Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 39, Issue 1, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ac25e2
Keywords
quadratic curvature functional; Brinkmann wave; massive gravity; critical metric
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Funding
- AEI/FEDER, Spain [PID2019-105138GB-C21]
- Xunta de Galicia, Spain [ED431C 2019/10, ED431F 2020/04]
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This article investigates the critical three-dimensional Brinkmann waves for quadratic curvature functionals. It is found that if a metric is critical for some functional, it is critical for all of them. Additionally, four special functionals are identified that do not share critical metrics with any other quadratic functional. Furthermore, it is shown that these metrics provide explicit solutions for different massive gravity models.
Three-dimensional Brinkmann waves which are critical for quadratic curvature functionals are determined. Generically, if the metric is critical for some functional then it is critical for all of them. In contrast, there are four special functionals that do not share critical metrics with any other quadratic functional. It is also shown that these metrics provide explicit solutions for different massive gravity models.
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