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.

arXiv comment11 pages, 1 figure, minor typo in eq. (4) corrected

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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