Consistent and mimetic discretizations in general relativity

DOI10.1063/1.1841483zbMath1076.83009arXivgr-qc/0404052OpenAlexW2032006065WikidataQ57394194 ScholiaQ57394194MaRDI QIDQ3024245

Rodolfo Gambini, Cayetano Di Bartolo, Jorge Pullin

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0404052

Mathematics Subject Classification ID

Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27)

Related Items

Incursive discretization, system bifurcation, and energy conservation ⋮ Quantization of systems with temporally varying discretization. I. Evolving Hilbert spaces ⋮ Quantization of systems with temporally varying discretization. II. Local evolution moves ⋮ Classification of constraints and degrees of freedom for quadratic discrete actions ⋮ Discrete normal vector field approximation via time scale calculus ⋮ Mimetic discretization of the Abelian Chern-Simons theory and link invariants ⋮ Abelian Ashtekar formulation from the ADM action ⋮ Quantization of midisuperspace models ⋮ Mimetic finite difference method ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations ⋮ The spin-foam approach to quantum gravity

Cites Work

• Canonical Quantization of General Relativity in Discrete Space-Times
• Self-dual 2-forms and gravity
• Discrete quantum gravity: cosmological examples
• Quantum spin dynamics (QSD)
• Canonical quantization of constrained theories on discrete spacetime lattices