Massive gravity with mass term in three dimensions

Abstract

We analyze the effect of the Pauli-Fierz mass term on a recently established, new massive gravity theory in three space-time dimensions. We show that the Pauli-Fierz mass term makes the new massive gravity theory non-unitary. Moreover, although we add the gravitational Chern-Simons term to this model, the situation remains unchanged and the theory stays non-unitary in spite that structure of the graviton propagator is greatly changed. Thus, the Pauli-Fierz mass term is not allowed to coexist with massgenerating higher-derivative terms in the new massive gravity.

Consistent boundary conditions for new massive gravity inAdS3

“…In this note we will first study the consistency of the Brown-Henneaux boundary conditions with the new massive gravity in asymptotically AdS 3 . We find that Brown-Henneaux boundary conditions are consistent with the theory for any value of the mass parameter.…”

“…This new massive gravity is equivalent to the Pauli-Fierz action for a massive spin-2 field at the linearized level in asymptotically Minkowski spacetime. In [2,3], the unitarity of this new massive gravity and the new massive gravity with a Pauli-Fierz mass term was examined. Warped AdS black hole solutions for this new massive gravity with a negative cosmological constant have been found in [4].…”

RG flow and thermodynamics of causal horizons in higher-derivative AdS gravity

“…In this section we will consider the example of F (R) gravity which is an example of higher curvature theory for which the entropy expression satisfying the second law to all orders is known [15]. This is also a theory whose the equation of motion is fourth order, but it still gives rise to a unitary bulk theory [38][39][40][41]. We will construct the corresponding c function in this section.…”

“…In this case the entropy expression satisfying the second law to all orders is known [15] and we construct the holographic c-function using this. This is an example of a theory which has fourth order equation of motion, but the bulk theory is still unitary [38,39].…”

Motion and trajectories of photons in a three-dimensional rotating Hořava-AdS black hole

“…Also, BHT gravity admits exact solutions such as warped AdS black holes [15], AdS waves [16,17], asymptotically Lifshitz black holes [18], gravitational solitons, kinks and wormholes [19]. For further aspects of BHT gravity see [20][21][22][23][24].…”