Built on

D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
K. S. Stelle, “Renormalization of Higher Derivative Quantum Gravity,” Phys. Rev. D 16
1977
Earlier work this paper cites.
A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. B 91
1980
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, “The Quartic Effective Action for the Heterotic String,” Nucl. Phys. B 291
1987
Earlier work this paper cites.
P. D. Mannheim and D. Kazanas, “Exact Vacuum Solution to Conformal Weyl Gravity and Galactic Rotation Curves,” Astrophys. J. 342
1989
Earlier work this paper cites.
N. Deruelle and L. Farina-Busto, “The Lovelock Gravitational Field Equations in Cosmology,” Phys. Rev. D 41
1990
Earlier work this paper cites.
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2002
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, “Modified Gauss-Bonnet theory as gravitational alternative for dark energy,” Phys. Lett. B 631
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E. J. Copeland, M. Sami and S. Tsujikawa, “Dynamics of dark energy,” Int. J. Mod. Phys. D 15
2006
Earlier work this paper cites.
E. E. Flanagan, “Fourth order Weyl gravity,” Phys. Rev. D 74
2006
Earlier work this paper cites.
M. Bartelmann, M. Doran and C. Wetterich, “Non-linear structure formation in cosmologies with early dark energy,” Astron. Astrophys. 454
2006
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, “Introduction to modified gravity and gravitational alternative for dark energy,” Int. J. Geom. Meth. Mod. Phys. 04
2007
Earlier work this paper cites.
A. De Felice and S. Tsujikawa, “Construction of cosmologically viable f(G) dark energy models,” Phys. Lett. B 675
Original
2009
Earlier work this paper cites.

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2019

Cosmology in cubic and $f(P)$ gravity

Erices, Cristian, Papantonopoulos, Eleftherios, Saridakis, Emmanuel N.

Understand

We construct cubic gravity and its $f(P)$ extension and we investigate their early- and late-time cosmological applications.

Cubic gravity is based on a particular invariant $P$, constructed from cubic contractions of the Riemann tensor, under three requirements: (i) the resulting theory possesses a spectrum identical to that of general relativity, (ii) it is neither topological nor trivial in four dimensions, and (iii) it is defined such that it is independent of the dimensions.
Relaxing the last condition and restricting the parameters of cubic gravity we can obtain second-order field equations in a cosmological background.
We show that at early times one can obtain inflationary, de Sitter solutions, which are driven by an effective cosmological constant constructed purely from the cubic terms of the simple cubic or $f(P)$ gravity.

Built on

D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
K. S. Stelle, “Renormalization of Higher Derivative Quantum Gravity,” Phys. Rev. D 16
1977
Earlier work this paper cites.
A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. B 91
1980
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, “The Quartic Effective Action for the Heterotic String,” Nucl. Phys. B 291
1987
Earlier work this paper cites.
P. D. Mannheim and D. Kazanas, “Exact Vacuum Solution to Conformal Weyl Gravity and Galactic Rotation Curves,” Astrophys. J. 342
1989
Earlier work this paper cites.
N. Deruelle and L. Farina-Busto, “The Lovelock Gravitational Field Equations in Cosmology,” Phys. Rev. D 41
1990
Earlier work this paper cites.
S. Capozziello, “Curvature quintessence,” Int. J. Mod. Phys. D 11
2002
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, “Modified Gauss-Bonnet theory as gravitational alternative for dark energy,” Phys. Lett. B 631
2005
Earlier work this paper cites.
E. J. Copeland, M. Sami and S. Tsujikawa, “Dynamics of dark energy,” Int. J. Mod. Phys. D 15
2006
Earlier work this paper cites.
E. E. Flanagan, “Fourth order Weyl gravity,” Phys. Rev. D 74
2006
Earlier work this paper cites.
M. Bartelmann, M. Doran and C. Wetterich, “Non-linear structure formation in cosmologies with early dark energy,” Astron. Astrophys. 454
2006
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, “Introduction to modified gravity and gravitational alternative for dark energy,” Int. J. Geom. Meth. Mod. Phys. 04
2007
Earlier work this paper cites.
A. De Felice and S. Tsujikawa, “Construction of cosmologically viable f(G) dark energy models,” Phys. Lett. B 675
Original
2009
Earlier work this paper cites.