Conventionalism, cosmology and teleparallel gravity

Abstract

We consider homogeneous and isotropic cosmological models in the framework of three geometrical theories of gravitation: in the Einstein general relativity they are given in terms of the curvature of the Levi-Civita connection in torsion free metric spacetimes, in the teleparallel equivalent of general relativity they are given in terms of the torsion of flat metric spacetimes, and in the symmetric teleparallel equivalent of general relativity they are given in terms of the nonmetricity of flat torsion free spacetimes. We argue that although these three formulations seem to be different, the corresponding cosmological models are in fact equivalent and their choice is conventional.

16 pages, references added, version accepted in the journal

References in corpus (8)

• Comparing Equivalent Gravities: common features and differences
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Cosmology and Convention
• Coincident gauge for static spherical field configurations in symmetric teleparallel gravity
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• Noether charge and black hole entropy in teleparallel gravity
• The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity

Cited by in corpus (3)

• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• Motions of Test Particles in Gravitational Field, Perturbations and Greybody Factor of Bardeen-like AdS Black Hole with Phantom Global Monopoles
• The Hamiltonian constraint in the symmetric teleparallel equivalent of general relativity