Fetching the paper…
Reading the bibliography…
We afford a systematic and comprehensive account of the canonical dynamics of 4D Regge Calculus perturbatively expanded to linear order around a flat background.
V. Moncrief, “Space-time symmetries and linearization stability of the Einstein equations. II.,” J.Math.Phys
1902
Earlier work this paper cites.
T. Regge, “General Relativity without coordinates,” Nuovo Cim
1961
Earlier work this paper cites.
Wiley, 1962
R. L. Arnowitt, S. Deser, and C. W. Misner, “The Dynamics of General Relativity,” in Gravitation: An Introduction to Current Research · 1962
Earlier work this paper cites.
D. Walkup, “The lower bound conjecture for 3– and 4–manifolds,” Acta Math
1970
Earlier work this paper cites.
A. Fischer and J. Marsden, “Linearization stability of the Einstein equations,” Bull.Am.Math.Soc
1973
Earlier work this paper cites.
B. Dittrich and P. A. Höhn, “Canonical simplicial gravity,” Class.Quant.Grav
1974
Earlier work this paper cites.
R. Sorkin, “Time evolution problem in Regge Calculus,” Phys.Rev
1975
Earlier work this paper cites.
V. Moncrief, “Space-time symmetries and linearization stability of the Einstein equations. I.,” J.Math.Phys
1975
Earlier work this paper cites.
M. Roček and R. M. Williams, “Quantum Regge Calculus,” Phys.Lett
1981
Earlier work this paper cites.
J. Hartle and R. Sorkin, “Boundary terms in the action for the Regge Calculus,” Gen.Rel.Grav
1981
Earlier work this paper cites.
M. Roček and R. Williams, “The quantization of Regge Calculus,” Z.Phys
1984
Earlier work this paper cites.
Chicago University Press, 1984
R. Wald, General Relativity · 1984
Earlier work this paper cites.
U. Pachner, “Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten,” Abh.Math.Sem.Univ.Hamburg
1986
Earlier work this paper cites.
T. Piran and R. M. Williams, “A (3+1) formulation of Regge Calculus,” Phys.Rev
1986
Earlier work this paper cites.
J. Friedman and I. Jack, “(3+1) Regge Calculus with conserved momentum and Hamiltonian constraints,” J.Math.Phys
1986
Earlier work this paper cites.
W. Miller, “The geometrodynamic content of the Regge equations as illuminated by the boundary of a boundary principle,” Found.Phys
1986
Earlier work this paper cites.
J. Barrett, “The fundamental theorem of linearised regge calculus,” Physics Letters B
1987
Earlier work this paper cites.
J. Barrett, “A convergence result for linearised regge calculus,” Classical and Quantum Gravity
1988
Earlier work this paper cites.
J. Barrett and R. M. Williams, “The convergence of lattice solutions of linearised regge calculus,” Classical and Quantum Gravity
1988
Earlier work this paper cites.
U. Pachner, “PL homeomorphic manifolds are equivalent by elementary shellings,” Europ.J.Combinatorics
1991
Earlier work this paper cites.
P. A. Morse, “Approximate diffeomorphism invariance in near flat simplicial geometries,” Class.Quant.Grav
1992
Earlier work this paper cites.
H. W. Hamber and R. M. Williams, “Simplicial quantum gravity in three-dimensions: Analytical and numerical results,” Phys.Rev
1993
Earlier work this paper cites.
P. A. Tuckey, “The construction of Sorkin triangulations,” Class.Quant.Grav
1993
Earlier work this paper cites.
T. Thiemann, “Anomaly - free formulation of nonperturbative, four-dimensional Lorentzian quantum gravity,” Phys.Lett
1996
Cited alongside, same era.
R. M. Williams, “Recent progress in Regge Calculus,” Nucl.Phys.Proc.Suppl
1997
Cited alongside, same era.
H. W. Hamber and R. M. Williams, “Gauge invariance in simplicial gravity,” Nucl.Phys
1997
Cited alongside, same era.
J. Ambjørn, M. Carfora, and A. Marzuoli, “The geometry of Dynamical Triangulations,” Lect.Notes Phys
1997
Cited alongside, same era.
J. W. Barrett, M. Galassi, W. A. Miller, R. D. Sorkin, P. A. Tuckey, et al
1997
Cited alongside, same era.
T. Thiemann, “Quantum spin dynamics (QSD),” Class.Quant.Grav
1998
Cited alongside, same era.
2009
Later among the works it cites.
B. Dittrich, “Diffeomorphism symmetry in quantum gravity models,” Adv.Sci.Lett
2009
Later among the works it cites.
B. Bahr and B. Dittrich, “Improved and perfect actions in discrete gravity,” Phys.Rev
2009
Later among the works it cites.
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Loll, “On the diffeomorphism commutators of lattice quantum gravity,” Class.Quant.Grav
1998
Cited alongside, same era.
T. Regge and R. M. Williams, “Discrete structures in gravity,” J.Math.Phys
2000
Cited alongside, same era.
Cambridge University Press, 2001
J. Marsden and M. West, “Discrete mechanics and variational integrators,” in Acta Numerica · 2001
Cited alongside, same era.
L. Freidel and D. Louapre, “Diffeomorphisms and spin foam models,” Nucl.Phys
2003
Cited alongside, same era.
R. Gambini and J. Pullin, “Canonical quantization of General Relativity in discrete space-times,” Phys.Rev.Lett
2003
Cited alongside, same era.
H. W. Hamber and G. Kagel, “Exact Bianchi identity in Regge gravity,” Class.Quant.Grav
2004
Cited alongside, same era.
2010
Later among the works it cites.
B. Bahr and B. Dittrich, “Regge Calculus from a new angle,” New J.Phys
2010
Later among the works it cites.
2011
Later among the works it cites.
B. Dittrich, “How to construct diffeomorphism symmetry on the lattice,” PoS
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
V. Bonzom and A. Laddha, “Lessons from toy-models for the dynamics of Loop Quantum Gravity,” SIGMA
2012
Later among the works it cites.
P. A. Höhn, “Canonical formalism for simplicial gravity,” J.Phys.Conf.Ser
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
B. Dittrich and P. A. Höhn, “Constraint analysis for variational discrete systems,” J. Math. Phys
2013
Later among the works it cites.
A. Perez, “The spin-foam approach to quantum gravity,” Living Reviews in Relativity
2013
Later among the works it cites.
V. Bonzom and B. Dittrich Class.Quant.Grav
2013
Later among the works it cites.
2014
Closest in time.
2014
Closest in time.
2014
Closest in time.