The general gravitational Lagrangian with deformed covariance
arXiv:1901.07383 · doi:10.1103/PhysRevD.102.104048
Abstract
We derive the gravitational Lagrangian to all orders of curvature when the canonical constraint algebra is deformed by a phase space function as predicted by some studies into loop quantum cosmology. The deformation function seems to be required to satisfy a non-linear equation usually found in fluid mechanics, and can form discontinuities quite generally.
arXiv comment15 pages, 2 figures. arXiv admin note: text overlap with arXiv:1812.07530
References in corpus (25)
- The Dynamics of General Relativity
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Quantum Geometry and Black Hole Entropy
- Real Ashtekar Variables for Lorentzian Signature Space-times
- Gravity's Rainbow
- The principle of relative locality
- Quantum Gravity and Regge Calculus
- 3+1 Formalism and Bases of Numerical Relativity
- Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
- Anomaly freedom in perturbative loop quantum gravity
- Deformed General Relativity and Effective Actions from Loop Quantum Gravity
- Hamiltonian formulation of f(Riemann) theories of gravity
- Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
- Multi-Particle States in Deformed Special Relativity
- Hypersurface-deformation algebroids and effective space-time models
- Deformed General Relativity
- On the regularization of the constraints algebra of Quantum Gravity in 2+1 dimensions with non-vanishing cosmological constant
- Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology
- Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
- Linking loop quantum gravity quantization ambiguities with phenomenology
- The Box-Problem in Deformed Special Relativity
- Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity
- Fourth order deformed general relativity
- Deformed general relativity and scalar-tensor models
- The general scalar-tensor Hamiltonian with deformed covariance