Dynamical analysis of cosmological models with non-Abelian gauge vector fields

Guarnizo, Alejandro; Orjuela-Quintana, J. Bayron; Valenzuela-Toledo, César A.

doi:10.1103/physrevd.102.083507

Cited by 26 publications

(9 citation statements)

References 90 publications

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“…This technique as described has been widely used in cosmology (see for example Refs. [39][40][41][42][43][44][45]). Usually, the resulting set of algebraic equations is analytically solvable using softwares for symbolic computation, for instance, using the command Solve in Mathematica.…”

Section: Introductionmentioning

confidence: 99%

Reconstructing the parameter space of non-analytical cosmological fixed points

Santiago¹,

Orjuela-Quintana²,

Valenzuela-Toledo³

et al. 2023

Preprint

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Dynamical system theory is a widely used technique to analyze the asymptotic behavior of a cosmological model. In this method, the equations that describes the dynamics are written in terms of dimensionless variables to make up a set of autonomous first-order differential equations. Then, the asymptotic dynamics of the model are encoded in the fixed points of the autonomous set. Usually, these points are analytical expressions for the variables in terms of the parameters of the model, allowing us to constrain its parameter space. However, analytical treatment could be impossible in some cases. In this work, we give an example of a dark energy (DE) model with no analytical fixed points, a tachyon field coupled to a vector field in an anisotropic Bianchi I background, and propose a numerical description of the parameter space, which allows us to find the bifurcation curves of possible accelerated attractors of the system. This work could serve as a template for numerical analysis of highly complicated dynamical systems.

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Section: Introductionmentioning

confidence: 99%

Reconstructing the parameter space of non-analytical cosmological fixed points

Santiago¹,

Orjuela-Quintana²,

Valenzuela-Toledo³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…The gauge field configurations in the context of the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmology has been discussed in the literature before [25][26][27][28][29][30][31][32]. For example, in the Yang-Mills (YM) theories in which the non-Abelian YM field couples to the scalar curvature, one examines the cosmological consequences of the nonminimal gravitational coupling of the YM field.…”

Section: Introductionmentioning

confidence: 99%

Little Rip dark energy and cyclic cosmology from the Maxwell symmetry

Kibaroğlu¹

2022

Preprint

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In this study, we consider finding a cosmological model for the Maxwell gauge theory of gravity. In analogy with the Einstein-Yang-Mills theory which involves the cosmological consequences of the gauge fields, we express the Maxwell gauge field in terms of two time-dependent scalar fields. For a cosmological scenario, we use a homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker universe and present the generalized Friedmann equations together with new contributions. Then we show that the Little Rip dark energy and cyclic cosmology can be unified in terms of this model in a certain condition.

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“…Among the proposals for anisotropic dark energy, we can find models that include vector fields [35][36][37][38][39][40][41][42], p-forms [43][44][45], non-Abelian gauge fields [46][47][48][49], or inhomogeneous fields [16,50,51]. Although the pop models of dark energy are based on homogeneous scalar fields (quintessence) [52][53][54][55], it is known that this kind of fields alone cannot source anisotropic stress, meaning that any initial spatial shear would be quickly damped and the Universe will isotropize.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic $k$-essence

Orjuela-Quintana,

Valenzuela-Toledo

2021

Preprint

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In this paper, we study the late time cosmology of a non-canonical scalar field (k-essence) coupled to a vector field in a Bianchi-I background. Specifically, we study three cases: canonical scalar field (quintessence) with exponential potential as a warm up, the dilatonic ghost condensate, and the Dirac Born Infeld field with exponentials throat and potential. By using a dynamical system approach, we show that anisotropic dark energy fixed points can be attractors for a suitable set of parameters of each model. We also numerically integrate the associated autonomous systems for particular initial conditions chosen in the deep radiation epoch. We find that the three models can give an account of an equation of state of dark energy close to −1 nowadays. However, a non-negligible spatial shear within the observational bounds nowadays is possible only for the quintessence and the Dirac Born Infeld field. We also find that the equation of state of dark energy and the shear oscillate around nowadays, whenever the coupling of the k-essence field to the vector field is strong enough. The reason of these oscillations is explained in the appendix.

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Dynamical analysis of cosmological models with non-Abelian gauge vector fields

Cited by 26 publications

References 90 publications

Reconstructing the parameter space of non-analytical cosmological fixed points

Reconstructing the parameter space of non-analytical cosmological fixed points

Little Rip dark energy and cyclic cosmology from the Maxwell symmetry

Anisotropic $k$-essence

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