The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
On the trace-free Einstein equations as a viable alternative to general relativity
Open accessAbstract
The quantum field theoretical prediction for the vacuum energy density leads to a value for the effective cosmological constant that is incorrect by between 60 and 120 orders of magnitude. We review an old proposal of replacing Einstein's field equations by their trace-free part (the trace-free Einstein equations), together with an independent assumption of energy–momentum conservation by matter fields. While this does not solve the fundamental issue of why the cosmological constant has the value that is observed cosmologically, it is indeed a viable theory that resolves the problem of the discrepancy between the vacuum energy density and the observed value of the cosmological constant. However, one has to check that, as well as preserving the standard cosmological equations, this does not destroy other predictions, such as the junction conditions that underlie the use of standard stellar models. We confirm that no problems arise here: hence, the trace-free Einstein equations are indeed viable for cosmological and astrophysical applications.
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The cosmological constant problem
Weinberg, S. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.1 · Cited by 7,341 · cited 5×
“ve cosmological constant causing an accelerated expansion of the universe; but simple estimates of its magnitude are very large, exceeding the observed value by between 60 and 120 orders of magnitude [21, 4, 14]. Even apart from this, the interpretation of dark energy is a major puzzle [19]. But for present purposes,…”
BackgroundMethodInfluential
Cited by
Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 2,734
Martin, J. (2012) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2012.04.008 · Cited by 913
BeyondΛCDM: Problems, solutions, and the road ahead
Bull, P., Akrami, Y., Adamek, J., Baker, T., Bellini, E., Beltrán Jiménez, J., Bentivegna, E., Camera, S., Clesse, S., Davis, J. H., et al. (2016) · Physics of the Dark Universe · doi:10.1016/j.dark.2016.02.001 · Cited by 567
Metadata
- Authors
- Ellis, G. F. R., van Elst, H., Murugan, J., & Uzan, J.-P.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2011-10-18
- Volume
- 28
- Issue
- 22
- Pages
- 225007
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2141161241
- Cited by
- 232
- References
- 1
- FWCI
- 2.77
- Type
- journal article
- Language
- en
- Open access
- bronze
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On the trace-free Einstein equations as a viable alternative to general relativity. https://app.cochat.ai/papers/10.1088/0264-9381/28/22/225007
- The paper
- Ellis, G. F. R., van Elst, H., Murugan, J., & Uzan, J.-P. (2011). On the trace-free Einstein equations as a viable alternative to general relativity. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/28/22/225007
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
