Three Dimensional Modified Gravities as Holographic Limits of Lancsoz-Lovelock Theories

Abstract

We define a "holographic limit" of Lancsoz-Lovelock theories at the Lagrangian level which gives three-dimensional modified gravity theories. We also show that this limit applies to more general classes of theories in higher dimensions provided that they admit the holographic c-theorem.

11 pages, 1 figure, minor typo in eq. (4) corrected

References in corpus (17)

• Massive Gravity in Three Dimensions
• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• More on Massive 3D Gravity
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Born-Infeld extension of new massive gravity
• Amplitudes and 4D Gauss-Bonnet Theory
• New massive gravity, extended
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• c-functions in the Born-Infeld extended New Massive Gravity
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• Spectra, vacua and the unitarity of Lovelock gravity in D-dimensional AdS spacetimes

Cited by in corpus (12)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Vacua and Exact Solutions in Lower-$D$ Limits of EGB
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Regular BTZ black holes from an infinite tower of corrections
• 3D Lovelock Gravity and the Holographic c-Theorem
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• Nonlocal Massive Gravity from Einstein Gravity
• Conformal/Poincaré Coset, Cosmology, and Descendants of Lovelock Terms
• Aspects of three-dimensional higher-curvature gravities