### Citations

129 |
Anco, Symmetry and Integration Methods for Differential Equations
- Bluman, C
- 2002
(Show Context)
Citation Context ... generalized in order to incorporate corrections to the Ricci scalar term as the ... |

54 |
Cosmology in Scalar-Tensor Gravity,
- Faraoni
- 2004
(Show Context)
Citation Context ...ions.emethods employed allow us to obtain general results that are valid not only for the FRWmetric, but also for all the Bianchi types as well as for the Kantowski-Sachs model (under the self-similarity hypothesis and the power-law hypothesis for the scale factors). 1. Introduction e physical and mathematical importance of the modi�ed gravitationalmodels has been recently pointed out for several authors (see, e.g., [1–4]), since this kind of theories explains in a better way the dynamics of the very early universe as well as its current acceleration. In a recent paper [5] (for a review see [6]), we have studied some particular cases of the so-called generalized scalar-tensor theories (STTs or... |

47 | Beyond Einstein Gravity: A Survey of Gravitationaleories for Cosmology andAstrophysics, - Capozziello, Faraoni - 2011 |

46 | Dynamical Systems and Cosmology,
- Coley
- 2003
(Show Context)
Citation Context ...way, we shall be able to state and proof general theorems that are valid not only for the FRW symmetries, otherwise for all kind of Bianchi types as well as for the Kantowski-Sach models. e self-similarity property of a space-time is characterized by the existence of a homothetic vector �eld ℋ (HVF). For a metric, ... |

28 | Modified Gravity and Cosmology. - Clifton, Ferreira, et al. - 2012 |

15 | Modi�ed gravity and its reconstruction from the universe expansion history,” - Nojiri, Odintsov - 2007 |

13 |
Self-similarity in general relativity,”
- Carr, Coley
- 1999
(Show Context)
Citation Context ...it self-similar solutions. To carry out our study, we employ two techniques: the Lie group method (LG) [11] and the matter collineation approach (MC) [12]. In this way, we shall be able to state and proof general theorems that are valid not only for the FRW symmetries, otherwise for all kind of Bianchi types as well as for the Kantowski-Sach models. e self-similarity property of a space-time is characterized by the existence of a homothetic vector �eld ℋ (HVF). For a metric, ... |

3 | Modi�ed gravity as an alternative for ΛCDM cosmology,” - Nojiri, Odintsov - 2007 |

3 |
Spacetimes with a transitive similarity group,”
- Rosquist, Jantzen
- 1985
(Show Context)
Citation Context ...d (LG) [11] and the matter collineation approach (MC) [12]. In this way, we shall be able to state and proof general theorems that are valid not only for the FRW symmetries, otherwise for all kind of Bianchi types as well as for the Kantowski-Sach models. e self-similarity property of a space-time is characterized by the existence of a homothetic vector �eld ℋ (HVF). For a metric, ... |

3 |
Uni�ed analysis of cosmological perturbations in generalized gravity,”
- Hwang
- 1996
(Show Context)
Citation Context ... In the same way, Coley [15] has stressed the fact that this kind of solutions describes asymptotic behaviour of the Bianchi models playing a dominant role in the dynamics of Bianchi cosmological models (see, e.g., [16] for a review of results in the context of the general relativity). e paper is organized as follows. In Section 2 we study through the LG method the ... |

2 | Generalized self-similar scalar-tensor theories,”e
- Belinchón
- 2012
(Show Context)
Citation Context ...mit self-similar solutions.emethods employed allow us to obtain general results that are valid not only for the FRWmetric, but also for all the Bianchi types as well as for the Kantowski-Sachs model (under the self-similarity hypothesis and the power-law hypothesis for the scale factors). 1. Introduction e physical and mathematical importance of the modi�ed gravitationalmodels has been recently pointed out for several authors (see, e.g., [1–4]), since this kind of theories explains in a better way the dynamics of the very early universe as well as its current acceleration. In a recent paper [5] (for a review see [6]), we have studied some particular cases of the so-called generalized scalar-tensor theories (STTs or... |

1 |
Uni�ed cosmic history in modi�ed gravity: from
- Nojiri, Odintsov
- 2011
(Show Context)
Citation Context ...odels admit power-law and in particular self-similar solutions. As we have shown, for different values of ... |

1 | Dark Energy. eory and Observations, - Amendola, Tsujikawa - 2010 |

1 | Class of viable modi�ed - Cognola, Elizalde, et al. - 2008 |

1 |
unknown title
- Felice, Tsujikawa
- 2010
(Show Context)
Citation Context ...s been recently pointed out for several authors (see, e.g., [1–4]), since this kind of theories explains in a better way the dynamics of the very early universe as well as its current acceleration. In a recent paper [5] (for a review see [6]), we have studied some particular cases of the so-called generalized scalar-tensor theories (STTs or... |

1 |
Symmetries andCurvature inGeneral Relativity, Lecture Notes in Physics, World Scienti�c,
- Hall
- 2004
(Show Context)
Citation Context ...s to the Ricci scalar term as the ... |

1 |
Extended quintessence,” Physical Review D,
- Perrotta, Baccigalupi, et al.
- 1999
(Show Context)
Citation Context ... In the same way, Coley [15] has stressed the fact that this kind of solutions describes asymptotic behaviour of the Bianchi models playing a dominant role in the dynamics of Bianchi cosmological models (see, e.g., [16] for a review of results in the context of the general relativity). e paper is organized as follows. In Section 2 we study through the LG method the ... |

1 |
Power-law cosmic expansion in
- Goheer, Larena, et al.
- 2009
(Show Context)
Citation Context ...tational �eld equations derived from the action (23) are [1]: ... |