Polynomial affine model of gravity in three-dimensions
arXiv:2201.12030 · doi:10.3390/universe8020068
Abstract
In this work, we explore a three-dimensional formulation of the polynomial affine model of gravity, which is a model that extends general relativity by relaxing the equivalence principle through the exclusion of the metric from the set of fundamental fields. In particular, in an attempt to gain insight of the role of the torsion and nonmetricity in the gravitational models, we consider homogeneous and isotropic cosmological models, for which their solutions are classified in a \emph{decisions tree}. We also show a few of these explicit solutions that allow the definition of (alternative/emergent) metrics derived from the connection.
arXiv comment14 pages, 2 figures
References in corpus (19)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The Black Hole in Three Dimensional Space Time
- Rotation Curves of Spiral Galaxies
- Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
- New Action Principle for General Relativity
- Non-Metric Gravity I: Field Equations
- Affine theory of gravitation
- Universality of affine formulation in General Relativity theory
- On the nonsymmetric purely affine gravity
- Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and Redshifts of Quasars
- Non-metric gravity: A status report
- Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering
- Pure Connection Formalism for Gravity: Linearized Theory
- Emergent metric and geodesic analysis in cosmological solutions of (torsion-free) Polynomial Affine Gravity
- Gravitation, electromagnetism and the cosmological constant in purely affine gravity
- Beyond Einstein: A Polynomial Affine Model of Gravity
- A polynomial model of purely affine gravity
- Aspects of the polynomial affine model of gravity in three dimensions