Cited by 73Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

A left-handed simplicial action for Euclidean general relativity

Open access
Reisenberger, Michael P·1997·Classical and Quantum Gravity

Abstract

An action for simplicial euclidean general relativity involving only left-handed fields is presented. The simplicial theory is shown to converge to continuum general relativity in the Plebanski formulation as the simplicial complex is refined. This contrasts with the Regge model for which Miller and Brewin have shown that the full field equations are much more restrictive than Einstein's in the continuum limit. The action and field equations of the proposed model are also significantly simpler then those of the Regge model when written directly in terms of their fundamental variables. An entirely analogous hypercubic lattice theory, which approximates Plebanski's form of general relativity is also presented.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1088/0264-9381/14/7/012

Cites

34 of 34 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The discreteness of loop quantum gravity is a property of the quantum representation.

    “The discreteness of LQG is a property of the quantum representation [18].”

    From Spin-foams for all loop quantum gravity (2010) · cites this paper as [18]

  • Classically, the geometry of a tetrahedron in a triangulated 3-manifold is characterized by its edge lengths up to rescaling and reflection, and can be studied with Regge calculus.

    “Classically, its geometry is characterized by its edge lengths (up to rescaling and reflection), and it can be studied with the discretized version of general relativity given by Regge calculus [49,50].”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 1

  1. [ADM62] R. Arnowitt, S. Deser, and C. W. Misner. The dynamics of general relativity. In L. Witten, editor, Gravitation. An introduction to current research , page 227, New York, 1962. Wiley.

Cited by

Sorted by citations

Authors
Reisenberger, M. P.
Affiliations
Pennsylvania State University (US)
Corresponding author
Reisenberger, Michael P
Venue
Classical and Quantum Gravity
Published
1997-07-01
Volume
14
Issue
7
Pages
1753-1770
ISSN
  • 0264-9381 (ISSN-L)
  • 1361-6382
OpenAlex
W2016734341
Cited by
73
References
34
Citations by year
2023: 1 · 2021: 2 · 2020: 1 · 2019: 1 · 2016: 2 · 2014: 4 · 2013: 1 · 2012: 3
FWCI
6.76
Type
journal article
Language
en
Open access
Locations
  • Classical and Quantum Gravity (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
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
simplicial complexes, lattice gravity, continuum limit

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review