A polynomial affine model of gravity: after ten years
arXiv:2412.21122 · doi:10.3390/universe11030102
Abstract
The polynomial affine model of gravity was proposed as an alternative to metric and metric-affine gravitational models. What at the beginning was thought as a source of unpredictability, the presence of many terms in the action, turned out to be a milestone, since it contains all possible combinations of the fields compatible with the covariance under diffeomorphisms. Here, we present a review of the advances in the analysis of the model after ten years of its proposal, and sketch the guideline of our future perspectives.
revtex4-2. Main: 22 pag., Appendix: 2 pag. Biblography: 4 pag
References in corpus (18)
- The Confrontation between General Relativity and Experiment
- f(R,T) gravity
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- A field-theory motivated approach to symbolic computer algebra
- Cosmology with torsion: An alternative to cosmic inflation
- New Action Principle for General Relativity
- Non-Metric Gravity I: Field Equations
- Emergence of the Cotton tensor for describing gravity
- On the nonsymmetric purely affine gravity
- Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and Redshifts of Quasars
- Cotton gravity and 84 galaxy rotation curves
- Non-metric gravity: A status report
- Dark energy in conformal Killing gravity
- 50 Years of Horndeski Gravity: Past, Present and Future
- Tensor calculus with open-source software: the SageManifolds project
- Is the principle of least action a must?
- Beyond Einstein: A Polynomial Affine Model of Gravity
- New Features in the Second Version of the Cadabra Computer Algebra System