Cosmological solutions for the coupled Einstein-Yang-Mills-Higgs equations

Ochs, U.; Sorg, M.

doi:10.1007/bf02107381

Cited by 14 publications

(12 citation statements)

References 6 publications

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“…The Einstein Yang-Mills Higgs action [12][13][14] borrows some elements from the SM (see, for example, Refs. [10,11]) such as the SU(2) gauge invarianceand, therefore, the existence of three gauge bosonsand the presence of a Higgs complex doublet.…”

Section: Importance Of the Yang-mills Higgs Interactionmentioning

confidence: 99%

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Einstein Yang–Mills Higgs dark energy revisited

Álvarez

Orjuela-Quintana

Rodríguez

et al. 2019

Class. Quantum Grav.

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Inspired in the Standard Model of Elementary Particles, the Einstein Yang-Mills Higgs action with the Higgs field in the SU(2) representation was proposed in Class. Quantum Grav. 32 (2015) 045002 as the element responsible for the dark energy phenomenon. We revisit this action emphasizing in a very important aspect not sufficiently explored in the original work and that substantially changes its conclusions. This aspect is the role that the Yang-Mills Higgs interaction plays at fixing the gauge for the Higgs field, in order to sustain a homogeneous and isotropic background, and at driving the late accelerated expansion of the Universe by moving the Higgs field away of the minimum of its potential and holding it towards an asymptotic finite value. We analyse the dynamical behaviour of this system and supplement this analysis with a numerical solution whose initial conditions are in agreement with the current observed values for the density parameters. This scenario represents a step towards a successful merging of cosmology and well-tested particle physics phenomenology.PACS numbers: 98.80.Cq; 95.36.+x

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Section: Importance Of the Yang-mills Higgs Interactionmentioning

confidence: 99%

“…[10,11]), the Einstein Yang-Mills Higgs action was introduced in Refs. [12,13] in order to study its role in the description of the primordial inflationary period. Many years later, M. Rinaldi studied such an action in Ref.…”

Section: Introductionmentioning

confidence: 99%

Einstein Yang–Mills Higgs dark energy revisited

Álvarez

Orjuela-Quintana

Rodríguez

et al. 2019

Class. Quantum Grav.

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“…Why is the EYMH model interesting for cosmological applications? As it was stressed in [10], numerous models of inflation in the Early Universe involve into consideration the multiplet of Higgs scalar fields Φ. Higgs scalar fields are coupled with the gauge Yang-Mills field, characterized by potential four-vectors A k , the so-called minimal coupling being realized by means of the gauge-covariant derivativeD m Φ = ∂ m Φ + [A m , Φ]. Since contributions of the Higgs fields into the total stress-energy tensor of the system are considered in many models as the dominating ones at the inflation stage, the gauge counterpart of the Higgs field, the Yang-Mills field, should also be included into the master equations.…”

Section: Introductionmentioning

confidence: 93%

Effective metrics in the non-minimal Einstein–Yang–Mills–Higgs theory

2008

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We formulate a self-consistent non-minimal five-parameter Einstein-Yang-Mills-Higgs (EYMH) model and analyse it in terms of effective (associated, color and color-acoustic) metrics. We use a formalism of constitutive tensors in order to reformulate master equations for the gauge, scalar and gravitational fields and reconstruct in the algebraic manner the so-called associated metrics for the Yang-Mills field. Using WKB-approximation we find color metrics for the Yang-Mills field and color-acoustic metric for the Higgs field in the framework of five-parameter EYMH model. Based on explicit representation of these effective metrics for the EYMH system with uniaxial symmetry, we consider cosmological applications for Bianchi-I, FLRW and de Sitter models. We focus on the analysis of the obtained expressions for velocities of propagation of longitudinal and transversal color and color-acoustic waves in a (quasi)vacuum interacting with curvature; we show that curvature coupling results in time variations of these velocities. We show, that the effective metrics can be regular or can possess singularities depending on the choice of the parameters of non-minimal coupling in the cosmological models under discussion. We consider a physical interpretation of such singularities in terms of phase velocities of color and color-acoustic waves, using the terms "wave stopping" and "trapped surface".

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“…The dynamics of FRW universe was studied in presence of non-abelian gauge fields invariant under SO(3) and SU(2) gauge group or an arbitrary gauge group SO(N) [35][36][37][38][39][40][41][42]. In the context of inflation Einstein Yang-Mills Higgs action was first introduced [43,44] to study the effect of gauge field on inflation. There are also models of inflation known as Gaugeflation where the inflation is driven solely by a non-Abelian gauge field, see for instance Refs.…”

Section: Introductionmentioning

confidence: 99%

Confronting Einstein Yang Mills Higgs dark energy in light of observations

Adak¹

2020

Eur. Phys. J. C

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We study the observational aspects of Einstein Yang Mills Higgs dark energy model and constrain the parameters space from the latest observational data from type Ia supernovae, observational Hubble data, baryon acoustic oscillation data and cosmic microwave background radiation shift parameter data. It is found from the analysis of data that the Higgs field in presence of gauge fields can successfully describe the present accelerated expansion of the universe consistent with the astrophysical observations.

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Cosmological solutions for the coupled Einstein-Yang-Mills-Higgs equations

Cited by 14 publications

References 6 publications

Einstein Yang–Mills Higgs dark energy revisited

Einstein Yang–Mills Higgs dark energy revisited

Effective metrics in the non-minimal Einstein–Yang–Mills–Higgs theory

Confronting Einstein Yang Mills Higgs dark energy in light of observations

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