Nonlinear dynamics of 3D massive gravity

More on Massive 3D Gravity

We explore the space of static solutions of the recently discovered three-dimensional ‘New Massive Gravity’ (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant λ. For λ = −1 we find black hole solutions asymptotic (but not isometric) to the unique (anti) de Sitter vacuum, including extremal black holes that interpolate be...

Nonlinear Properties of Vielbein Massive Gravity

We consider a special theory of massive gravity, which is obtained in a decoupling limit from a bi– gravity theory in the vielbein formulation, with only cosmological constant-like interactions between the two gravitational sectors. We investigate this theory using the Stückelberg method, and construct a ’t Hooft–Feynman gauge fixing in which the tensor, vector and scalar Stückelberg fields are...

Nonlinear partially massless from massive gravity?

We show that consistent nonlinear partially massless models cannot be obtained starting from ‘‘f-g’’ massive gravity, with ‘‘f’’ the embedding de Sitter space. The obstruction, which is also the source of f-g acausality, is the very same fifth constraint that removes the notorious sixth ghost excitation. Here, however, it blocks extension of the gauge invariance (appearing for mass to de Sitter...

Nonlinear Fluid Dynamics From Gravity

Nonlinear electrodynamics in 3D gravity with torsion

We study exact solutions of nonlinear electrodynamics coupled to 3D gravity with torsion. We show that in any static and spherically symmetric configuration, at least one component of the electromagnetic field has to vanish. In the electric sector of the theory, we construct an exact solution, characterized by the azimuthal electric field. When the electromagnetic action is modified by a topolo...