Living Reviews in Relativity

"f (R) Theories"
by
Antonio De Felice and Shinji Tsujikawa  

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Abstract
1 Introduction
2 Field Equations in the Metric Formalism
3 Inflation in f (R) Theories
4 Dark Energy in f (R) Theories
5 Local Gravity Constraints
6 Cosmological Perturbations
7 Perturbations Generated During Inflation
8 Observational Signatures of Dark Energy Models in f (R) Theories
9 Palatini Formalism
10 Extension to Brans–Dicke Theory
11 Relativistic Stars in f (R) Gravity and Chameleon Theories
12 Gauss–Bonnet Gravity
13 Other Aspects of f (R) Theories and Modified Gravity
14 Conclusions
15 Acknowledgements
Open References References
Footnotes
Figures
Tables