Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term

We investigate the scalar field dynamics of models with nonminimally coupled scalar fields in the presence of the Gauss-Bonnet term and derive the structure of the effective potential and conditions for stable de Sitter solutions in general. Specializing to specific couplings, we explore the possibility of realizing the stable de Sitter configurations which may have implications for both the early Universe and late time evolution.

Note:

9 pages, 5 figures, some references and comments are added, revised version to appear in Phys. Rev. D

Cosmology
field theory: scalar
coupling: scalar
space: de Sitter
stability
Gauss-Bonnet term
effective potential
coupling: nonminimal
potential: Higgs
curvature

References(44)

Figures(6)

[1]

The Quartic Effective Action for the Heterotic String

David J. Gross
(
- UC, Santa Barbara and
- Princeton U.
)
,
John H. Sloan
(
- UC, Santa Barbara and
- Princeton U.
)

- Nucl.Phys.B 291 (1987) 41-89
•
DOI:
- 10.1016/0550-3213(87)90465-2

[1]

Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor

R.R. Metsaev
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

- Nucl.Phys.B 293 (1987) 385-419,
- Moscow Inst. Phys. Acad. Sci. - 87-048 (87,REC.MAY) 42p
•
DOI:
- 10.1016/0550-3213(87)90077-0

[2]

Singularity - free cosmological solutions of the superstring effective action

Ignatios Antoniadis
(
- Ecole Polytechnique
)
,
J. Rizos
(
- Ecole Polytechnique
)
,
K. Tamvakis
(
- Ioannina U.
)

- Nucl.Phys.B 415 (1994) 497-514
•
e-Print:
- hep-th/9305025
•
DOI:
- 10.1016/0550-3213(94)90120-1

[3]

Dilatonic black holes with Gauss-Bonnet term

- Phys.Rev.D 55 (1997) 739-753
•
e-Print:
- gr-qc/9606034
•
DOI:
- 10.1103/PhysRevD.55.739

[4]

Instability of one loop superstring cosmology

Shinsuke Kawai
(
- Kyoto U.
)
,
Masa-aki Sakagami
(
- Kyoto U., FIHS
)
,
Jiro Soda
(
- Kyoto U., FIHS
)

- Phys.Lett.B 437 (1998) 284-290
•
e-Print:
- gr-qc/9802033
•
DOI:
- 10.1016/S0370-2693(98)00925-3

[4]

Evolution of fluctuations during graceful exit in string cosmology

Shinsuke Kawai
(
- Kyoto U.
)
,
Jiro Soda
(
- Kyoto U., FIHS
)

- Phys.Lett.B 460 (1999) 41-46
•
e-Print:
- gr-qc/9903017
•
DOI:
- 10.1016/S0370-2693(99)00736-4

[5]

Evolution of cosmological perturbations in nonsingular string cosmologies

Cyril Cartier
(
- Sussex U.
)
,
Jai-chan Hwang
(
- Kyungpook Natl. U. and
- Cambridge U., Inst. of Astron.
)
,
Edmund J. Copeland
(
- Sussex U.
)

- Phys.Rev.D 64 (2001) 103504
•
e-Print:
- astro-ph/0106197
•
DOI:
- 10.1103/PhysRevD.64.103504

[5]

Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses

Jai-chan Hwang
(
- Kyungpook Natl. U.
)
,
Hyerim Noh
(
- KASI, DaeJeon
)

- Phys.Rev.D 71 (2005) 063536
•
e-Print:
- gr-qc/0412126
•
DOI:
- 10.1103/PhysRevD.71.063536

[6]

String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling

Shinji Tsujikawa
(
- Gunma Coll. Tech.
)
,
M. Sami
(
- Jamia Millia Islamia
)

- JCAP 01 (2007) 006
•
e-Print:
- hep-th/0608178
•
DOI:
- 10.1088/1475-7516/2007/01/006

[7]

Dark energy and cosmological solutions in second-order string gravity

Gianluca Calcagni
(
- Gunma Coll. Tech.
)
,
Shinji Tsujikawa
(
- Gunma Coll. Tech.
)
,
M Sami
(
- IUCAA, Pune
)

- Class.Quant.Grav. 22 (2005) 3977-4006
•
e-Print:
- hep-th/0505193
•
DOI:
- 10.1088/0264-9381/22/19/011

[8]

Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame

Carsten van de Bruck
(
- Sheffield U.
)
,
Chris Longden
(
- Sheffield U.
)

- Phys.Rev.D 93 (2016) 6, 063519
•
e-Print:
- 1512.04768
•
DOI:
- 10.1103/PhysRevD.93.063519

[9]

Reheating in Gauss-Bonnet-coupled inflation

Carsten van de Bruck
(
- Sheffield U.
)
,
Konstantinos Dimopoulos
(
- Lancaster U.
)
,
Chris Longden
(
- Sheffield U.
)

- Phys.Rev.D 94 (2016) 2, 023506
•
e-Print:
- 1605.06350
•
DOI:
- 10.1103/PhysRevD.94.023506

[10]

Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction

Qiang Wu
(
- Zhejiang U. Tech.
)
,
Tao Zhu
(
- Zhejiang U. Tech. and
- Baylor U.
)
,
Anzhong Wang
(
- Zhejiang U. Tech. and
- Baylor U.
)

- Phys.Rev.D 97 (2018) 10, 103502
•
e-Print:
- 1707.08020
•
DOI:
- 10.1103/PhysRevD.97.103502

[11]

Perturbation, non-Gaussianity, and reheating in a Gauss-Bonnet $\alpha$ -attractor model

- Phys.Rev.D 95 (2017) 12, 123518
•
e-Print:
- 1705.02617
•
DOI:
- 10.1103/PhysRevD.95.123518

[12]

Slow-roll inflation with a Gauss-Bonnet correction

Zong-Kuan Guo
(
- Bielefeld U.
)
,
Dominik J. Schwarz
(
- Bielefeld U.
)

- Phys.Rev.D 81 (2010) 123520
•
e-Print:
- 1001.1897
•
DOI:
- 10.1103/PhysRevD.81.123520

[13]

Autonomous dynamical system approach for inflationary Gauss–Bonnet modified gravity

V.K. Oikonomou
(
)

- Int.J.Mod.Phys.D 27 (2018) 05, 1850059
•
e-Print:
- 1711.03389
•
DOI:
- 10.1142/S0218271818500591

[14]

Bounce universe from string-inspired Gauss-Bonnet gravity

Kazuharu Bamba
(
- Ochanomizu U., Tokyo (main) and
- Ochanomizu U.
)
,
Andrey N. Makarenko
(
- Tomsk Pedagogical Inst. and
- Tomsk State U.
)
,
Alexandr N. Myagky
(
- Tomsk Polytechnic U.
)
,
Sergei D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona
)

- JCAP 04 (2015) 001
•
e-Print:
- 1411.3852
•
DOI:
- 10.1088/1475-7516/2015/04/001

[14]

Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices

S.D. Odintsov
(
- ICREA, Barcelona and
- Barcelona, IEEC and
- Tomsk Pedagogical Inst.
)
,
V.K. Oikonomou
(
)

- Phys.Rev.D 98 (2018) 4, 044039
•
e-Print:
- 1808.05045
•
DOI:
- 10.1103/PhysRevD.98.044039

[15]

Reconstruction of general relativistic cosmological solutions in modified gravity theories

- Phys.Rev.D 100 (2019) 2, 023511
•
e-Print:
- 1903.03974
•
DOI:
- 10.1103/PhysRevD.100.023511

[16]

Gauss-Bonnet dark energy

- Phys.Rev.D 71 (2005) 123509
•
e-Print:
- hep-th/0504052
•
DOI:
- 10.1103/PhysRevD.71.123509

[17]

The Fate of (phantom) dark energy universe with string curvature corrections

M. Sami
(
- IUCAA, Pune
)
,
Alexey Toporensky
(
- Sternberg Astron. Inst.
)
,
Peter V. Tretjakov
(
- Sternberg Astron. Inst.
)
,
Shinji Tsujikawa
(
- Gunma Coll. Tech.
)

- Phys.Lett.B 619 (2005) 193
•
e-Print:
- hep-th/0504154
•
DOI:
- 10.1016/j.physletb.2005.06.017

[18]

Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem

Guido Cognola
(
- Trento U. and
- INFN, Trento
)
,
Emilio Elizalde
(
- CSIC, Catalunya and
- Barcelona, IEEC
)
,
Shin'ichi Nojiri
(
- Japan, Natl. Defence Academy
)
,
Sergei D. Odintsov
(
- CSIC, Catalunya and
- Barcelona, IEEC and
- ICREA, Barcelona
)
,
Sergio Zerbini
(
- Trento U. and
- INFN, Trento
)

- Phys.Rev.D 73 (2006) 084007
•
e-Print:
- hep-th/0601008
•
DOI:
- 10.1103/PhysRevD.73.084007

[19]

String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy

Guido Cognola
(
- Trento U. and
- INFN, Trento
)
,
Emilio Elizalde
(
- CSIC, Catalunya
)
,
Shin'ichi Nojiri
(
- Nagoya U.
)
,
Sergei Odintsov
(
- CSIC, Catalunya and
- ICREA, Barcelona
)
,
Sergio Zerbini
(
- Trento U. and
- INFN, Trento
)

- Phys.Rev.D 75 (2007) 086002
•
e-Print:
- hep-th/0611198
•
DOI:
- 10.1103/PhysRevD.75.086002

[20]

LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities

E. Elizalde
(
- ICE, Bellaterra
)
,
R. Myrzakulov
(
- Eurasian Nat. U., Astana
)
,
V.V. Obukhov
(
- Tomsk Pedagogical Inst.
)
,
D. Saez-Gomez
(
- ICE, Bellaterra
)

- Class.Quant.Grav. 27 (2010) 095007
•
e-Print:
- 1001.3636
•
DOI:
- 10.1088/0264-9381/27/9/095007

[21]

Observational constraints on Gauss–Bonnet cosmology

Micol Benetti
(
- Rio de Janeiro Observ.
)
,
Simony Santos da Costa
(
- Naples U. and
- Rio de Janeiro Observ.
)
,
Salvatore Capozziello
(
- Gran Sasso and
- INFN, Naples and
- Naples U. and
- Presov U.
)
,
Jailson S. Alcaniz
(
- McGill U. and
- Rio de Janeiro Observ. and
- Rio Grande do Norte U.
)
,
Mariafelicia De Laurentis
(
- INFN, Naples and
- Frankfurt U. and
- Tomsk Pedagogical Inst. and
- TUSUR, Tomsk
)

- Int.J.Mod.Phys.D 27 (2018) 08, 1850084,
- Int.\ J.\ Mod.\ Phys.\ D {\bf 27}, no. 08, 1850084 (2018)
•
e-Print:
- 1803.00895
•
DOI:
- 10.1142/S0218271818500840

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