We shall here propose a class of relativistic theories of gravitation, based on a foundational paper of Ehlers Pirani and Schild (EPS). All “extended theories of gravitation” (also known as f(R) theories) in Palatini formalism are shown to belong to this class. In a forthcoming paper, we shall show that this class of theories contains other more general examples. EPS framework helps in the interpretation and solution of these models that however have exotic behaviors even compared to f(R) theories
Further Extended Theories of Gravitation: Part I
FATIBENE, Lorenzo;FERRARIS, Marco;FRANCAVIGLIA, Mauro
2010-01-01
Abstract
We shall here propose a class of relativistic theories of gravitation, based on a foundational paper of Ehlers Pirani and Schild (EPS). All “extended theories of gravitation” (also known as f(R) theories) in Palatini formalism are shown to belong to this class. In a forthcoming paper, we shall show that this class of theories contains other more general examples. EPS framework helps in the interpretation and solution of these models that however have exotic behaviors even compared to f(R) theories
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