Simplicial minisuperspace. II. Some classical solutions on simple triangulations

DOI10.1063/1.527331zbMath0606.57010OpenAlexW2089940685MaRDI QIDQ3744904

James B. Hartle

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527331

zbMATH Keywords

spacetimeEinstein equationsRegge actionSimplicial geometriestriangulations of \(S^ 4\), \({bbfC}P^ 2\), and \(S^ 2\times S^ 2\)

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Triangulating manifolds (57Q15) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) PL-topology (57Q99)

Related Items

Parallelizable implicit evolution scheme for Regge calculus, Discrete approaches to quantum gravity in four dimensions, Solutions of the Regge equations on some triangulations of CP2, Generalized sums over histories for quantum gravity. II: Simplicial conifolds, Exploration of simplicial quantum gravity in four dimensions, Recent progress in Regge calculus

Cites Work

• The unique 3-neighborly 4-manifold with few vertices
• The 9-vertex complex projective plane
• \(\mathbb{C} P^2\) as a gravitational instanton
• The symmetry groups of the regular tessellations of S ² and S ³
• Wave function of the Universe