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We introduce a modified Regge calculus for general relativity on a triangulated four dimensional Riemannian manifold where the fundamental variables are areas and a certain class of angles.
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M. P. Reisenberger, “A left-handed simplicial action for euclidean general relativity,” Class. Quant. Grav. 14
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R. Loll, “Discrete approaches to quantum gravity in four dimensions,” Living Rev. Rel. 1
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J. W. Barrett, M. Rocek and R. M. Williams, “A note on area variables in Regge calculus,” Class. Quant. Grav. 16
1999
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T. Regge and R. M. Williams, “Discrete structures in gravity,” J. Math. Phys. 41
2000
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J. Makela, “On the phase space coordinates and the Hamiltonian constraint of Regge calculus,” Phys. Rev. D 49
H. W. Hamber and R. M. Williams, “Non-perturbative gravity and the spin of the lattice graviton,” Phys. Rev. D 70
2004
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Quantum Gravity
C. Rovelli, · 2004
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C. Wainwright and R. M. Williams, “Area Regge calculus and discontinuous metrics,” Class. Quant. Grav. 21
2004
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C. Rovelli, “Graviton propagator from background-independent quantum gravity,” Phys. Rev. Lett. 97
2006
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B. Dittrich and R. Loll, “Counting a black hole in Lorentzian product triangulations,” Class. Quant. Grav. 23
2006
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C. Rovelli, unpublished (2007). Some ideas then developed into the classical action used in newvertex
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2001
Cited alongside, same era.
L. C. Brewin and A. P. Gentle, “On the convergence of Regge calculus to general relativity,” Class. Quant. Grav. 18
2001
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L. Freidel and D. Louapre, “Asymptotics of 6j and 10j symbols,” Class. Quant. Grav. 20
2003
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R. Capovilla, T. Jacobson and J. Dell, “General Relativity Without the Metric,” Phys. Rev. Lett. 63
2003
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L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” arXiv:0708.1595 [gr-qc]
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Cited in the paper.
M. Bojowald and A. Perez, “Spin foam quantization and anomalies,” arXiv:gr-qc/0303026
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2007
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2007
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2008
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