Causality in 3D Massive Gravity Theories

Abstract

We study the constraints coming from local causality requirement in various $2+1$ dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive gravity, with two massive spin-$2$ degrees of freedom, causality and unitarity are compatible with each other and both require the Newton's constant to be negative. In their extensions, such as the Born-Infeld gravity and the minimal massive gravity the situation is similar and quite different from their higher dimensional counterparts, such as quadratic (e.g., Einstein-Gauss-Bonnet) or cubic theories, where causality and unitarity are in conflict. We study the problem both in asymptotically flat and asymptotically anti-de Sitter spaces.

arXiv commentThis version has significant improvements: causality discussion of all the well-known gravity theories in flat space is extended to the AdS space, references added, 29 pages, latest version matches the published one

References in corpus (36)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Massive Gravity in Three Dimensions
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Chiral Gravity in Three Dimensions
• More on Massive 3D Gravity
• Theorems on gravitational time delay and related issues
• Instability in cosmological topologically massive gravity at the chiral point
• Eikonal Quantum Gravity and Planckian Scattering
• Black holes in three dimensional higher spin gravity: A review
• Lifshitz Black Hole in Three Dimensions
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Born-Infeld extension of new massive gravity
• Minimal Massive 3D Gravity
• Bending AdS Waves with New Massive Gravity
• Quantum Gravitational Optics
• Exploring AdS Waves Via Nonminimal Coupling
• Consistent boundary conditions for cosmological topologically massive gravity at the chiral point
• Exact Results for the BTZ Black Hole
• Zwei-Dreibein Gravity
• c-functions in the Born-Infeld extended New Massive Gravity
• Canonical Structure of Higher Derivative Gravity in 3D
• AdS-plane wave and pp-wave solutions of generic gravity theories
• Static spherically symmetric solutions for conformal gravity in three dimensions
• Ultra--Planck Scattering in D=3 Gravity Theories
• Minimal Log Gravity
• Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity
• The gravitational S-matrix: Erice lectures
• Bulk and Boundary Unitary Gravity in 3D: MMG${}_2$
• Logarithmic AdS Waves and Zwei-Dreibein Gravity
• Unitarity Problems in 3$D$ Gravity Theories
• Is BTZ a separate superselection sector of CTMG?
• More on Cotton Flow
• Scattering in Topologically Massive Gravity, Chiral Gravity and the corresponding Anyon-Anyon Potential Energy

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• A cautionary case of casual causality
• Swampland Conditions for Higher Derivative Couplings from CFT
• On the Butterfly Effect in 3D Gravity
• Holographic c-theorem and Born-Infeld Gravity Theories
• Closed Strings and Weak Gravity from Higher-Spin Causality
• Causality bounds chaos in geodesic motions
• Quantum Information Theory of the Gravitational Anomaly
• Causality Constraints in Large $N$ QCD Coupled to Gravity
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• Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
• Solutions with pure radiation and gyratons in 3D massive gravity theories
• Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and Causality
• Causality constraints in Quadratic Gravity
• Cotton Double Copy for Gravitational Waves
• Unitarity and Different Phases of the Extended New Massive Gravity
• Impulsive gravitational waves in general massive 3D gravity