Palatini Approach to Modified Gravity: f(R) Theories and Beyond

By G. Olmo. 2011

570 citations recorded by the source corpus.

We review the recent literature on modified theories of gravity in the Palatini approach. After discussing the motivations that lead to consider alternatives to Einstein’s theory and to treat the metric and the connection as independent objects, we review several topics that have been recently studied within this framework. In particular, we provide an in-depth analysis of the cosmic speedup problem, laboratory and solar systems tests, the structure of stellar objects, the Cauchy problem, and bouncing cosmologies. We also discuss the importance of going beyond the f(R) models to capture other phenomenological aspects related with dark matter/energy and quantum gravity.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/816d7af1246e0b26a089788c0d97124b5bf288c9

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In Astronomy and Astrophysics

In Statistical and Nonlinear Physics

Citations in the corpus

Born–Infeld inspired modifications of gravity (2017, methodology): “The difficulties with ghost-like instabilities in higher curvature modifications of gravity can be avoided by formulating those theories in the so-called Palatini or metric-affine formalism [272].”
Black Hole Remnants and the Information Loss Paradox (2014, background): “In the Palatini approach [173] of gravity, both the metric and the connection are independent variables(13).”
Hybrid Metric-Palatini Gravity (2015, background): “From these investigations it was soon noticed that the usual metric formulation of alternative theories of gravity is generically different from its Palatini (or metric-affine) counterpart (see [18] for a recent review on the Palatini approach).”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, methodology): “[58, 59]) that the action (148) is dynamically equivalent to the constrained system with first-order metric-affine gravitational Lagrangian:”
Cosmological and Solar System Consequences of f(R,T) Gravity Models (2014, background): “Actually, it is reminiscent of the Palatini formulation of f(R) gravity theories, wherein the trace of the corresponding field equations reads [99] RF (R)− 2f(R) = 8πGT, where R is the metric–independent Ricci scalar.”