Built on

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M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494
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M. Sami, A. Toporensky, P. V. Tretjakov, S. Tsujikawa, Phys.Lett. B619
Original
2007
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2013

Gauss-Bonnet dark energy by Lagrange multipliers

Capozziello, Salvatore, Makarenko, Andrey N., Odintsov, Sergei D.

Understand

A string-inspired effective theory of gravity, containing Gauss-Bonnet invariant interacting with a scalar field, is considered in view of obtaining cosmological dark energy solutions.

A Lagrange multiplier is inserted into the action in order to achieve the cosmological reconstruction by selecting suitable forms of couplings and potentials.
Several cosmological exact solutions (including dark energy of quintessence, phantom or Little Rip type) are derived in presence and in absence of the Lagrange multiplier showing the difference in the two dynamical approaches.
In the models that we consider, the Lagrange multiplier behaves as a sort of dust fluid that realizes the transitions between matter dominated and dark energy epochs.

Built on

V. I. Arnold, Mathematical Methods of Classical Mechanics
1989
Earlier work this paper cites.
S. Capozziello, R. De Ritis, C. Rubano, P. Scudellaro, Riv.Nuovo Cim. 19, N4
1996
Earlier work this paper cites.
S. Capozziello, G. Marmo, C. Rubano, P. Scudellaro, Int. J. Mod. Phys. D 6
1997
Earlier work this paper cites.
I. Antoniadis, J. Rizos, K. Tamvakis, Nucl. Phys. B 415
1999
Earlier work this paper cites.
S. Capozziello, G. Lambiase, Grav. Cosmol. 6
Original
2000
Earlier work this paper cites.
M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494
2002
Earlier work this paper cites.
N. E. Mavromatos and J. Rizos, Phys. Rev. D 62
2003
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, M. Sasaki, Phys. Rev. D 71
2005
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, M. Sami, Phys. Rev. D74
2006
Earlier work this paper cites.
M. Sami, A. Toporensky, P. V. Tretjakov, S. Tsujikawa, Phys.Lett. B619
Original
2007
Earlier work this paper cites.