Gauss-Bonnet gravity, brane world models, and nonminimal coupling

Farakos, K.; Pasipoularides, P.

doi:10.1103/physrevd.75.024018

Cited by 30 publications

(33 citation statements)

References 51 publications

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“…Braneworld solutions with a Minkowski spacetime on our brane were also studied in the context of a nonminimally coupled scalar-tensor theory in[75][76][77][78].…”

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confidence: 99%

Antigravitating braneworld solutions for a de Sitter brane in scalar-tensor gravity

2018

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In the context of a five-dimensional theory with a scalar field nonminimally coupled to gravity, we look for solutions that describe novel black-string or maximally symmetric solutions in the bulk. The brane line element is found to describe a Schwarzschild-(anti)-de Sitter spacetime, and, here, we choose to study solutions with a positive four-dimensional cosmological constant. We consider two different forms of the coupling function of the scalar field to the bulk scalar curvature, a linear one and a quadratic one. In the linear case, we find solutions where the theory, close to our brane, mimics an ordinary gravitational theory with a minimally coupled scalar field giving rise to an exponentially decreasing warp factor in the absence of a negative bulk cosmological constant. The solution is characterized by the presence of a normal gravity regime around our brane and an antigravitating regime away from it. In the quadratic case, there is no normal-gravity regime at all; however, scalar field and energy-momentum tensor components are well defined and an exponentially decreasing warp factor emerges again. We demonstrate that, in the context of this theory, the emergence of a positive cosmological constant on our brane is always accompanied by an antigravitating regime in the five-dimensional bulk. *

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“…Braneworld solutions with a Minkowski spacetime on our brane were also studied in the context of a nonminimally coupled scalar-tensor theory in[75][76][77][78].…”

mentioning

confidence: 99%

Antigravitating braneworld solutions for a de Sitter brane in scalar-tensor gravity

2018

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“…It is worth noting that, unlike previous works [58]/ [59] where a bulk/brane scalar field nonminimally coupled to bulk/brane curvature in the Jordan frame, the canonically normalized Higgs field χ in the Einstein frame is minimally coupled to the five-dimensional Gauss-Bonnet gravity in our model. We argue that the action (1) Then the inflationary predictions [60] can be carried out directly just as those been done in [61]: First, solving Hubble parameter from modified FRW equation (10) by replacing ρ with U (χ), and calculating slow-roll pa-rameters [62]…”

Section: Higgs Inflation In the Gauss-bonnet Braneworldmentioning

confidence: 89%

Higgs inflation in Gauss-Bonnet braneworld

Cai¹,

Guo²,

Wang³

2015

Phys. Rev. D

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The measured masses of the Higgs boson and top quark indicate that the effective potential of the standard model either develops an unstable electroweak vacuum or stands stable all the way up to the Planck scale. In the latter case in which the top quark mass is about 2σ below its present central value, the Higgs boson can be the inflaton with the help of a large nonminimal coupling to curvature in four dimensions. We propose a scenario in which the Higgs boson can be the inflaton in a five-dimensional Gauss-Bonnet braneworld model to solve both the unitarity and stability problems which usually plague Higgs inflation. We find that in order for Higgs inflation to happen successfully in the Gauss-Bonnet regime, the extra dimension scale must appear roughly in the range between the TeV scale and the instability scale of standard model. At the tree level, our model can give rise to a naturally small nonminimal coupling ξ ∼ O(1) for the Higgs quartic coupling λ ∼ O(0.1) if the extra dimension scale lies at the TeV scale. At the loop level, the inflationary predictions at the tree level are preserved. Our model can be confronted with future experiments and observations from both particle physics and cosmology.

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“…The motivation for including a NMC term arises at the quantum level when quantum corrections to the scalar field theory are considered. This kind of NMC to gravity has been discussed enough in four dimensions [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41], in extra dimensions [42][43][44][45] and also in IG [46]. It turns out that in general relativity, the coupling constant is valued to 1/6 [47].…”

Section: Introductionmentioning

confidence: 99%

Dynamical system approach of non-minimal coupling in holographic cosmology

Bargach

Ouali

2019

Nuclear Physics B

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We study the dynamical system approach of non minimally coupled scalar field to induced gravity on the brane in the framework of the AdS/CFT correspondence. In this context, we derive the modified Friedmann equation and the equation of motion. The dynamics of this model are studied by rewriting the cosmological field equations in the form of a system of autonomous differential equations. In particular, the analysis is considered by investigating an exponential potential and a monomial form of the non minimal coupling function. We show that, for sufficient conditions, a past de Sitter attractor solution is obtained in the case of a minimal coupling, meanwhile a future de Sitter attractor solutions is obtained for a conformal coupling and for a non minimal coupling.

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Gauss-Bonnet gravity, brane world models, and nonminimal coupling

Cited by 30 publications

References 51 publications

Antigravitating braneworld solutions for a de Sitter brane in scalar-tensor gravity

Antigravitating braneworld solutions for a de Sitter brane in scalar-tensor gravity

Higgs inflation in Gauss-Bonnet braneworld

Dynamical system approach of non-minimal coupling in holographic cosmology

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