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Polytropic spheres in Palatini f(R) gravity

Published online by Cambridge University Press:  30 September 2008

E. Barausse
Affiliation:
SISSA, International School for Advanced Studies, via Beirut 2-4, 34014 Trieste, Italy and INFN, Sezione di Trieste
T.P. Sotiriou
Affiliation:
SISSA, International School for Advanced Studies, via Beirut 2-4, 34014 Trieste, Italy and INFN, Sezione di Trieste Department of Physics, University of Maryland, College Park, MD 20742-4111, USA
J.C. Miller
Affiliation:
SISSA, International School for Advanced Studies, via Beirut 2-4, 34014 Trieste, Italy and INFN, Sezione di Trieste Department of Physics (Astrophysics), University of Oxford, Oxford, UK
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Abstract

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.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2008

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References

Barausse, E., Sotiriou, T.P., & Miller, J.C., 2007 [arXiv:gr-qc/0703132]
Barausse, E., Sotiriou, T.P., & Miller, J.C., in preparation
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Sotiriou, T.P., 2006, Class. Quant. Grav., 23, 1253 CrossRef
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