Beyond Einstein: A Polynomial Affine Model of Gravity
arXiv:1902.09131 · doi:10.5772/intechopen.70951
Abstract
We show that the effective field equations for a recently formulated polynomial affine model of gravity, in the sector of a torsion-free connection, accept general Einstein manifolds---with or without cosmological constant---as solutions. Moreover, the effective field equations are partially those obtained from a gravitational Yang-Mills theory known as the Stephenson-Kilmister-Yang (SKY) theory. Additionally, we find a generalisation of a minimally coupled massless scalar field in general relativity within a "minimally" coupled scalar field in this affine model. Finally, we present the road map to finding general solutions to the effective field equations with either isotropic or cosmologic (i.e., homogeneous and isotropic) symmetry.
References in corpus (24)
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Causality Constraints on Corrections to the Graviton Three-Point Coupling
- Cosmology with torsion: An alternative to cosmic inflation
- New Action Principle for General Relativity
- Higher-spin massless S-matrices in four-dimensions
- A modified theory of gravity with torsion and its applications to cosmology and particle physics
- Cosmological constant from quarks and torsion
- Torsion Phenomenology at the LHC
- Axions in gravity with torsion
- Torsion action and its possible observables
- Non-Metric Gravity I: Field Equations
- Affine theory of gravitation
- On the nonsymmetric purely affine gravity
- Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and Redshifts of Quasars
- Four-fermion interaction from torsion as dark energy
- Non-metric gravity: A status report
- Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
- Fermion Masses Through Condensation in Spacetimes with Torsion
- Torsion in Extra Dimensions and One-Loop Observables
- Updated limits on extra dimensions through torsion and LHC data
- Is the principle of least action a must?
- A polynomial model of purely affine gravity
- Weak Forces and Neutrino Oscillations under the standards of Hybrid Gravity with Torsion
- A Torsional Model of Leptons