Projective and amplified symmetries in metric-affine theories
arXiv:2006.04040 · doi:10.1088/1361-6382/abed61
Abstract
In this paper we extend the projective symmetry of the full metric-affine Einstein-Hilbert theory to a new symmetry transformation in the space of affine connections called the amplified symmetry. We prove that the Lagrangian of the Standard Model of particle physics is invariant under this new symmetry. We also show that the gravitational Lagrangian can be modified so that the amplified symmetry extends to the gravitational sector and hence to the whole action. The new theory so constructed is shown to be dynamically equivalent to Einstein-Cartan's though genuinely metric-affine.
arXiv comment22 pages, no figures. To appear in Classical and Quantum Gravity
References in corpus (18)
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Coincident General Relativity
- Nonmetricity formulation of general relativity and its scalar-tensor extension
- Symmetric teleparallel general relativity
- General Relativity and Weyl Geometry
- The dynamics of metric-affine gravity
- On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection
- The role of nonmetricity in metric-affine theories of gravity
- Weyl geometry
- Kinematics of Einstein-Cartan universes
- Conformal Invariance in Einstein-Cartan-Weyl space
- Raychaudhuri equation in spacetimes with torsion
- On the nonsymmetric purely affine gravity
- Connection independent formulation of general relativity
- On the (non-)uniqueness of the Levi-Civita solution in the Einstein-Hilbert-Palatini formalism
- Geometric inequivalence of metric and Palatini formulations of General Relativity
- Palatini Variational Principle for an Extended Einstein-Hilbert Action
- Singularity theorems and the inclusion of torsion in affine theories of gravity