The phase-space view of f ( R ) gravity

2007/06/30 by Jose C. C. de Souza, J. C. C. de Souza, Valerio Faraoni · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/14/006

published as Class.Quant.Grav.24:3637-3648,2007 · 14 pages, 2 figures, published in Classical and Quantum Gravity; references added

arxiv created 2007/07/04 · openalex publication_date 2007/07/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We study the geometry of the phase space of spatially flat Friedmann–Lemaitre–Robertson–Walker models in f ( R ) gravity, for a general form of the function f ( R ). The equilibrium points (de Sitter spaces) and their stability are discussed, and a comparison is made with the phase space of the equivalent scalar-tensor theory. New effective Lagrangians and Hamiltonians are also presented.

Citations

• First Estimations of Cosmological Parameters From BOOMERANG
• TWO-LOOP APPROACH TO THE EFFECTIVE ACTION IN QUANTUM GRAVITY
• Conditions for the cosmological viability off(R)dark energy models
• Mach's Principle and a Relativistic Theory of Gravitation
• Spherically symmetric spacetimes inf(R)gravity theories
• Ghost constraints on modified gravity
• Stability of modified gravity models
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• THE EVOLUTION OF THE UNIVERSE WITH THE B–I TYPE PHANTOM SCALAR FIELD
• Solar system testsdorule out1/Rgravity
• Renormalization of higher-derivative quantum gravity
• Generalized phantom energy

Cited by

• Observational signatures off(R)dark energy models that satisfy cosmological and local gravity constraints
• Noether symmetry in f(R) cosmology
• Black hole solutions inf(R)gravity coupled with nonlinear Yang-Mills field