Regge calculus from a new angle

T. Regge, “General relativity without coordinates,” Nuovo Cim. 19

1961

Earlier work this paper cites.

J. F. Plebanski, “On the separation of Einsteinian substructures,” J. Math. Phys. 18

1977

Earlier work this paper cites.

V. G. Turaev and O. Y. Viro, “State sum invariants of 3 manifolds and quantum 6j symbols,” Topology 31

1992

Earlier work this paper cites.

C. Rovelli, “The Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model in the loop representation basis”, Phys. Rev. D48

1993

Earlier work this paper cites.

J. W. Barrett, “First order Regge calculus,” Class. Quant. Grav. 11

1994

Earlier work this paper cites.

J. W. Barrett, M. Rocek and R. M. Williams, “A note on area variables in Regge calculus,” Class. Quant. Grav. 16

1999

Cited alongside, same era.

T. Regge and R. M. Williams, “Discrete structures in gravity,” J. Math. Phys. 41

2000

Cited alongside, same era.

J. Makela, “On the phase space coordinates and the Hamiltonian constraint of Regge calculus,” Phys. Rev. D 49

2001

Cited alongside, same era.

H. W. Hamber and R. M. Williams, “Non-perturbative gravity and the spin of the lattice graviton,” Phys. Rev. D 70

2004

Cited alongside, same era.

C. Wainwright and R. M. Williams, “Area Regge calculus and discontinuous metrics,” Class. Quant. Grav. 21

2004

Cited alongside, same era.

B. Dittrich and J. P. Ryan, “Phase space descriptions for simplicial 4d geometries,” arXiv:0807.2806 [gr-qc]

Original

Cited in the paper.

B. Dittrich, “Diffeomorphism symmetry in quantum gravity models,” arXiv:0810.3594 [gr-qc]. B. Bahr and B. Dittrich, “(Broken) Gauge Symmetries and Constraints in Regge Calculus,” arXiv:0905.1670 [gr-qc]. “Improved and Perfect Actions in Discretize Gravity,” arXiv:0907.4323 [gr-qc]

Original

Cited in the paper.

T. Kwok-keung Au, F. Luo, R. Stong, “Comparing Corresponding Dihedral Angles on Classical Geometric Simplices,” arXiv:math/0606350

Cited in the paper.

J. Lewandowski, A. Okolow, “Quantum group connections,” arXiv:0810.2992 [math-ph]

Original

Cited in the paper.

D. K. Wise, “MacDowell-Mansouri gravity and Cartan geometry,” arXiv:gr-qc/0611154. “Symmetric space Cartan connections and gravity in three and four dimensions,” arXiv:0904.1738 [math.DG]

Original

Cited in the paper.

J. Milnor, Collected papers, Vol. 1 Geometry

Cited in the paper.

F. Luo, “Continuity of the Volume of Simplices in Classical Geometry,” arXiv:math/0412208

Cited in the paper.

U. Yuka Taylor, C. T. Woodward, “6j symbols for Uq(sl2) and non- Euclidean tetrahedra, ” Selecta Math. (N.S.) 11

2005

Later among the works it cites.

S.L. Kokkendorff, “Polar Duality and the Generalized Law of Sines,” Journal of Geometry, 86

2007

Later among the works it cites.

A. Perez, “Spin foam models for quantum gravity,” Class. Quant. Grav. 20

Original

2008

Later among the works it cites.

B. Dittrich and S. Speziale, “Area-angle variables for general relativity,” New J. Phys. 10

Original

2008

Later among the works it cites.

A. Baratin and L. Freidel, “Hidden Quantum Gravity in 3d Feynman diagrams,” Class. Quant. Grav. 24

2027

Closest in time.