The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
On the extra mode and inconsistency of Hořava gravity
Open accessAbstract
We address the consistency of Hořava's proposal for a theory of quantum gravity from the low-energy perspective. We uncover the additional scalar degree of freedom arising from the explicit breaking of the general covariance and study its properties. The analysis is performed both in the original formulation of the theory and in the Stuckelberg picture. A peculiarity of the new mode is that it satisfies an equation of motion that is of first order in time derivatives. At linear level the mode is manifest only around spatially inhomogeneous and time-dependent backgrounds. We find two serious problems associated with this mode. First, the mode develops very fast exponential instabilities at short distances. Second, it becomes strongly coupled at an extremely low cutoff scale. We also discuss the ``projectable'' version of Hořava's proposal and argue that this version can be understood as a certain limit of the ghost condensate model. The theory is still problematic since the additional field generically forms caustics and, again, has a very low strong coupling scale. We clarify some subtleties that arise in the application of the Stuckelberg formalism to Hořava's model due to its non-relativistic nature.
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
Quantum gravity at a Lifshitz point
Hořava, P. (2009) · Physical Review D · doi:10.1103/physrevd.79.084008 · Cited by 2,666
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
Classical gravity with higher derivatives
Stelle, K. S. (1978) · General Relativity and Gravitation · doi:10.1007/bf00760427 · Cited by 1,379
Causality, analyticity and an IR obstruction to UV completion
Adams, A., Arkani-Hamed, N., Dubovsky, S., Nicolis, A., & Rattazzi, R. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/10/014 · Cited by 1,041
Ghost Condensation and a Consistent IR Modification of Gravity
Hamed, N. A., Cheng, H. S., Luty, M. A., & Mukohyama, S. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/05/074 · Cited by 996
Effective field theory for massive gravitons and gravity in theory space
Arkani-Hamed, N., Georgi, H., & Schwartz, M. D. (2003) · Annals of Physics · doi:10.1016/s0003-4916(03)00068-x · Cited by 755
k-Essence, superluminal propagation, causality and emergent geometry
Babichev, E., Mukhanov, V., & Vikman, A. (2008) · Journal of High Energy Physics · doi:10.1088/1126-6708/2008/02/101 · Cited by 449
Strong coupling in Hořava gravity
Charmousis, C., Niz, G., Padilla, A., & Saffin, P. M. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/08/070 · Cited by 353
Null energy condition and superluminal propagation
Dubovsky, S., Grégoire, T., Nicolis, A., & Rattazzi, R. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/03/025 · Cited by 347
L.Dubovsky, S. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/10/076 · Cited by 286
Cited by
Consistent Extension of Hořava Gravity
Blas, D., Pujolàs, O., & Sibiryakov, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.181302 · Cited by 591
Self-citationTesting general relativity in cosmology
Ishak, M. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-018-0017-4 · Cited by 449
General covariance in quantum gravity at a Lifshitz point
Hořava, P., & Melby-Thompson, C. M. (2010) · Physical Review D · doi:10.1103/physrevd.82.064027 · Cited by 261
Hořava-Lifshitz gravity: a status report
Sotiriou, T. P. (2011) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/283/1/012034 · Cited by 247
Dark matter as integration constant in Hořava-Lifshitz gravity
Mukohyama, S. (2009) · Physical Review D · doi:10.1103/physrevd.80.064005 · Cited by 198
Metadata
- Authors
- Blas, D., Pujolàs, O., & Sibiryakov, S.
- Venue
- Journal of High Energy Physics
- Published
- 2009-10-12
- Volume
- 2009
- Issue
- 10
- Pages
- 029-029
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1978119830
- Cited by
- 310
- References
- 19
- FWCI
- 29.88
- 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 extra mode and inconsistency of Hořava gravity. https://app.cochat.ai/papers/10.1088/1126-6708/2009/10/029
- The paper
- Blas, D., Pujolàs, O., & Sibiryakov, S. (2009). On the extra mode and inconsistency of Hořava gravity. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/2009/10/029
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.