Solutions of the Regge equations on some triangulations of CP2

DOI10.1063/1.531958zbMath0878.53060arXivgr-qc/9606005OpenAlexW3102742695MaRDI QIDQ4345106

Zoltán Perjés, James B. Hartle

Publication date: 27 August 1997

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9606005

zbMATH Keywords

quantum gravitycomplex projective planeRegge actionsymmetric triangulations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Triangulating manifolds (57Q15) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27)

Cites Work

• The unique 3-neighborly 4-manifold with few vertices
• Equilibrium triangulations of the complex projective plane
• \(\mathbb{C} P^2\) as a gravitational instanton
• Smooth limits of piecewise-linear approximations
• Phases of simplicial quantum gravity in four dimensions. Estimates for the critical exponents
• Simplicial minisuperspace. II. Some classical solutions on simple triangulations
• Regge calculus: a brief review and bibliography

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