Built on

T. Helpin and M. S. Volkov, Varying the Horndeski Lagrangian within the Palatini approach , JCAP 01, 044 (2020) [ 1906.07607 ]
Original
1906
Earlier work this paper cites.
S. D. Odintsov and V. K. Oikonomou, Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817 , Phys. Lett. B 797, 134874 (2019) [ 1908.07555 ]
Original
1908
Earlier work this paper cites.
T. Helpin and M. S. Volkov, A metric-affine version of the Horndeski theory , Int. J. Mod. Phys. A 35, 02n03, 2040010 (2020) [ 1911.12768 ]
Original
1911
Earlier work this paper cites.
J. A. Schouten, Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications , Springer-Verlag , Berlin and Heidelberg (1954)
1954
Earlier work this paper cites.
S. Tsujikawa, Quintessence: A Review , Class. Quant. Grav. 30, 214003 (2013) [ 1304.1961 ]
Original
1961
Earlier work this paper cites.
G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space , Int. J. Theor. Phys. 10, 363-384 (1974)
1974
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity , Phys. Lett. B 91, 99-102 (1980)
1980
Earlier work this paper cites.
A. H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems , Phys. Rev. D 23 347-356 (1981)
1981
Earlier work this paper cites.
A. D. Linde, A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems , Phys. Lett. B 108 389-393 (1982)
1982
Earlier work this paper cites.
S. Weinberg, The Cosmological Constant Problem , Rev. Mod. Phys. 61, 1-23 (1989)
1989
Earlier work this paper cites.
A. G. Riess et al
1998
Earlier work this paper cites.
R. R. Caldwell, R. Dave and P. J. Steinhardt, Cosmological imprint of an energy component with general equation of state , Phys. Rev. Lett. 80, 1582-1585 (1998) [ astro-ph/9708069 ]
1998
Earlier work this paper cites.
E. J. Copeland, A. R. Liddle and D. Wands, Exponential potentials and cosmological scaling solutions , Phys. Rev. D 57, 4686-4690 (1998) [ gr-qc/9711068 ]
1998
Earlier work this paper cites.
P. G. Ferreira and M. Joyce, Cosmology with a primordial scaling field , Phys. Rev. D 58, 023503 (1998) [ astro-ph/9711102 ]
1998
Earlier work this paper cites.
S. Perlmutter et al
1999
Earlier work this paper cites.
I. Zlatev, Li-Min Wang and P. J. Steinhardt, Quintessence, cosmic coincidence, and the cosmological constant , Phys. Rev. Lett. 82, 896-899 (1999) [ astro-ph/9807002 ]
1999
Earlier work this paper cites.
P. J. E. Peebles and A. Vilenkin, Quintessential inflation , Phys. Rev. D 59, 063505 (1999) [ astro-ph/9810509 ]
1999
Earlier work this paper cites.
S. Weinberg, The Cosmological constant problems , Contribution to 4th International Symposium on Sources and Detection of Dark Matter in the Universe (DM 2000) (2000) [ astro-ph/0005265 ]
2000
Earlier work this paper cites.
T. Barreiro, E. J. Copeland and N. J. Nunes, Quintessence arising from exponential potentials , Phys. Rev. D 61, 127301 (2000) [ astro-ph/9910214 ]
2000
Earlier work this paper cites.
S. M. Carroll, The Cosmological constant , Living Rev. Rel. 4, 1 (2001) [ astro-ph/0004075 ]
2001
Earlier work this paper cites.
K. Dimopoulos and J. W. F. Valle, Modeling Quintessential Inflation , Astropart. Phys. 18 287-306 (2002) [ astro-ph/0111417 ]
2002
Earlier work this paper cites.
S. Capozziello, Curvature quintessence , Int. J. Mod. Phys. D 11, 483-492 (2002) [ gr-qc/0201033 ]
2002
Earlier work this paper cites.
S. D. Odintsov, V. K. Oikonomou and F. P. Fronimos, Rectifying Einstein-Gauss-Bonnet Inflation in View of GW170817 , Nucl. Phys. B 958, 115135 (2020) [ 2003.13724 ]
Original
2003
Earlier work this paper cites.
S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Is cosmic speed - up due to new gravitational physics? , Phys. Rev. D 70, 043528 (2004) [ astro-ph/0306438 ]
2004
Earlier work this paper cites.
S. D. Odintsov and V. K. Oikonomou, Swampland implications of GW170817-compatible Einstein-Gauss-Bonnet gravity , Phys. Lett. B 805, 135437 (2020) [ 2004.00479 ]
Original
2004
Earlier work this paper cites.

Similar

H. Mohseni Sadjadi, On cosmic acceleration in four dimensional Einstein-Gauss-Bonnet gravity , Phys. Dark Univ. 30, 100728 (2020) [ 2005.10024 ]
Original
2005
Cited alongside, same era.
S. Nojiri, S. D. Odintsov and M. Sasaki, Gauss-Bonnet dark energy , Phys. Rev. D 71, 123509 (2005) [ hep-th/0504052 ]
2005
Cited alongside, same era.
E. J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy , Int. J. Mod. Phys. D 15, 1753-1936 (2006) [ hep-th/0603057 ]
2006
Cited alongside, same era.
T. Koivisto and D. F. Mota, Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints , Phys. Rev. D 75, 023518 (2006) [ hep-th/0609155 ]
2006
Cited alongside, same era.
K. Dimopoulos, Can a vector field be responsible for the curvature perturbation in the Universe? , Phys. Rev. D 74, 083502 (2006) [ hep-ph/0607229 ]

Then

B. P. Abbott et al
Original
2017
Later among the works it cites.
J. Sakstein and B. Jain, Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories , Phys. Rev. Lett. 119, 25, 251303 (2017) [ 1710.05893 ]
Original
2017
Later among the works it cites.
J. M. Ezquiaga and M. Zumalacárregui, Dark Energy After GW170817: Dead Ends and the Road Ahead , Phys. Rev. Lett. 119, 25, 251304 (2017) [ 1710.05901 ]
Original
2017
Later among the works it cites.
T. Baker, E. Bellini, P. G. Ferreira, M. Lagos, J. Noller and I. Sawicki, Strong Constraints on Cosmological Gravity from GW170817 and GRB 170817A , Phys. Rev. Lett. 119, 25, 251301 (2017) [ 1710.06394 ]
Original
2017
Later among the works it cites.
P. Creminelli and F. Vernizzi, Dark Energy after GW170817 and GRB170817A , Phys. Rev. Lett. 119, 25, 251302 (2017) [ 1710.05877 ]

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2023

Quintessence in the Weyl-Gauss-Bonnet model

Díaz, José Jaime Terente, Dimopoulos, Konstantinos, Karčiauskas, Mindaugas et al.

Understand

Quintessence models have been widely examined in the context of scalar-Gauss-Bonnet gravity, a subclass of Horndeski's theory, and were proposed as viable candidates for Dark Energy.

However, the relatively recent observational constraints on the speed of gravitational waves $c_{\textrm{GW}}$ have resulted in many of those models being ruled out because they predict $c_{\textrm{GW}} \neq c$ generally.
While these were formulated in the metric formalism of gravity, we put forward a new quintessence model with the scalar-Gauss-Bonnet action but in Weyl geometry, where the connection is not metric compatible.
We find the fixed points of the dynamical system under some assumptions and determine their stability via linear analysis.

Built on

T. Helpin and M. S. Volkov, Varying the Horndeski Lagrangian within the Palatini approach , JCAP 01, 044 (2020) [ 1906.07607 ]
Original
1906
Earlier work this paper cites.
S. D. Odintsov and V. K. Oikonomou, Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817 , Phys. Lett. B 797, 134874 (2019) [ 1908.07555 ]
Original
1908
Earlier work this paper cites.
T. Helpin and M. S. Volkov, A metric-affine version of the Horndeski theory , Int. J. Mod. Phys. A 35, 02n03, 2040010 (2020) [ 1911.12768 ]
Original
1911
Earlier work this paper cites.
J. A. Schouten, Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications , Springer-Verlag , Berlin and Heidelberg (1954)
1954
Earlier work this paper cites.
S. Tsujikawa, Quintessence: A Review , Class. Quant. Grav. 30, 214003 (2013) [ 1304.1961 ]
Original
1961
Earlier work this paper cites.
G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space , Int. J. Theor. Phys. 10, 363-384 (1974)
1974
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity , Phys. Lett. B 91, 99-102 (1980)
1980
Earlier work this paper cites.
A. H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems , Phys. Rev. D 23 347-356 (1981)
1981
Earlier work this paper cites.
A. D. Linde, A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems , Phys. Lett. B 108 389-393 (1982)
1982
Earlier work this paper cites.
S. Weinberg, The Cosmological Constant Problem , Rev. Mod. Phys. 61, 1-23 (1989)
1989
Earlier work this paper cites.
A. G. Riess et al
1998
Earlier work this paper cites.
R. R. Caldwell, R. Dave and P. J. Steinhardt, Cosmological imprint of an energy component with general equation of state , Phys. Rev. Lett. 80, 1582-1585 (1998) [ astro-ph/9708069 ]
1998
Earlier work this paper cites.
E. J. Copeland, A. R. Liddle and D. Wands, Exponential potentials and cosmological scaling solutions , Phys. Rev. D 57, 4686-4690 (1998) [ gr-qc/9711068 ]
1998
Earlier work this paper cites.
P. G. Ferreira and M. Joyce, Cosmology with a primordial scaling field , Phys. Rev. D 58, 023503 (1998) [ astro-ph/9711102 ]
1998
Earlier work this paper cites.
S. Perlmutter et al
1999
Earlier work this paper cites.
I. Zlatev, Li-Min Wang and P. J. Steinhardt, Quintessence, cosmic coincidence, and the cosmological constant , Phys. Rev. Lett. 82, 896-899 (1999) [ astro-ph/9807002 ]
1999
Earlier work this paper cites.
P. J. E. Peebles and A. Vilenkin, Quintessential inflation , Phys. Rev. D 59, 063505 (1999) [ astro-ph/9810509 ]
1999
Earlier work this paper cites.
S. Weinberg, The Cosmological constant problems , Contribution to 4th International Symposium on Sources and Detection of Dark Matter in the Universe (DM 2000) (2000) [ astro-ph/0005265 ]
2000
Earlier work this paper cites.
T. Barreiro, E. J. Copeland and N. J. Nunes, Quintessence arising from exponential potentials , Phys. Rev. D 61, 127301 (2000) [ astro-ph/9910214 ]
2000
Earlier work this paper cites.
S. M. Carroll, The Cosmological constant , Living Rev. Rel. 4, 1 (2001) [ astro-ph/0004075 ]
2001
Earlier work this paper cites.
K. Dimopoulos and J. W. F. Valle, Modeling Quintessential Inflation , Astropart. Phys. 18 287-306 (2002) [ astro-ph/0111417 ]
2002
Earlier work this paper cites.
S. Capozziello, Curvature quintessence , Int. J. Mod. Phys. D 11, 483-492 (2002) [ gr-qc/0201033 ]
2002
Earlier work this paper cites.
S. D. Odintsov, V. K. Oikonomou and F. P. Fronimos, Rectifying Einstein-Gauss-Bonnet Inflation in View of GW170817 , Nucl. Phys. B 958, 115135 (2020) [ 2003.13724 ]
Original
2003
Earlier work this paper cites.
S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Is cosmic speed - up due to new gravitational physics? , Phys. Rev. D 70, 043528 (2004) [ astro-ph/0306438 ]
2004
Earlier work this paper cites.
S. D. Odintsov and V. K. Oikonomou, Swampland implications of GW170817-compatible Einstein-Gauss-Bonnet gravity , Phys. Lett. B 805, 135437 (2020) [ 2004.00479 ]
Original
2004
Earlier work this paper cites.

Similar

H. Mohseni Sadjadi, On cosmic acceleration in four dimensional Einstein-Gauss-Bonnet gravity , Phys. Dark Univ. 30, 100728 (2020) [ 2005.10024 ]
Original
2005
Cited alongside, same era.
S. Nojiri, S. D. Odintsov and M. Sasaki, Gauss-Bonnet dark energy , Phys. Rev. D 71, 123509 (2005) [ hep-th/0504052 ]
2005
Cited alongside, same era.
E. J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy , Int. J. Mod. Phys. D 15, 1753-1936 (2006) [ hep-th/0603057 ]
2006
Cited alongside, same era.
T. Koivisto and D. F. Mota, Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints , Phys. Rev. D 75, 023518 (2006) [ hep-th/0609155 ]
2006
Cited alongside, same era.
K. Dimopoulos, Can a vector field be responsible for the curvature perturbation in the Universe? , Phys. Rev. D 74, 083502 (2006) [ hep-ph/0607229 ]

Then

B. P. Abbott et al
Original
2017
Later among the works it cites.
J. Sakstein and B. Jain, Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories , Phys. Rev. Lett. 119, 25, 251303 (2017) [ 1710.05893 ]
Original
2017
Later among the works it cites.
J. M. Ezquiaga and M. Zumalacárregui, Dark Energy After GW170817: Dead Ends and the Road Ahead , Phys. Rev. Lett. 119, 25, 251304 (2017) [ 1710.05901 ]
Original
2017
Later among the works it cites.
T. Baker, E. Bellini, P. G. Ferreira, M. Lagos, J. Noller and I. Sawicki, Strong Constraints on Cosmological Gravity from GW170817 and GRB 170817A , Phys. Rev. Lett. 119, 25, 251301 (2017) [ 1710.06394 ]
Original
2017
Later among the works it cites.
P. Creminelli and F. Vernizzi, Dark Energy after GW170817 and GRB170817A , Phys. Rev. Lett. 119, 25, 251302 (2017) [ 1710.05877 ]

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2006

Cited alongside, same era.

T. Koivisto and D. F. Mota, Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy , Phys. Lett. B 644, 104-108 (2007) [ astro-ph/0606078 ]

2007

Cited alongside, same era.

M. Borunda, B. Janssen and M. Bastero-Gil, Palatini versus metric formulation in higher curvature gravity , JCAP 11, 008 (2008) [ 0804.4440 ]