A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function

Abstract

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field equations are of second order, and the theory admits a new asymptotically locally flat black hole. Furthermore, we prove the uniqueness of this solution, study its thermodynamical properties, and show the existence of a C-function for the theory following the arguments of Anber and Kastor (arXiv:0802.1290 [hep-th]) in pure Lovelock theories. Finally, we include the Einstein-Gauss-Bonnet and cosmological terms and we find new asymptotically AdS black holes at the point where the three maximally symmetric solutions of the theory coincide. These black holes may also possess a Cauchy horizon.

21 pages, no figures, V2: two appendices and some references added, V3: New section on the generalization to arbitrary higher order. Analogy with BHT new massive gravity Lagrangian made more precise, V4: Typos corrected. To appear in CQG

References in corpus (19)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Static wormhole solution for higher-dimensional gravity in vacuum
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
• On black strings & branes in Lovelock gravity
• A C-Function For Non-Supersymmetric Attractors
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Vacuum solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory
• Moduli flow and non-supersymmetric AdS attractors
• Vacuum static compactified wormholes in eight-dimensional Lovelock theory
• General Relativity with small cosmological constant from spontaneous compactification of Lovelock theory in vacuum
• A Note on E11 and Three-dimensional Gauged Supergravity
• Flaxino dark matter and stau decay
• C-Functions in Lovelock Gravity
• Exact Solutions in Five-Dimensional Axi-dilaton Gravity with Euler-Poincare Term

Cited by in corpus (89)

• Holographic c-theorems in arbitrary dimensions
• Einsteinian cubic gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• Aspects of general higher-order gravities
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• Lovelock theories, holography and the fate of the viscosity bound
• Thermodynamics of hairy black holes in Lovelock gravity
• Quantum corrections to thermodynamics of quasitopological black holes
• Generalized quasi-topological gravities: the whole shebang
• Quasi-Topological Lifshitz Black Holes
• Slowly rotating black holes in Einsteinian cubic gravity
• Holographic Superconductors in Quasi-topological Gravity
• Energy Flux Positivity and Unitarity in CFTs
• Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes
• On the classification of Generalized Quasitopological Gravities
• Chaos from the ring string in Gauss-Bonnet black hole in $Ad{S}_5$ space
• Gauss-Bonnet lagrangian G ln G and cosmological exact solutions
• Regular black holes inspired by quasi-topological gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Quasi-topological Reissner-Nordström Black Holes
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• Generalized Pure Lovelock Gravity
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Third order Lovelock black branes in the presence of a nonlinear electromagnetic field
• Dymnikova black hole from an infinite tower of higher-curvature corrections
• Black Hole Chemistry: the first 15 years
• Inner-extremal regular black holes from pure gravity
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• Electromagnetic Quasinormal modes of Dyonic AdS black holes with quasi-topological electromagnetism in a Horndeski gravity theory mimicking EGB gravity at $D\to 4$
• The tetralogy of Birkhoff theorems
• Black holes in quasi-topological gravity and conformal couplings
• Horizon Thermodynamics and Gravitational Field Equations in Quasi-Topological Gravity
• Higher-derivative holography with a chemical potential
• Holographic Studies of The Generic Massless Cubic Gravities
• Lovelock solutions in the presence of matter sources
• Analytically Approximation Solution to Einstein-Cubic Gravity
• A universal feature of charged entanglement entropy
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Excluding static and spherically symmetric black holes in Einsteinian cubic gravity with unsuppressed higher-order curvature terms
• Towards the Cardy formula for hyperscaling violation black holes
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Holographic fermions in charged Gauss-Bonnet black hole
• Fully resonant scalars on asymptotically AdS wormholes
• Holographic explorations of regular black holes in pure gravity
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• On the Lagrangian Holographic Relation at $D\to 2$ and $4$ Limits of Gravity
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• Black-hole dynamics in BHT massive gravity
• Slowly rotating black holes in Quasi-topological gravity
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• Symmetry reduction of gravitational Lagrangians
• Yang-Mills black holes in Quasitopological gravity
• Non-Noetherian conformal scalar fields
• Charged rotating black strings in Einsteinian cubic gravity
• De Sitter geometric inflation from dynamical singularities
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Higher order gravities and the Strong Equivalence Principle
• Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities
• Conformal/Poincaré Coset, Cosmology, and Descendants of Lovelock Terms
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• On regular charged black holes in three dimensions
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• Quasi-topological Gravities on General Spherically Symmetric Metric
• Black hole solutions to Einstein-Bel-Robinson gravity
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Regular black holes from pure gravity in four dimensions
• Born-Infeld Type Extension of (Non-)Critical Gravity
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Gravitational Wormholes
• Existence of Vacuum Wormholes in Einsteinian Cubic Gravity
• $c$-functions in Higher-derivative Flows Across Dimensions
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Birkhoff's Theorem and Uniqueness: A Peek Beyond General Relativity
• Holographic RG Flows from Quasi-Topological Gravity
• Thermodynamics of static solutions in (n+1)-dimensional Quintic Quasitopological gravity
• Does the metric play a fundamental role in the building of gravitational models?
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Self-Duality from New Massive Gravity Holography
• Instability of regular planar black holes in four dimensions arising from an infinite sum of curvature corrections
• Aspects of three-dimensional higher-curvature gravities
• Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities
• Quantum Einsteinian Cubic Cosmology