Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

General Relativity and Quantum Cosmology

arXiv:2108.10276 (gr-qc)
[Submitted on 23 Aug 2021 (v1), last revised 31 Oct 2021 (this version, v2)]

Title:Integrable modified gravity cosmological models with an additional scalar field

Authors:Vsevolod R. Ivanov, Sergey Yu. Vernov
View PDF
Abstract:We consider modified gravity cosmological models that can be transformed into two-field chiral cosmological models by the conformal metric transformation. For the $R^2$ gravity model with an additional scalar field and the corresponding two-field model with the cosmological constant and nonstandard kinetic part of the action, the general solutions have been obtained in the spatially flat FLRW metric. We analyze the correspondence of the cosmic time solutions obtained and different possible evolutions of the Hubble parameters in the Einstein and Jordan frames.
Comments: 11 pages, 3 figures, v2: minor corrections, references are added, to appear in EPJC
Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO); Mathematical Physics (math-ph)
Cite as: arXiv:2108.10276 [gr-qc]
  (or arXiv:2108.10276v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2108.10276
Journal reference: Eur. Phys. J. C 81 (2021) 985
Related DOI: https://doi.org/10.1140/epjc/s10052-021-09792-4

Submission history

From: Sergey Yu. Vernov [view email]
[v1] Mon, 23 Aug 2021 16:27:25 UTC (46 KB)
[v2] Sun, 31 Oct 2021 19:07:26 UTC (62 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
gr-qc
< prev   |   next >
new | recent | 2021-08
Change to browse by:
astro-ph
astro-ph.CO
math
math-ph
math.MP

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)