Some Recent Results on Ricci-Based Gravity Theories

Abstract

Metric-affine theories in which the gravity Lagrangian is built using (projectively invariant) contractions of the Ricci tensor with itself and with the metric (Ricci-Based Gravity theories, or RBGs for short) are reviewed. The goal is to provide a contextualized and coherent presentation of some recent results. In particular, we focus on the correspondence that exists between the field equations of these theories and those of general relativity, and comment on how this can be used to build new solutions of physical interest. We also discuss the formalism of junction conditions in the $f(R)$ case, and provide a brief summary on current experimental and observational bounds on model parameters.

15 pages, no figures, IJMPD style

References in corpus (15)

• Beyond the Cosmological Standard Model
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Junction Conditions in f(R) Theories of Gravity
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Junction conditions in extended Teleparallel gravities
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
• Boson stars in Palatini $f(\mathcal{R})$ gravity
• Born-Infeld Gravity: Constraints from Light-by-Light Scattering and an Effective Field Theory Perspective
• Parameterized non-relativistic limit of stellar structure equations in Ricci-based gravity theories
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Compact objects in quadratic Palatini gravity generated by a free scalar field
• Ricci-Determinant Gravity: Dynamical Aspects and Astrophysical Implications

Cited by in corpus (6)

• Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Gravity and $T\bar{T}$ flows in higher dimensions
• Stability of non-degenerate Ricci-type Palatini theories
• Conformal Metric-Affine Gravities
• A diffeomorphism invariant family of metric-affine actions for loop cosmologies