Matter coupling in 3D ‘minimal massive gravity’

Abstract

The ‘minimal massive gravity’ 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)dS vacuum.