PO LYTRO PIC SPH ERES IN PALATIN I F(R) GRAVITY

W eexam inestaticspherically sym m etricpolytropicspheres in Palatini f(R) gravity and show that no regular solutions to the �eld equationsexistforphysically relevantcasessuch asa m onatom ic isentropic gasora degenerate electron gas,thuscasting doubton the validity ofPalatini f(R)gravity asan alternativetoG eneralRelativity.