Cosmology in a model with Lagrange multiplier, Gauss–Bonnet and nonminimal kinetic couplings

Jimenez, D. F.; Granda, L. N.; Elizalde, E.

doi:10.1142/s0218271819501712

Cited by 3 publications

(2 citation statements)

References 94 publications

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“…The study of slow-roll inflation in scalar-tensor models with Gauss-Bonnet (GB) coupling has been done in [79][80][81][82][83][84][85][86][87][88]. The combined effect of the NMKC and GB coupling in the slow-roll inflation have been studied in [89][90][91][92] where some cosmological scenarios have been analyzed.…”

Section: Introductionmentioning

confidence: 99%

Inflation with non-minimal kinetic and Gauss–Bonnet couplings

Granda

Jimenez

2021

Eur. Phys. J. C

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The Mukhanov–Sasaki equation is deduced from linear perturbations for a general scalar-tensor model with non-minimal coupling to curvature, to the Gauss–Bonnet invariant and non-minimal kinetic coupling to curvature. The general formulas for the power spectra of the primordial scalar and tensor fluctuations are obtained for arbitrary coupling functions. The results have been applied to models with power-law, exponential, natural and double-well potentials. It was found that the presence of these non-minimal couplings affect the inflationary observables leading to values favored by the latest observations, while some interesting results like sub-planckian symmetry breaking scale in natural inflation and sub-planckian v.e.v. of the scalar filed in the double-well potential were obtained. The consistency with the reheating process was discussed and some numerical cases were shown. The equivalence of the model to a sector of generalized Galileons was shown and the functions that establish the correspondence were found.

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Section: Introductionmentioning

confidence: 99%

Inflation with non-minimal kinetic and Gauss–Bonnet couplings

Granda

Jimenez

2021

Eur. Phys. J. C

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“…In this paper, we examine a cosmological vector field non-minimally coupled to gravity through the Gauss-Bonnet invariant. Although couplings between the Gauss-Bonnet invariant and scalar fields have been explored in the context of inflationary cosmology (Tsujikawa, Sami, & Maartens, 2004;Carter & Neupane, 2006.;Satoh & Soda, 2008;Guo & Schwarz, 2009;Sadeghi, Setare, & Banijamali, 2009;Guo & Schwarz, 2010;Satoh, 2010;Jiang, Hu, & Guo, 2013;Nozari & Rashidi, 2013;Koh, Lee, Lee, & Tumurtushaa, 2014;Okada & Okada, 2016;Kanti, Gannouji, & Dadhich, 2015;van de Bruck, Dimopoulos, & Longden, 2016;Koh, Lee, & Tumurtushaa, 2017;Mathew & Shankaranarayanan, 2016;van de Bruck, Dimopoulos, Longden, & Owen, 2017;Fomin & Chervon, 2017;Yi, Gong, & Sabir, 2018;Granda & Jimenez, 2019b, 2019aJimenez, Granda, & Elizalde, 2019;Kleidis & Oikonomou, 2019;Fomin, 2020;Pozdeeva, 2020;Rashidi & Nozari, 2020), the coupling with a massive vector field has not been sufficiently explored in the literature (Oliveros, 2017). Non-minimal couplings of the electromagnetic field to gravity, in particular to the Gauss-Bonnet invariant, have been considered as a mechanism to generate large-scale magnetic fields during inflation (Sadeghi et al, 2009;Bamba & Odintsov, 2008).…”

Section: Introductionmentioning

confidence: 99%

On the coupling of vector fields to the Gauss-Bonnet invariant

Sánchez

Orjuela-Quintana

Valenzuela-Toledo

2021

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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Inflationary models including vector fields have attracted a great deal of attention over the past decade. Such an interest owes to the fact that they might contribute to, or even be fully responsible for, the curvature perturbation imprinted in the cosmic microwave background. However, the necessary breaking of the vector fields conformal invariance during inflation is not without problems. In recent years, it has been realized that a number of instabilities endangering the consistency of the theory arise when the conformal invariance is broken by means of a non-minimal coupling to gravity. In this paper, we consider a massive vector field non-minimally coupled to gravity through the Gauss-Bonnet invariant, and investigate whether the vector can play the role of a curvaton while evading the emergence of instabilities and preserves the large-scale isotropy.

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$$f\left( R,\square R\right) $$-gravity and equivalency with the modified GUP Scalar field models

Paliathanasis

2024

Eur. Phys. J. C

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Inspired by the generalization of scalar field gravitational models with a minimum length we study the equivalent theory in modified theories of gravity. The quadratic generalized uncertainty principle (GUP) gives rise to a deformed Heisenberg algebra in the application, resulting in the emergence of additional degrees of freedom described by higher-order derivatives. The new degrees of freedom can be attributed to the introduction of a new scalar field, transforming the resulting theory into a two-scalar field theory. Thus, in order to describe all the degrees of freedom we investigate special forms of the sixth-order modify $$f\left( R,\square R\right) -$$ f R , □ R - theory of gravity, where the gravitational Lagrangian has similar properties to that of the GUP scalar field theory. Finally, the cosmological applications are discussed, and we show that the de Sitter universe can be recovered without introducing a cosmological constant.

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Cosmology in a model with Lagrange multiplier, Gauss–Bonnet and nonminimal kinetic couplings

Cited by 3 publications

References 94 publications

Inflation with non-minimal kinetic and Gauss–Bonnet couplings

Inflation with non-minimal kinetic and Gauss–Bonnet couplings

On the coupling of vector fields to the Gauss-Bonnet invariant

$$f\left( R,\square R\right) $$-gravity and equivalency with the modified GUP Scalar field models

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