Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

Artur Alho; Vitor Bessa; Filipe C. Mena

doi:10.1063/1.5139879

Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

Artur Alho, Vitor Bessa^*, Filipe C. Mena

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We apply a new global dynamical system formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of state as the matter sources. This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance toward the past and future time directions. For the pure massless Yang-Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.

Original language	English
Article number	032502
Journal	Journal of Mathematical Physics
Volume	61
Issue number	3
DOIs	https://doi.org/10.1063/1.5139879
Publication status	Published - 1 Mar 2020
Externally published	Yes

Access to Document

10.1063/1.5139879

Cite this

@article{1f763bc0936f4d62ac0e4b849db72247,

title = "Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies",

abstract = "We apply a new global dynamical system formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of state as the matter sources. This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance toward the past and future time directions. For the pure massless Yang-Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.",

author = "Artur Alho and Vitor Bessa and Mena, {Filipe C.}",

year = "2020",

month = mar,

day = "1",

doi = "10.1063/1.5139879",

language = "English",

volume = "61",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "3",

}

TY - JOUR

T1 - Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

AU - Alho, Artur

AU - Bessa, Vitor

AU - Mena, Filipe C.

PY - 2020/3/1

Y1 - 2020/3/1

N2 - We apply a new global dynamical system formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of state as the matter sources. This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance toward the past and future time directions. For the pure massless Yang-Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.

AB - We apply a new global dynamical system formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of state as the matter sources. This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance toward the past and future time directions. For the pure massless Yang-Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.

UR - http://www.scopus.com/inward/record.url?scp=85081612863&partnerID=8YFLogxK

U2 - 10.1063/1.5139879

DO - 10.1063/1.5139879

M3 - Article

AN - SCOPUS:85081612863

SN - 0022-2488

VL - 61

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

M1 - 032502

ER -

Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

Abstract

Access to Document

Other files and links

Fingerprint

Cite this