CoChat
Sign Up
Cited by 49Cosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories

Braneworld dynamics in Einstein-Gauss-Bonnet gravity

Open access
Maeda, Hideki, Sahni, Varun, Shtanov, Yuri·2007·Physical Review D
DOI 10.1103/physrevd.76.104028
Open this paper in CoChat — free account

Abstract

We discuss the cosmological evolution of a braneworld in five-dimensional Gauss-Bonnet gravity. Our discussion allows the fifth (bulk) dimension to be spacelike as well as timelike. The resulting equations of motion have the form of a cubic equation in the $({H}^{2},(\ensuremath{\rho}+\ensuremath{\sigma}{)}^{2})$ plane, where $\ensuremath{\sigma}$ is the brane tension and $\ensuremath{\rho}$ is the matter density. This allows us to conduct a comprehensive pictorial analysis of cosmological evolution for the Gauss-Bonnet brane. The many interesting properties of this braneworld include the possibility of accelerated expansion at late times. For a finite region in parameter space the accelerated expansion can be phantomlike so that $w<\ensuremath{-}1$. At late times, this branch approaches de Sitter space ($w=\ensuremath{-}1$) and avoids the big-rip singularities usually present in phantom models. For a timelike extra dimension the Gauss-Bonnet brane can bounce and avoid the initial singularity.

Integrity signals

Registry

Crossref · 10.1103/physrevd.76.104028

Cites

110 of 110 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Cites

Flagged first, then by citations

Research works printed but not linked: 5

  1. N. Deruelle, 2003, Nuovo Cimento Soc. Ital. Fis. B, 118, 977
  2. B. M. N. Carter, J. Cosmol. Astropart. Phys., 2006, 004
  3. 10.1103/PhysRevD.74.104031 · DOI
  4. 10.1016/S0370-2693(03)00555-0 · DOI
  5. 10.1103/PhysRevD.67.024030 · DOI

Cited by

Still being checked.

Related

Authors
Maeda, H., Sahni, V., & Shtanov, Y.
Affiliations
International Christian University (JP)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2007-11-15
Volume
76
Issue
10
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.76.104028
OpenAlex
W2047705564
Cited by
49
References
110
Citations by year
2026: 2 · 2025: 2 · 2023: 2 · 2020: 2 · 2019: 2 · 2018: 4 · 2017: 1 · 2016: 5 · 2015: 1 · 2014: 3 · 2013: 3 · 2012: 4
FWCI
2.99
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
braneworld, Einstein-Gauss-Bonnet gravity, five-dimensional gravity, cosmological evolution, cosmic acceleration, phantom crossing, de Sitter space, bounce, initial singularity avoidance, brane tension

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review