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Classical Aspects of Higher Spin Topologically Massive Gravity

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arxiv 1204.3282 v2 pith:LS4W7KUT submitted 2012-04-15 hep-th gr-qc

Classical Aspects of Higher Spin Topologically Massive Gravity

classification hep-th gr-qc
keywords higherspinsolutionsgravityclassicalfieldsfindkilling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the classical solutions of three dimensional topologically massive gravity (TMG) and its higher spin generalization, in the first order formulation. The action of higher spin TMG has been proposed in arXiv:1110.5113 to be of a Chern-Simons-like form. The equations of motion are more complicated than the ones in pure higher spin AdS$_3$ gravity, but are still tractable. As all the solutions in higher spin gravity are automatically the solutions of higher spin TMG, we focus on other solutions. We manage to find the AdS pp-wave solutions with higher spin hair, and find that the nonvanishing higher spin fields may or may not modify the pp-wave geometry. In order to discuss the warped spacetime, we introduce the notion of special Killing vector, which is defined to be the symmetry on the frame-like fields. We reproduce various warped spacetimes of TMG in our framework, with the help of special Killing vectors.

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  1. Minimal Massive Gravity Coupled to Higher Spins

    hep-th 2026-07 conditional novelty 6.0

    Minimal Massive Gravity is coupled to a finite sl(N) tower of higher-spin fields, giving a Stückelberg formulation, AdS2 x S1 hair solutions, and two massive modes (spin j and j-2) for each spin-j > 2 field.