Extended Theories of Gravity with Generalized Energy Conditions

Abstract

We address the problem of the energy conditions in modified gravity taking into account the additional degrees of freedom related to scalar fields and curvature invariants. The latter are usually interpreted as generalized {\it geometrical fluids} that differ in meaning with respect to the matter fluids generally considered as sources of the field equations. In extended gravity theories the curvature terms are encapsulated in a tensor $H^{ab}$ and a coupling $g({\Psi }^i)$ that can be recast as effective Einstein field equations, with corrections to the energy-momentum tensor of matter. The formal validity of standard energy inequalities does not assure basic requirements such as the attractive nature of gravity, so we argue that the energy conditions have to be considered in a wider sense.

Sumbitted to the Proceedings of the Spanish Relativity Meeting- ERE2014"Amost 100 years after Einstein revolution", to appear in the Journal of Physics: Conference Series

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• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• On the existence of static spherically-symmetric objects in action-dependent Lagrangian theories
• Eckart heat-flux applicability in $F(\Phi ,X)R$ theories and the existence of temperature gradients
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Extended Theories of Gravity in cosmological and astrophysical applications