The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Theoretical aspects of massive gravity
Open accessAbstract
Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the van Dam, Veltman, and Zakharov (vDVZ) discontinuity and the Boulware-Deser ghost were uncovered. These results are rederived in a pedagogical manner and the St\"uckelberg formalism to discuss them from the modern effective field theory viewpoint is developed. Recent progress of the last decade is reviewed, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, and the existence of particular interactions which raise the maximal effective field theory cutoff and remove the ghosts. In addition, some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra dimensions and brane worlds are reviewed.
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
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
Large Mass Hierarchy from a Small Extra Dimension
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3370 · Cited by 9,227
The cosmological constant problem
Weinberg, S. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.1 · Cited by 7,341
4D gravity on a brane in 5D Minkowski space
Dvali, G., Gabadadze, G., & Porrati, M. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00669-9 · Cited by 3,513
Republication of: The dynamics of general relativity
Arnowitt, R., Deser, S., & Misner, C. W. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-008-0661-1 · Cited by 2,284
Galileon as a local modification of gravity
Nicolis, A., Rattazzi, R., & Trincherini, E. (2009) · Physical Review D · doi:10.1103/physrevd.79.064036 · Cited by 1,863
Massive and mass-less Yang-Mills and gravitational fields
van Dam, H., & Veltman, M. (1970) · Nuclear Physics B · doi:10.1016/0550-3213(70)90416-5 · Cited by 1,288
A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics
Poisson, E. (2004) · doi:10.1017/cbo9780511606601 · Cited by 1,035
Deffayet, C., Deser, S., & Esposito-Farèse, G. (2009) · Physical Review D · doi:10.1103/physrevd.80.064015 · Cited by 719
Cited by
The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
Theory and Experiment in Gravitational Physics
Will, C. M. (2018) · doi:10.1017/9781316338612 · Cited by 3,637
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
Beyond the cosmological standard model
Joyce, A., Jain, B., Khoury, J., & Trodden, M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.002 · Cited by 1,231
de Rham, C. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-7 · Cited by 1,120
Metadata
- Authors
- Hinterbichler, K.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2012-05-07
- Volume
- 84
- Issue
- 2
- Pages
- 671-710
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2055257339
- Cited by
- 1,086
- References
- 14
- FWCI
- 57.76
- Type
- journal article
- Language
- en
- Open access
- green
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: Theoretical aspects of massive gravity. https://app.cochat.ai/papers/10.1103/revmodphys.84.671
- The paper
- Hinterbichler, K. (2012). Theoretical aspects of massive gravity. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.84.671
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.