2010/01/31 by Masud Chaichian, Shin'ichi Nojiri, Sergei D. Odintsov +3 · 2 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmological model #Cosmology #Cosmology and Gravitation Theories #De Sitter universe #Formalism (music) #Friedmann–Lemaître–Robertson–Walker metric #Gravitation #Hamiltonian (control theory) #Invariant (physics) #Noncommutative and Quantum Gravity Theories #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/27/18/185021
published as Class.Quant.Grav.27:185021,2010 · LaTeX 11 pages. v4: Some errors have been corrected
openalex publication_date 2010/08/10 · arxiv created 2012/06/05 · arxiv updated 2012/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a general approach for the construction of modified gravity which is invariant under foliation-preserving diffeomorphisms. Special attention is paid to the formulation of a modified F ( R ) Hořava–Lifshitz gravity (FRHL), whose Hamiltonian structure is studied. It is demonstrated that the spatially flat FRW equations of FRHL are consistent with the constraint equations. The analysis of de Sitter solutions for several versions of FRHL indicates that the unification of the early-time inflation with the late-time acceleration is possible. It is shown that a special choice of parameters for FRHL leads to the same spatially flat FRW equations as in the case of the traditional F ( R )-gravity. Finally, an essentially most general modified Hořava–Lifshitz gravity is proposed, motivated by its fully diffeomorphism-invariant counterpart, with the restriction that the action does not contain derivatives higher than the second order with respect to the time coordinate.