Regge calculus: a brief review and bibliography
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Presents a brief review of the theory and applications of Regge calculus in classical and quantum gravity, followed by a comprehensive bibliography which the author hopes will be of use to workers in the subject.
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The structure of the state sum and boundary terms is a close analogue to that discovered in [80,81] for SU(2) topological field theories in any number of dimensions, with differences being the group used and the absence of constraints on representations so topological invariance is maintained.
“The structure of the state sum and the form of the boundary terms is a very close analogue to that discovered in [80,81] for SU (2) topological field theories in any number of dimensions, the difference being the group used, of course, and the absence of any constraints on the representations so that the topological invariance is maintained.”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [81]
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Cites
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Self-citationA continuous time formulation of the Regge calculus
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Regge calculus in anisotropic quantum cosmology
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Self-citationNonrigid motion and Regge calculus
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Phases of simplicial quantum gravity
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Solutions of the Regge equations
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Functional integration and the diffeomorphism group in Euclidean lattice quantum gravity
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Three-dimensional Einstein gravity and Regge calculus
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Initial data for time-symmetric gravitational radiation using Regge calculus
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Dimensional phase transitions: Coupling of matter to the cell complex
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Relativistic collapse using Regge calculus. I. Spherical collapse equations
Dubal, M. R. (1989) · Classical and Quantum Gravity · doi:10.1088/0264-9381/6/12/020 · Cited by 13 · see citing works
Critical behavior in simplicial quantum gravity
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A few insights into the nature of classical and quantum gravity via null-strut calculus
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Null-strut calculus. II. Dynamics
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A correlation decay theorem at high temperature
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Discrete gravity without coordinates
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On d = 2 Regge calculus without triangulation
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The Einstein tensor in Regge's discrete gravity theory
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Einstein gravity in the loop variable approach
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Calculation of relativistic model stars using Regge calculus
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Null-strut calculus. I. Kinematics
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Dimensional phase transitions: Spinors, gauge fields, and background gravity on a cell complex
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Semilocality of one-dimensional simplicial quantum gravity
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Regge calculus and observations. II. Further applications
Williams, R. M., & Ellis, G. (1984) · General Relativity and Gravitation · doi:10.1007/bf00760639 · Cited by 9 · see citing works
Self-citationContinuous time Regge gravity in the tetrad-connection variables
Khatsymovsky, V. M. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/6/017 · Cited by 9 · see citing works
A 3+1 Regge calculus model of the Taub universe
Tuckey, P. A., & Williams, R. M. (1988) · Classical and Quantum Gravity · doi:10.1088/0264-9381/5/1/020 · Cited by 8 · see citing works
Self-citationIndependent variables in 3+1 Regge calculus
Tuckey, P. A. (1989) · Classical and Quantum Gravity · doi:10.1088/0264-9381/6/1/002 · Cited by 8 · see citing works
Self-citationOn the continuum limit of curvature squared actions in the Regge calculus
Eliezer, D. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90623-8 · Cited by 8 · see citing works
The fundamental theorem of linearised Regge calculus
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Conserved constraints in three-plus-one Regge calculus
Tuckey, P. A., & Williams, R. M. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/11/014 · Cited by 7 · see citing works
Self-citationEquivalence of the Regge and Einstein equations for almost flat simplicial space-times
Brewin, L. (1989) · General Relativity and Gravitation · doi:10.1007/bf00760619 · Cited by 6 · see citing works
Marginally trapped surfaces in a simplicial space
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Simulations of Discrete Quantized Gravity
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2d gravity, random surfaces and all that
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Quasi-regular singularities based on null planes
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Gauging of Dirac-Kahler fermions on the cubic lattice
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Three-dimensional regge quantum gravity and 6j symbols
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The Gauss-Codacci equation on a Regge spacetime
Brewin, L. (1988) · Classical and Quantum Gravity · doi:10.1088/0264-9381/5/9/006 · Cited by 4 · see citing works
Relativistic collapse using Regge calculus. II. Spherical collapse results
Dubal, M. R. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/3/011 · Cited by 4 · see citing works
Exterior differentiation in the Regge calculus
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Cone subdivision procedure for Regge lattices: a renormalization group approach to quantum gravity.
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On the Combinatorial Foundations of Regge‐Calculus
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The Regge calculus in numerical relativity
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An application of a first-order formulation of the Regge calculus
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Regge calculus in numerical relativity
Dubal, M. R. (1986) · Cited by 1 · see citing works
Simplicial quantum gravity and unruly topology.
Hartle, J. B. (1986) · Cited by 1 · see citing works
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A simple expression for the ADM mass
Brewin, L. (2007) · General Relativity and Gravitation · doi:10.1007/s10714-007-0403-9 · Cited by 17 · see citing works
- Authors
- Williams, R. M., & Tuckey, P. A.
- Affiliations
- European Organization for Nuclear Research (CH)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1992-05-01
- Volume
- 9
- Issue
- 5
- Pages
- 1409-1422
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1981389961
- Cited by
- 175
- References
- 115
- Citations by year
- 2025: 3 · 2024: 5 · 2023: 4 · 2022: 6 · 2021: 2 · 2020: 25 · 2019: 6 · 2018: 2 · 2017: 8 · 2016: 6 · 2015: 3 · 2014: 2 · 2013: 4 · 2012: 9
- FWCI
- 6.16
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Regge calculus, lattice gravity, discrete spacetime, quantum gravity, classical gravity, numerical relativity, simplicial geometry
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