Three-dimensional Einstein gravity and Regge calculus
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The authors discuss the connection between Regge calculus and Einstein gravity in three spacetime dimensions. It is shown how the Regge calculus Bianchi identities imply momentum conservation.
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Classical Regge calculus in 2+1 dimensions was investigated by Rocek and Williams, who showed that it gave exact results for point particle scattering.
“Classical Regge calculus in 2 + 1 dimensions was investigated by Rocek and Williams [235], who showed that it gave exact results for point particle scattering.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [235]
The discussion on p. 703 uses Regge calculus in (2+1) dimensions to derive results for gravitating point particles, including a collision in which two particles coalesce. It does not establish exact results for point-particle scattering generally; that wording is broader than the collision result shown. (LLM, conf=0.84)
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Cites
General relativity without coordinates
Regge, T. (1961) · Il Nuovo Cimento · doi:10.1007/bf02733251 · Cited by 1,477 · see citing works
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Research works printed but not linked: 1
- RoEek M and Williams R M 1982 Quantum Structure of Space and Time ed M J Duff and C J Isham (Cambridge: CUP) pp 105-16
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Regge calculus: a brief review and bibliography
Williams, R. M., & Tuckey, P. A. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/5/021 · Cited by 175 · see citing works
Self-citationQuantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Rocek, M., & Williams, R. M.
- Affiliations
- Stony Brook University (US)
- ORCID
- Williams, R M
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1985-09-01
- Volume
- 2
- Issue
- 5
- Pages
- 701-706
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2004017761
- Cited by
- 15
- References
- 1
- Citations by year
- 2015: 1
- FWCI
- 1.03
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Funders
- Aspen Center for Physics
- 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, three-dimensional Einstein gravity, Bianchi identities, momentum conservation, lattice gravity, discrete spacetime
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