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

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.

7 pages, 1 figure. Version accepted for publication as a Fast Track Communication in CQG

References in corpus (3)

• Analytical representations of unified equations of state of neutron-star matter
• Violation of the Equivalence Principle in Modified Theories of Gravity
• Spherically symmetric spacetimes in f(R) gravity theories

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• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity