are also used in a variety of modern theories of gravity for the study of general regularities in the picture of the universe [21][22][23][24]. One can study effects of the gravitational field to other fields and matter on the background of homogeneous spaces [25][26][27][28][29].…”

Section: Exact Solutions In Stäcke and Homogeneous Spacesmentioning

confidence: 99%

Exact Solutions in Modified Gravity Models

Макаренко

Обухов

2012

Entropy

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We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations. In this paper we consider a number of exact solutions obtained by the method of separation of variables. Some applications to Cosmology and BH entropy are briefly mentioned.

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Exponential-potential scalar field universes. I. Bianchi type I Models

Cited by 54 publications

References 13 publications

Interactions in scalar field cosmology

Interactions in scalar field cosmology

Universe with Time Dependent Deceleration Parameter and Λ Term in General Relativity

Exact Solutions in Modified Gravity Models

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