Homogeneous Cosmologies in Generalized Modified Gravity

2008/02/27 by Guido Cognola, Sergio Zerbini
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Dynamical systems theory #Generalization #Gravitation #Homogeneous #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Stability (learning theory) #Statistical physics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1007/s10773-008-9754-6

published as Int.J.Theor.Phys.47:3186-3200,2008 · 13 pages, no figures

arxiv created 2008/02/27 · openalex publication_date 2008/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Dynamical system methods are used in the study of the stability of spatially flat homogeneous cosmologies within a large class of generalized modified gravity models in the presence of a relativistic matter-radiation fluid. The present approach can be considered as the generalization of previous works in which only F(R) cases were considered. Models described by an arbitrary function of all possible geometric invariants are investigated and general equations giving all critical points are derived.

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