On 3D Minimal Massive Gravity

Abstract

We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. We observe that the resultant linearized equations are exactly the same as that of TMG by making use of a redefinition of the parameters of the model. In particular the model admits logarithmic modes at the critical points. We also study several vacuum solutions of the model, specially at a certain limit where the contribution of Chern-Simons term vanishes.

15 pages, no figures, typos fixed, journal version

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Cited by in corpus (24)

• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• On Complexity Growth in Minimal Massive 3D Gravity
• Minimal Log Gravity
• Entropy functionals and c-theorems from the second law
• On Solutions of Minimal Massive 3D Gravity
• On the Butterfly Effect in 3D Gravity
• Bulk and Boundary Unitary Gravity in 3D: MMG${}_2$
• On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
• Bachian Gravity in Three Dimensions
• Criticality in Third Order Lovelock Gravity and the Butterfly effect
• Unitarity Problems in 3$D$ Gravity Theories
• Kundt solutions of Minimal Massive 3D Gravity
• Linearization Instability for Generic Gravity in AdS
• New Improved Massive Gravity and Three Dimensional Spacetimes of Constant Curvature and Constant Torsion
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Hamiltonian formalism of Minimal Massive Gravity
• Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
• Holographically Viable Extensions of Topologically Massive and Minimal Massive Gravity?
• Holographic Renormalization of 3D Minimal Massive Gravity
• Circularly symmetric solutions of Minimal Massive Gravity at its merger point
• Evanescent gravitons in Warped Anti-de Sitter space
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory