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Linearized Modes in Extended and Critical Gravities

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arxiv 1108.5184 v1 pith:DTNRWJI2 submitted 2011-08-25 hep-th gr-qc

Yi-Xin Chen , H. Lu , Kai-Nan Shao This is my paper · ORCID
classification hep-thgr-qc
keywords modesgravitiesconditioncriticaldimensionsextendedlinearizedallows
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We construct explicit solutions for the linearized massive and massless spin-2, vector and scalar modes around the AdS spacetimes in diverse dimensions. These modes may arise in extended (super)gravities with higher curvature terms in general dimensions. Log modes in critical gravities can also be straightforwardly deduced. We analyze the properties of these modes and obtain the tachyon-free condition, which allows negative mass square for these modes. However, such modes may not satisfy the standard AdS boundary condition and can be truncated out from the spectrum.

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