Nonlocal Massive Gravity from Einstein Gravity
arXiv:2312.04637 · doi:10.1103/PhysRevLett.132.191402
Abstract
We present a top-down construction of a three-dimensional non-local theory of massive gravity. This "Non-Local Massive Gravity" (NLMG) is obtained as the gravitational theory induced by Einstein gravity on a brane inserted in Anti-de Sitter space modified by an overall minus sign. The theory involves an infinite series of increasingly complicated higher-derivative corrections to the Einstein-Hilbert action, with the quadratic term coinciding with New Massive Gravity. We obtain an analytic formula for the quadratic action of NLMG and show that its linearized spectrum consists of an infinite tower of positive-energy massive spin-2 modes. We compute the Newtonian potential and show that the introduction of the infinite series of terms makes it behave as at short distances, as opposed to the logarithmic behavior encountered when the series is truncated at any finite order. We use this and input from brane-world holography to argue that the theory may contain asymptotically flat black hole solutions.
arXiv comment7 pages, 2 figures; v2: new discussions and references added. Version published in PRL
References in corpus (40)
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Massive Gravity in Three Dimensions
- Towards singularity and ghost free theories of gravity
- Bouncing Universes in String-inspired Gravity
- AdS/CFT and gravity
- Holography and Compactification
- The Gravitational Action in Asymptotically AdS and Flat Spacetimes
- Massive Islands
- Mass-gap for black hole formation in higher derivative and ghost free gravity
- Ghost-free, finite, fourth order D=3 (alas) gravity
- On the new massive gravity and AdS/CFT
- Classical properties of non-local, ghost- and singularity-free gravity
- Consistent Spin-Two Coupling and Quadratic Gravitation
- Gravity in Warped Compactifications and the Holographic Stress Tensor
- Born-Infeld extension of new massive gravity
- Aspects of general higher-order gravities
- Minimal Massive 3D Gravity
- Quantum BTZ black hole
- Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
- New massive gravity, extended
- The gravitational field of static p-branes in linearized ghost-free gravity
- Zwei-Dreibein Gravity
- Massive Gravity Theories and limits of Ghost-free Bigravity models
- Unitarity analysis of general Born-Infeld gravity theories
- Black holes in dS
- All unitary cubic curvature gravities in D dimensions
- Counterterms, Kounterterms, and the variational problem in AdS gravity
- Exotic Massive 3D Gravity
- On massive gravitons in 2+1 dimensions
- Extended massive gravity in three dimensions
- Unitarity versus Renormalizability of Higher Derivative Gravity in 3D
- All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
- Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
- Three-dimensional massive gravity and the bigravity black hole
- Exotic massive 3D gravities from truncation
- Bachian Gravity in Three Dimensions
- Three Dimensional Modified Gravities as Holographic Limits of Lancsoz-Lovelock Theories
- Unitarity Problems in 3 Gravity Theories
- 3D Lovelock Gravity and the Holographic c-Theorem
- The Holographic c-theorem and Infinite-dimensional Lie Algebras