### Abstract

Original language | English |
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Pages (from-to) | 293-312 |

Number of pages | 20 |

Journal | Communications in Mathematical Physics |

Volume | 346 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Aug 2016 |

### Cite this

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**Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant.** / Oliynyk, Todd A.

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

TY - JOUR

T1 - Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant

AU - Oliynyk, Todd A.

PY - 2016/8/1

Y1 - 2016/8/1

N2 - We introduce a new method for establishing the future non-linear stability of perturbations of FLRW solutions to the Einstein–Euler equations with a positive cosmological constant and a linear equation of state of the form p = Kρ. The method is based on a conformal transformation of the Einstein–Euler equations that compactifies the time domain and can handle the equation of state parameter values 0 < K ≤ 1/3 in a uniform manner. It also determines the asymptotic behavior of the perturbed solutions in the far future.

AB - We introduce a new method for establishing the future non-linear stability of perturbations of FLRW solutions to the Einstein–Euler equations with a positive cosmological constant and a linear equation of state of the form p = Kρ. The method is based on a conformal transformation of the Einstein–Euler equations that compactifies the time domain and can handle the equation of state parameter values 0 < K ≤ 1/3 in a uniform manner. It also determines the asymptotic behavior of the perturbed solutions in the far future.

UR - http://www.scopus.com/inward/record.url?scp=84953212964&partnerID=8YFLogxK

U2 - 10.1007/s00220-015-2551-1

DO - 10.1007/s00220-015-2551-1

M3 - Article

VL - 346

SP - 293

EP - 312

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -