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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.
T. Regge, General Relativity without Coordinates , Il Nuovo Cimento, vol. XIX, 1961
1961
Earlier work this paper cites.
R. Sorkin, Time–evolution problem in Regge Calculus . Physical Review D, 12, 1975
1975
Earlier work this paper cites.
G.W. Gibbons, S.W. Hawking, M.J. Perry, Path integrals and the indefiniteness of the gravitational action , Nuclear Physics B138, 1978
1978
Earlier work this paper cites.
S.W. Hawking, The path-integral approach to quantum gravity , in S.W. Hawking and W. Israel, General relativity - an Einstein centenary survey , CUP, 1979
1979
Earlier work this paper cites.
J.B. Hartle, R. Sorkin, Boundary Terms in the Action for the Regge Calculus , General Relativity and Gravitation, 13, 1981
1981
Earlier work this paper cites.
J.B.Hartle, S.W. Hawking, Wave function of the Universe , Physical Review D, 28, 1983
1983
Earlier work this paper cites.
J. Cheeger, W. Müller, R. Schrader, On the Curvature of Piecewise Flat Spaces , Communications in Mathematical Physics, 92, 1984
1984
Earlier work this paper cites.
H.W. Hamber, R.M. Williams, Higher derivative Quantum Gravity on a simplicial lattice , Nuclear Physics, B248, 1984
1984
Earlier work this paper cites.
S.W. Hawking, D.N. Page, Operator ordering and the flatness of the universe , Nuclear Physics, B264, 1984
1984
Earlier work this paper cites.
M. Roček, R.M. Williams, The Quantization of Regge Calculus , Zeitscschrift für Physic C: Particles and Fields, 21, 1984
1984
Earlier work this paper cites.
J.B. Hartle, Simplicial minisuperspace I. General discussion , Journal of Mathematical Physics, 26, 1985
1985
Earlier work this paper cites.
H.W. Hamber, R.M. Williams, Simplicial Quantum Gravity with higher derivative terms: formalism and numerical results in four dimensions , Nuclear Physics, B269, 1986
1986
Earlier work this paper cites.
J.B. Hartle, Simplicial minisuperspace II. Some classical solutions on simple triangulations , Journal of Mathematical Physics, 27, 1986
1986
Cited alongside, same era.
A.L. Besse, Einstein manifolds , Springer, 1987
1987
Cited alongside, same era.
J.B. Hartle, Simplicial minisuperspace III. Integral contours in a five-simplex model , Journal of Mathematical Physics, 30, 1989
1989
Cited alongside, same era.
P A Tuckey, R.M. Williams, Regge calculus: A Bibliography and brief review , Classical and Quantum Gravity, 9, 1992
1992
Cited alongside, same era.
H.W. Hamber, R.M. Williams, Simplicial Quantum Gravity in three dimensions: Analytical and numerical results , Physical Review D, 47, 1993
1993
Cited alongside, same era.
B. Springborn, P. Schröder, U. Pinkall Conformal Equivalence of Triangle Meshes , ACM Transactions on Graphics, 27, 2008
2008
Later among the works it cites.
D. Champion, D. Glickenstein, A. Young, Regge’s Einstein-Hilbert functional on the double tetrahedron , Differential Geometry and its Applications, 29, 2011
2011
Later among the works it cites.
D. Glickenstein, Discrete conformal variations and scalar curvature on piecewise flat two and three dimensional manifolds , Journal of Differential Geometry, 87, 2011
2011
Later among the works it cites.
H.W. Hamber, R.M. Williams, Discrete Wheeler-DeWitt Equation Physical Review D, 84, 2011
2011
Later among the works it cites.
D. Merzi, Conformal Geometry and Regge Gravity Master Thesis, Università degli Studi di Pavia, 2011
2011
Later among the works it cites.
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J. Ambjørn, M. Carfora, A. Marzuoli, The Geometry of Dynamical Triangulations , Springer, 1997
1997
Cited alongside, same era.
T. Regge, R.M. Williams, Discrete structures in gravity , Journal of Mathematical Physics, 41, 2000
2000
Cited alongside, same era.
F. Luo, Combinatorial Yamabe Flow on surfaces , Communications in Contemporary Mathematics, 6, 2004
2004
Cited alongside, same era.
D. Glickenstein, A combinatorial Yamabe flow in three dimensions , Topology, 44, 2005
2005
Cited alongside, same era.
H.W. Hamber, Quantum Gravitation - The Feynman Path Integral Approach , Springer, 2008
2008
Cited alongside, same era.
F. Luo, 3-Dimensional Schlaefli Formula and Its Generalization , Communications in Contemporary Mathematics, 10, 2008
2008
Cited alongside, same era.
S. Capozziello, M. De Laurentis, L. Fatibene, M. Francaviglia, 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 , International Journal of Geometric Methods in Modern Physics, 09, 2012
2012
Later among the works it cites.
H.W. Hamber, R. Toriumi, R.M. Williams, Wheeler–DeWitt equation in 2 + 1 2+1 dimensions , Physical Review D, 86, 2012
2012
Later among the works it cites.
H.W. Hamber, R. Toriumi, R.M. Williams, Wheeler–DeWitt equation in 3 + 1 3+1 dimensions , Physical Review D, 88, 2013
2013
Later among the works it cites.
P.M. Alsing, J.R. McDonald, W.A. Miller The simplicial Ricci tensor , Classical and Quantum Gravity, 28, 2011; P.M. Alsing, J.R. McDonald, D.X. Gu,W.A. Miller, S.-T. Yau. Simplicial Ricci Flow , Communications in Mathematical Physics, 329, 2014
2014
Later among the works it cites.
L. Fatibene, M. Francaviglia, Mathematical Equivalence vs. Physical Equivalence between Extended Theories of Gravitations , International Journal of Geometric Methods in Modern Physics, 11, 2014
2014
Later among the works it cites.
H.M. Haggard, A. Hedeman, E. Kur, R.G. Littlejohn, Symplectic and semiclassical aspects of the Schläfli identity Journal of Physics A: Mathematical and Theoretical, 48, 2015
2015
Later among the works it cites.