Generalized Galileon cosmology

Antonio De Felice*, Shinji Tsujikawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

127 Citations (Scopus)


We study the cosmology of a generalized Galileon field with five covariant Lagrangians in which is replaced by general scalar functions f i (i=1,⋯,5). For these theories, the equations of motion remain at second order in time derivatives. We constrain the forms of the functions f i from the requirement to possess de Sitter solutions responsible for dark energy. There are two possible choices for power-law functions f i, depending on whether the coupling F with the Ricci scalar R is independent of or depends on. The former corresponds to the covariant Galileon theory that respects the Galilean symmetry in the Minkowski space-time. For generalized Galileon theories we derive the conditions for the avoidance of ghosts and Laplacian instabilities associated with scalar and tensor perturbations as well as the condition for the stability of de Sitter solutions. We also carry out a detailed analytic and numerical study for the cosmological dynamics in those theories.

Original languageEnglish
Article number124029
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
Publication statusPublished - 2011 Dec 14
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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