Cosmological dynamical systems in modified gravity

被引:6
作者
Bohmer, Christian G. [1 ]
Jensko, Erik [1 ]
Lazkoz, Ruth [2 ]
机构
[1] UCL, Dept Math, Gower St, London WC1E 6BT, England
[2] Univ Basque Country, Fac Sci & Technol, Dept Phys, POB 644, Bilbao 48080, Spain
来源
EUROPEAN PHYSICAL JOURNAL C | 2022年 / 82卷 / 06期
基金
英国工程与自然科学研究理事会;
关键词
45;
D O I
10.1140/epjc/s10052-022-10412-y
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The field equations of modified gravity theories, when considering a homogeneous and isotropic cosmological model, always become autonomous differential equations. This relies on the fact that in such models all variables only depend on cosmological time, or another suitably chosen time parameter. Consequently, the field equations can always be cast into the form of a dynamical system, a successful approach to study such models. We propose a perspective that is applicable to many different modified gravity models and relies on the standard cosmological density parameters only, making our choice of variables model independent. The drawback of our approach is a more complicated constraint equation. We demonstrate our procedure studying various modified gravity models and show how much generic information can be extracted before a specific model is considered.
引用
收藏
页数:17
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共 43 条
  • [1] Planck 2018 results: I. Overview and the cosmological legacy of Planck
    Aghanim, N.
    Akrami, Y.
    Arroja, F.
    Ashdown, M.
    Aumont, J.
    Baccigalupi, C.
    Ballardini, M.
    Banday, A. J.
    Barreiro, R. B.
    Bartolo, N.
    Basak, S.
    Battye, R.
    Benabed, K.
    Bernard, J. -P.
    Bersanelli, M.
    Bielewicz, P.
    Bock, J. J.
    Bond, J. R.
    Borrill, J.
    Bouchet, F. R.
    Boulanger, F.
    Bucher, M.
    Burigana, C.
    Butler, R. C.
    Calabrese, E.
    Cardoso, J. -F.
    Carron, J.
    Casaponsa, B.
    Challinor, A.
    Chiang, H. C.
    Colombo, L. P. L.
    Combet, C.
    Contreras, D.
    Crill, B. P.
    Cuttaia, F.
    de Bernardis, P.
    de Zotti, G.
    Delabrouille, J.
    Delouis, J. -M.
    Desert, F. -X.
    Di Valentino, E.
    Dickinson, C.
    Diego, J. M.
    Donzelli, S.
    Dore, O.
    Douspis, M.
    Ducout, A.
    Dupac, X.
    Efstathiou, G.
    Elsner, F.
    [J]. ASTRONOMY & ASTROPHYSICS, 2020, 641
  • [2] On dynamical systems approaches and methods in f (R) cosmology
    Alho, Artur
    Carloni, Sante
    Uggla, Claes
    [J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2016, (08):
  • [3] Conditions for the cosmological viability of f(R) dark energy models
    Amendola, Luca
    Gannouji, Radouane
    Polarski, David
    Tsujikawa, Shinji
    [J]. PHYSICAL REVIEW D, 2007, 75 (08):
  • [4] Dynamical systems applied to cosmology: Dark energy and modified gravity
    Bahamonde, Sebastian
    Bohmer, Christian G.
    Carloni, Sante
    Copeland, Edmund J.
    Fang, Wei
    Tamanini, Nicola
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2018, 775 : 1 - 122
  • [5] Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
    Bamba, Kazuharu
    Capozziello, Salvatore
    Nojiri, Shin'ichi
    Odintsov, Sergei D.
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 2012, 342 (01) : 155 - 228
  • [6] Updating constraints on f(T) teleparallel cosmology and the consistency with big bang nucleosynthesis
    Benetti, Micol
    Capozziello, Salvatore
    Lambiase, Gaetano
    [J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2021, 500 (02) : 1795 - 1805
  • [7] Bhmer C.G., 2021, FDN GRAVITY MODIFICA, P2738
  • [8] Modified gravity: A unified approach
    Boehmer, Christian G.
    Jensko, Erik
    [J]. PHYSICAL REVIEW D, 2021, 104 (02)
  • [9] Early modified gravity in light of the H0 tension and LSS data
    Braglia, Matteo
    Ballardini, Mario
    Finelli, Fabio
    Koyama, Kazuya
    [J]. PHYSICAL REVIEW D, 2021, 103 (04)
  • [10] f(T) teleparallel gravity and cosmology
    Cai, Yi-Fu
    Capozziello, Salvatore
    De Laurentis, Mariafelicia
    Saridakis, Emmanuel N.
    [J]. REPORTS ON PROGRESS IN PHYSICS, 2016, 79 (10)