RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


TMF, 2017, Volume 190, Number 1, Pages 150–161 (Mi tmf9066)  

This article is cited in 2 scientific papers (total in 2 papers)

Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe

Y. Heydarzadea, M. Khodadib, F. Darabiac

a Department of Physics, Azarbaijan Shahid Madani University, Tabriz, Iran
b Young Researchers and Elite Club, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
c Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran

Abstract: We investigate the stability of the Einstein static universe under linear scalar, vector, and tensor perturbations in the context of a deformed Hořava-Lifshitz {(}HL{\rm)} cosmology related to entropic forces. We obtain a general stability condition under linear scalar perturbations. Using this general condition, we show that there is no stable Einstein static universe in the case of a flat universe $(k=0)$. In the special case of large values of the parameter $\omega$ of HL gravity in a positively curved universe $(k>0)$, the domination of the quintessence and phantom matter fields with a barotropic equation of state parameter $\beta<-1/3$ is necessary, while for a negatively curved universe $(k<0)$, matter fields with $\beta>-1/3$ must be the dominant fields of the universe. We also demonstrate a neutral stability under vector perturbations. We obtain an inequality including the cosmological parameters of the Einstein static universe for stability under tensor perturbations. It turns out that for large values of $\omega$, there is stability under tensor perturbations.

Keywords: Hořava–Lifshitz cosmology, Einstein static universe, stability

Funding Agency Grant Number
Research Institute for Astronomy and Astrophysics of Maragha 1/3252-39
This research was supported by the Research Institute for Astronomy and Astrophysics of Maragha (Research Project No. 1/3252-39).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf9066

Full text: PDF file (462 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2017, 190:1, 130–139

Bibliographic databases:

PACS: 11.25.Wx, 04.50.Kd, 98.80.Cq.
Received: 12.10.2015
Revised: 20.12.2015

Citation: Y. Heydarzade, M. Khodadi, F. Darabi, “Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe”, TMF, 190:1 (2017), 150–161; Theoret. and Math. Phys., 190:1 (2017), 130–139

Citation in format AMSBIB
\Bibitem{HeyKhoDar17}
\by Y.~Heydarzade, M.~Khodadi, F.~Darabi
\paper Deformed Ho\v{r}ava--Lifshitz cosmology and stability of the~Einstein static universe
\jour TMF
\yr 2017
\vol 190
\issue 1
\pages 150--161
\mathnet{http://mi.mathnet.ru/tmf9066}
\crossref{https://doi.org/10.4213/tmf9066}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3598780}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2017TMP...190..130H}
\elib{http://elibrary.ru/item.asp?id=28172178}
\transl
\jour Theoret. and Math. Phys.
\yr 2017
\vol 190
\issue 1
\pages 130--139
\crossref{https://doi.org/10.1134/S0040577917010111}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000394442700011}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85011945259}


Linking options:
  • http://mi.mathnet.ru/eng/tmf9066
  • https://doi.org/10.4213/tmf9066
  • http://mi.mathnet.ru/eng/tmf/v190/i1/p150

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Li Sh.-L., Wei H., “Stability of the Einstein Static Universe in Eddington-Inspired Born-Infeld Theory”, Phys. Rev. D, 96:2 (2017), 023531  crossref  isi  scopus
    2. Li Sh.-L., Lu H., Wei H., Wu P., Yu H., “Emergent Universe Scenario, Bouncing Universes, and Cyclic Universes in Degenerate Massive Gravity”, Phys. Rev. D, 99:10 (2019), 104057  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:193
    References:31
    First page:21

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019