Dynamical analysis of anisotropic cosmological model with quintessence

Chaubey, R.; Raushan, Rakesh

doi:10.1007/s10509-016-2806-0

Cited by 21 publications

(7 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…of fixed points are purely imaginary [28]. Linear stability analysis of anisotropic cosmological models in different gravitational settings can be found here [32][33][34][35][36]. Dynamical system approach have also been used to study bouncing and cyclic universes in different cosmological set-ups in literature [11,28,[37][38][39][40].…”

Section: Dynamics Of the Modelmentioning

confidence: 99%

See 1 more Smart Citation

Qualitative aspects of Rastall gravity with barotropic fluid

Singh¹,

Raushan

Chaubey

2021

Can. J. Phys.

Self Cite

View full text Add to dashboard Cite

We investigate the dynamical evolution of homogeneous and isotropic flat-FRW universe filled with a barotropic fluid satisfying linear equation of state in Rastall gravity. Using dynamical system approach, we find the fixed points of the system and study their stability. We further explore the thermodynamic aspects at the apparent horizon by investigating the validity of generalized second law of thermodynamics with equilibrium description.

show abstract

Section: Dynamics Of the Modelmentioning

confidence: 99%

“…[11]. Dynamical system analysis of cosmological models has been an active and interesting area of theoretical research [28][29][30][31][32][33][34][35][36][37][38][39][40]. The connection between gravity and thermodynamics has been an interesting topic since development of black hole thermodynamics [41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Qualitative aspects of Rastall gravity with barotropic fluid

Singh¹,

Raushan

Chaubey

2021

Can. J. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…and confines the dynamics to the constraint surface, H (0) 0 = 0. Finding the solution to the above equations in general can be difficult, see [26][27][28][29][30][31] for some results on the Bianchi I dynamics.…”

Section: The Bianchi I Modelmentioning

confidence: 99%

Dirac procedure and the Hamiltonian formalism for cosmological perturbations in a Bianchi I universe

Alice

Małkiewicz

2021

Class. Quantum Grav.

View full text Add to dashboard Cite

We apply the Dirac procedure for constrained systems to the Arnowitt-Deser-Misner formalism linearized around the Bianchi I universe. We discuss and employ basic concepts such as Dirac observables, Dirac brackets, gauge-fixing conditions, reduced phase space, physical Hamiltonian, canonical isomorphism between different gauge-fixing surfaces and spacetime reconstruction. We relate this approach to the gauge-fixing procedure for non-perturbative canonical relativity. We discuss the issue of propagating a basis for the scalar-vector-tensor decomposition as, in an anisotropic universe, the wavefronts of plane waves undergo a non-trivial evolution. We show that the definition of a gravitational wave as a traceless-transverse mode of the metric perturbation needs to be revised. Moreover there exist coordinate systems in which a polarization mode of the gravitational wave is given entirely in terms of a scalar metric perturbation. We first develop the formalism for the universe with a single minimally coupled scalar field and then extend it to the multi-field case. The obtained fully canonical formalism will serve as a starting point for a complete quantization of the cosmological perturbations and the cosmological background.

show abstract

“…Recently, the Higgs field existence was confirmed in laboratory [24,25], which has optimized the possibility of existence of other scalar fields, such as quintessence for example, which are named scalar fields responsible for the Universe dynamics [26][27][28][29]. Scalar field models are also approached in the study of false vacuum transitions [30,31], which, for instance, concern to statistical mechanics and also cosmology, the latter because the transition from false to true vacua can be interpreted as transitions between different stages of the Universe dynamics [32].…”

Section: P-1mentioning

confidence: 99%

The Importance of Scalar Fields as Extradimensional Metric Components in Kaluza-Klein Models

Moraes

Correa

2019

Advances in Astronomy

View full text Add to dashboard Cite

Extradimensional models are achieving their highest popularity nowadays, among other reasons, because they can plausible explain some standard cosmology issues, such as the cosmological constant and hierarchy problems. In extradimensional models, we can infer that the four-dimensional matter rises as a geometric manifestation of the extra coordinate. In this way, although we still cannot see the extra dimension, we can relate it to physical quantities that are able to exert such a mechanism of matter induction in the observable universe. In this work we propose that scalar fields are those physical quantities. The models here presented are purely geometrical in the sense that no matter lagrangian is assumed and even the scalar fields are contained in the extradimensional metric. The results are capable of describing different observable cosmic features and yield an alternative to ultimately understand the extra dimension and the mechanism in which it is responsible for the creation of matter in the observable universe.

show abstract

Dynamical analysis of anisotropic cosmological model with quintessence

Cited by 21 publications

References 31 publications

Qualitative aspects of Rastall gravity with barotropic fluid

Qualitative aspects of Rastall gravity with barotropic fluid

Dirac procedure and the Hamiltonian formalism for cosmological perturbations in a Bianchi I universe

The Importance of Scalar Fields as Extradimensional Metric Components in Kaluza-Klein Models

Contact Info

Product

Resources

About