Matter coupling in 3D "Minimal Massive Gravity"

Alasdair J. Routh; Alex S. Arvanitakis; Paul K. Townsend

Matter coupling in 3D "Minimal Massive Gravity"

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arxiv 1407.1264 v3 pith:2WPC4TB2 submitted 2014-07-04 hep-th gr-qc

Alex S. Arvanitakis , Alasdair J. Routh , Paul K. Townsend This is my paper · ORCID

classification hep-thgr-qc

keywords gravitymassivematterminimalpropertiessolutionstensorvacuum

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The "Minimal Massive Gravity" (MMG) model of massive gravity in three spacetime dimensions (which has the same anti-de Sitter (AdS) bulk properties as "Topologically Massive Gravity" but improved boundary properties) is coupled to matter. Consistency requires a particular matter source tensor, which is quadratic in the stress tensor. The consequences are explored for an ideal fluid in the context of asymptotically de-Sitter (dS) cosmological solutions, which bounce smoothly from contraction to expansion. Various vacuum solutions are also found, including warped-(A)dS, and (for special values of parameters) static black holes and an (A)dS2 x S1 vacuum.

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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.

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