Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
arXiv:2105.07053 · doi:10.1103/PhysRevD.104.044046
Abstract
We prove the equivalence in the covariant phase space of the metric and connection formulations for Palatini gravity, with nonmetricity and torsion, on a spacetime manifold with boundary. To this end, we will rely on the cohomological approach provided by the relative bicomplex framework. Finally, we discuss some of the physical implications derived from this equivalence in the context of singularity identification through curvature invariants.
References in corpus (28)
- Modified Gravity and Cosmology
- Background Independent Quantum Gravity: A Status Report
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Isolated and dynamical horizons and their applications
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- Physical Aspects of the Space-Time Torsion
- Cosmology with torsion: An alternative to cosmic inflation
- Currents and Superpotentials in classical gauge invariant theories I. Local results with applications to Perfect Fluids and General Relativity
- Observable traces of non-metricity: new constraints on metric-affine gravity
- Null infinity, the BMS group and infrared issues
- Curvature scalar instability in f(R) gravity
- On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection
- Boundary effects in General Relativity with tetrad variables
- Geometric formulation of the Covariant Phase Space methods with boundaries
- A gauge-invariant symplectic potential for tetrad general relativity
- Crystal clear lessons on the microstructure of space-time and modified gravity
- Actions, topological terms and boundaries in first order gravity: A review
- Probing non-Riemannian spacetime geometry
- A note on dual gravitational charges
- On the (non-)uniqueness of the Levi-Civita solution in the Einstein-Hilbert-Palatini formalism
- Null infinity as an open Hamiltonian system
- Geometric inequivalence of metric and Palatini formulations of General Relativity
- Some Aspects of Holst and Nieh-Yan Terms in General Relativity with Torsion
- Noether Current, Black Hole Entropy and Spacetime Torsion
- Covariant phase space for gravity with boundaries: metric vs tetrad formulations
- Concise symplectic formulation for tetrad gravity
- Conserved currents in the Palatini formulation of general relativity
- The role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields
Cited by in corpus (8)
- Covariant canonical formulations of classical field theories
- Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms
- The dressing field method for diffeomorphisms: a relational framework
- On the on-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
- On the covariant formulation of gauge theories with boundaries
- Three roads to the geometric constraint formulation of gravitational theories with boundaries
- Phase space for gravity with boundaries
- Dualized Gravity beyond Linear Approximation