Polytropic spheres in Palatini f(R) gravity
classification
🌀 gr-qc
keywords
gravitypalatinipolytropicspheresalternativecasescastingdegenerate
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We examine static spherically symmetric polytropic spheres in Palatini f(R) gravity and show that no regular solutions to the field equations exist for physically relevant cases such as a monatomic isentropic gas or a degenerate electron gas, thus casting doubt on the validity of Palatini f(R) gravity as an alternative to General Relativity.
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