Bimetric-Affine Quadratic Gravity

Abstract

Bimetric gravity, is a theory of gravity that posits the existence of two interacting and dynamical metric tensors. The spectrum of bimetric gravity consists of a massless and a massive spin-2 particle. The form of the interactions between the two metrics $g_{\mu \nu }$ and $f_{\mu \nu }$ is constrained by requiring absence of the so called Boulware-Deser ghost. In this work we extend the original bimetric theory to its bimetric-affine counterpart, in which the two connections, associated with the Ricci scalars, are treated as independent variables. We examine in detail the case of an additional quadratic in the Ricci scalar curvature term ${\mathcal{R}}^2(g,\Gamma )$ and we find that this theory is free of ghosts for a wide range of the interaction parameters, not excluding the possibility of a Dark Matter interpretation of the massive spin-2 particle.

matches version to be published in PRD

References in corpus (21)

• Resummation of Massive Gravity
• Metric-affine f(R) theories of gravity
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• On couplings to matter in massive (bi-)gravity
• Stable and unstable cosmological models in bimetric massive gravity
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• Heavy spin-2 Dark Matter
• Viable cosmology in bimetric theory
• Oscillating Spin-2 Dark Matter
• The coupling to matter in Massive, Bi- and Multi-Gravity
• Cosmic expansion histories in massive bigravity with symmetric matter coupling
• Appearance of Boulware-Deser ghost in bigravity with doubly coupled matter
• Linear growth of structure in massive bigravity
• Cosmology in bimetric theory with an effective composite coupling to matter
• Dark Matter via Massive (bi-)Gravity
• Cosmology of bigravity with doubly coupled matter
• Dark matter in ghost-free bigravity theory: From a galaxy scale to the universe
• Mass eigenstates in bimetric theory with matter coupling
• Cosmological viability of massive gravity with generalized matter coupling
• Ultraviolet behaviour of Higgs inflation models

Cited by in corpus (16)

• Pulsar timing residual induced by ultralight tensor dark matter
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Bimetric Starobinsky model
• General Einstein-Cartan quadratic gravity with derivative couplings
• Angular correlation and deformed Hellings-Downs curve from spin-2 ultralight dark matter
• i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
• Static spheres and Aschenbach effect for black holes in massive gravity
• Traversable wormholes in bi-metric gravity
• On the absence of ghosts in quadratic bigravity
• Dynamically induced spin-2 mass in a Weyl-invariant framework
• Stimulated absorption of single gravitons: First light on quantum gravity
• On the dilation current in metric-affine gravity
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models
• Topological charge and black hole photon spheres in massive gravity
• Cosmic inflation in metric-affine gravity
• The bimetric model with an informational metric tensor