Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity

Abstract

The asymptotic behavior of new massive gravity (NMG) is analyzed for all values of the mass parameter satisfying the Breitenlohner-Freedman bound. The traditional Fefferman-Graham expansion fails to capture the dynamics of NMG, and new terms in the asymptotic expansion are needed to include the massive graviton modes. New boundary conditions are discovered for a range of values $-1<2m^2{l}^2<1$ at which non-Einstein modes decay more slowly than the Brown-Henneaux boundary conditions. The holographically renormalized stress tensor is computed for these modes, and the relevant counterterms are identified up to unphysical ambiguities.

References in corpus (22)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Critical Gravity in Four Dimensions
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Critical Points of D-Dimensional Extended Gravities
• Note on New Massive Gravity in $Ad{S}_3$
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• On the Hamiltonian form of 3D massive gravity
• More on New Massive Gravity: Exact Solutions
• Mass and Angular momentum of Black Holes in New Massive Gravity
• Quasi Normal Modes for New Type Black Holes in New Massive Gravity
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Charged Black Holes in New Massive Gravity
• Hamiltonian analysis of BHT massive gravity
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Extra gauge symmetries in BHT gravity
• Black-hole dynamics in BHT massive gravity

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• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Holographic anomaly in 3d f(Ric) gravity
• New modes from higher curvature corrections in holography
• Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS boundary conditions