2006/04/30 by Thomas P. Sotiriou · 372 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Formalism (music) #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Parameterized post-Newtonian formalism #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar–tensor theory #Theoretical physics #astro-ph #f(R) gravity #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/23/17/003
published in Classical and Quantum Gravity 23(17), 5117-5128 (IOP Publishing) · minor changes to match published version, references added
openalex publication_date 2006/08/04 · arxiv created 2006/08/05 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the present paper we will investigate the relation between scalar-tensor theory and f(R) theories of gravity. Such studies have been performed in the past for the metric formalism of f(R) gravity; here we will consider mainly the Palatini formalism, where the metric and the connections are treated as independent quantities. We will try to investigate under which circumstances f(R) theories of gravity are equivalent to scalar-tensor theory and examine the implications of this equivalence, when it exists.