Built on

J. de Haro and Y. F. Cai, Gen. Rel. Grav. 47
Original
1936
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15
1977
Earlier work this paper cites.
F. J. Tipler, Annals Phys. 108
1977
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, Nucl. Phys. B 291
1987
Earlier work this paper cites.
R. C. Myers, Phys. Rev. D 36
1987
Earlier work this paper cites.
K. i. Maeda, Phys. Rev. D 39
1989
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Rev. D 68
2003
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and M. Sasaki, Phys. Rev. D 71
2005
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Lett. B 631
2005
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and M. Sami, Phys. Rev. D 74
2006
Earlier work this paper cites.
G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, Phys. Rev. D 73
2006
Earlier work this paper cites.
B. M. Leith and I. P. Neupane, JCAP 0705
2007
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2018

Ghost-free Gauss-Bonnet Theories of Gravity

Nojiri, S., Odintsov, S. D., Oikonomou, V. K.

Understand

In this work we develop a theoretical framework for Gauss-Bonnet modified gravity theories, in which ghost modes can be eliminated at the equations of motion level.

Particularly, after we present how the ghosts can occur at the level of equations of motion, we employ the Lagrange multipliers technique, and by means of constraints we are able to eliminate the ghost modes from Gauss-Bonnet theories of the form $f(\mathcal{G})$ and $F(R,\mathcal{G})$ types.
Some cosmological realizations in the context of the ghost free $f(\mathcal{G})$ gravity are presented, by using the reconstruction technique we developed.
Finally, we explore the modifications to the Newton law of gravity generated by the ghost-free $f(\mathcal{G})$ theory.

Built on

J. de Haro and Y. F. Cai, Gen. Rel. Grav. 47
Original
1936
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15
1977
Earlier work this paper cites.
F. J. Tipler, Annals Phys. 108
1977
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, Nucl. Phys. B 291
1987
Earlier work this paper cites.
R. C. Myers, Phys. Rev. D 36
1987
Earlier work this paper cites.
K. i. Maeda, Phys. Rev. D 39
1989
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Rev. D 68
2003
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and M. Sasaki, Phys. Rev. D 71
2005
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Lett. B 631
2005
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and M. Sami, Phys. Rev. D 74
2006
Earlier work this paper cites.
G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, Phys. Rev. D 73
2006
Earlier work this paper cites.
B. M. Leith and I. P. Neupane, JCAP 0705
2007
Earlier work this paper cites.