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Critical Gravity in Four Dimensions
Open accessAbstract
We study four-dimensional gravity theories that are rendered renormalizable by the inclusion of curvature-squared terms to the usual Einstein action with a cosmological constant. By choosing the parameters appropriately, the massive scalar mode can be eliminated and the massive spin-2 mode can become massless. This "critical" theory may be viewed as a four-dimensional analogue of chiral topologically massive gravity, or of critical "new massive gravity" with a cosmological constant, in three dimensions. We find that the on-shell energy for the remaining massless gravitons vanishes. There are also logarithmic spin-2 modes, which have positive energy. The mass and entropy of standard Schwarzschild-type black holes vanish. The critical theory might provide a consistent toy model for quantum gravity in four dimensions.
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Citations
Cited by
de Rham, C. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-7 · Cited by 1,120
Nordstrom's scalar theory of gravity and the equivalence principle
Deruelle, N. (2011) · General Relativity and Gravitation · doi:10.1007/s10714-011-1247-x · Cited by 59
Types III andNsolutions to quadratic gravity
Málek, T., & Pravda, V. (2011) · Physical Review D · doi:10.1103/physrevd.84.024047 · Cited by 33
Metadata
- Authors
- Lü, H., & Pope, C. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-05-06
- Volume
- 106
- Issue
- 18
- Pages
- 181302-181302
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2027548982
- Cited by
- 254
- References
- 0
- FWCI
- 20.27
- Type
- journal article
- Language
- en
- Open access
- green
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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.
