Journal
PROGRESS OF THEORETICAL PHYSICS
Volume 124, Issue 3, Pages 503-515Publisher
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
DOI: 10.1143/PTP.124.503
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Funding
- JSPS [09314, 21244033]
- Global COE Program The Next Generation of Physics, Spun from Universality and Emergence
- Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan
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The study of linear perturbation theory for general functions of the Ricci and Gauss-Bonnet scalars is carried out over an empty anisotropic universe, i.e., the Kasner-type background, in order to show that an anisotropic background in general has ghost degrees of freedom, which are absent on Friedmann-Lemaitre-Robertson-Walker (FLRW) backgrounds. The study of the scalar perturbation reveals that on this background the number of independent propagating degrees of freedom is four and reduces to three on FLRW backgrounds, as one mode becomes highly massive to decouple from the physical spectrum. When this mode remains physical, there is inevitably a ghost mode.
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