Weak Field Approach in f(R)-Gravity

2010/10/01 by A. Stabile, Salvatore Capozzıello, Stabile, A. +1
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements

paper · pdf · doi:10.48550/arxiv.1010.0099

openalex publication_date 2010/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this communication we discuss the Weak Field Approach, and in particular the Newtonian limit, applied to f(R)-Gravity. Particular emphasis is placed on the spherically symmetric solutions and finally, it is clearly shown that General Relativity results, in the Solar System context, are easily recovered since Einstein theory is a particular case of f(R)-Gravity. This is a crucial point against several wrong results in literature stating that these theories are not viable at local scales.

Related

• The Weak Field Limit of Higher Order Gravity
• The Weak Field Limit of Fourth Order Gravity
• An overview of f(R) theories
• The Cauchy problem for f(R)-gravity: an overview
• f(R) gravity: successes and challenges