Cosmology in Palatini theories of gravity

Abstract

We discuss recent results on the cosmology of extended theories of gravity formulated in the Palatini approach, i.e., assuming that metric and connection are independent fields. In particular, we focus on the attempts to explain the cosmic speedup with f(R) theories and on models that avoid the big bang singularity. The field equations for gravity Lagrangians of the form f(g_{μν},{R^α}_{βμν}) (including torsion) are explicitly derived and discussed.

arXiv comment16 pages, no figures. Contribution to the Proceedings of Spanish Relativity Meeting ERE2011, Madrid 29 August - 2 September 2011 . Plenary talk

References in corpus (14)

• The Pre-Big Bang Scenario in String Cosmology
• The Confrontation between General Relativity and Experiment
• Are loop quantum cosmos never singular?
• Nonsingular, big-bounce cosmology from spinor-torsion coupling
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Anti-deSitter universe dynamics in LQC
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• Latest supernovae constraints on f(R) cosmologies
• Gödel-type universes in Palatini f(R) gravity
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• Anisotropic singularities in modified gravity models
• Cosmological Consequences of Exponential Gravity in Palatini Formalism

Cited by in corpus (8)

• Importance of torsion and invariant volumes in Palatini theories of gravity
• Classical resolution of black hole singularities in arbitrary dimension
• Tensor perturbations in a general class of Palatini theories
• Anisotropic deformations in a class of projectively-invariant metric-affine theories of gravity
• Black hole formation from a null fluid in extended Palatini gravity
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• Generalized Einstein-Maxwell field equations in the Palatini formalism
• Analytic solution of the algebraic equation associated to the Ricci tensor in extended Palatini gravity