CoChat
Sign Up
Cited by 69Relativity and Gravitational TheoryGeometric Analysis and Curvature FlowsAdvanced Differential Geometry Research

A slice theorem for the space of solutions of Einstein's equations

Isenberg, James, Marsden, Jerrold E.·1982·Physics Reports
DOI 10.1016/0370-1573(82)90066-7
Open this paper in CoChat — free account

Integrity signals

Registry

Crossref · 10.1016/0370-1573(82)90066-7

Cites

1 of 1 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

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?

  • Since the space of solutions of the Einstein equations in 3+1 dimensions has a similar orbifold structure, one might expect a similar ambiguity in realistic 3+1 quantum gravity.

    “Since the space of solutions of the Einstein equations in 3 + 1 dimensions has a similar orbifold structure [163], we might expect a similar ambiguity in realistic (3 + 1)-dimensional quantum gravity.”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [163]

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Authors
Isenberg, J., & Marsden, J. E.
Affiliations
University of California, Berkeley (US)
ORCID
Isenberg, James
Venue
Physics Reports
Publisher
Elsevier BV
Published
1982-09
Volume
89
Issue
2
Pages
179-222
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/0370-1573(82)90066-7
OpenAlex
W1977987442
Cited by
69
References
1
Citations by year
2025: 2 · 2024: 2 · 2023: 1 · 2021: 6 · 2020: 1 · 2019: 3 · 2018: 3 · 2017: 4 · 2016: 2 · 2015: 3 · 2014: 2
FWCI
3.54
Type
journal article
Language
en
Open access
closed
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Physics Reports (publishedVersion)
  • CaltechAUTHORS (California Institute of Technology) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
Keywords
slice theorem, Einstein's equations, diffeomorphism groups, solution space, globally hyperbolic spacetimes, conical singularities, ADM formalism, infinite-dimensional Hamiltonian systems, constant mean curvature foliation, constant mean curvature surfaces, stratified manifolds, symplectic manifolds, Bianchi cosmology, Einstein-Yang-Mills equations

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