A no-go theorem for polytropic spheres in Palatini f ( R ) gravity

2007/03/31 by Enrico Barausse, Thomas P. Sotiriou, John C. Miller · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/25/6/062001

published as Class.Quant.Grav.25:062001,2008 · 7 pages, 1 figure. Version accepted for publication as a Fast Track Communication in CQG

arxiv created 2008/01/31 · openalex publication_date 2008/03/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

Non-vacuum static spherically symmetric solutions in Palatini f ( R ) gravity are examined. It is shown that for generic choices of f ( R ), there are commonly used equations of state for which no satisfactory physical solution of the field equations can be found within this framework, apart from in the special case of general relativity, casting doubt on whether Palatini f ( R ) gravity can be considered as giving viable alternatives to general relativity.

Citations

• Violation of the Equivalence Principle in Modified Theories of Gravity
• The Gravity Lagrangian According to Solar System Experiments
• Spherically symmetric spacetimes inf(R)gravity theories

Cited by

• Curvature singularities, tidal forces and the viability of Palatini f ( R ) gravity
• Polytropic spheres in Palatini f(R) gravity
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• Unifying Einstein and Palatini gravities
• FURTHER EXTENDED THEORIES OF GRAVITATION: PART II
• FURTHER EXTENDED THEORIES OF GRAVITATION: PART I
• f(R)theories of gravity