Conformal variations and quantum fluctuations in discrete gravity

2016/01/19 by Annalisa Marzuoli, Dario Merzi
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Gravitation #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantum fluctuation #Quantum gravity #Scheme (mathematics) #gr-qc #hep-th #math-ph #math.MP #msc:81S40 #msc:83C27

paper · pdf · doi:10.1142/s0219887816500845

published as Int. J. Geom. Meth. Mod. Phys. vol 13 (2016) 1650084 · 11 pages, 3 figures

arxiv created 2016/01/19 · openalex publication_date 2016/04/05 · arxiv updated 2016/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

After an overview of variational principles for discrete gravity, and on the basis of the approach to conformal transformations in a simplicial PL setting proposed by Luo and Glickenstein, we present at a heuristic level an improved scheme for addressing the gravitational (Euclidean) path integral and geometrodynamics.

Citations

• General relativity without coordinates
• MATHEMATICAL EQUIVALENCE VERSUS PHYSICAL EQUIVALENCE BETWEEN EXTENDED THEORIES OF GRAVITATIONS
• THE PHYSICAL FOUNDATIONS FOR THE GEOMETRIC STRUCTURE OF RELATIVISTIC THEORIES OF GRAVITATION: FROM GENERAL RELATIVITY TO EXTENDED THEORIES OF GRAVITY THROUGH EHLERS–PIRANI–SCHILD APPROACH