Generalized quasi-topological gravity

Abstract

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable properties: i) it has a well-defined Einstein gravity limit ii) it admits `Schwarzschild-like' solutions characterized by a single metric function iii) on maximally symmetric backgrounds it propagates the same degrees of freedom as Einstein's gravity iv) Lovelock and quasi-topological gravities, as well as the recently developed Einsteinian cubic gravity [ArXiv:1607.06463] in four dimensions, are recovered as special cases. We perform a brief analysis of asymptotically flat black holes in this theory and study their thermodynamics.

19 pages, 1 figure

References in corpus (11)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Holographic c-theorems in arbitrary dimensions
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Superfluid Black Holes
• Einsteinian cubic gravity
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• 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
• Quintic quasi-topological gravity

Cited by in corpus (80)

• Shadows, Signals, and Stability in Einsteinian Cubic Gravity
• (Generalized) quasi-topological gravities at all orders
• Quasinormal modes and Hawking radiation of black holes in cubic gravity
• Cosmology in cubic and $f(P)$ gravity
• On black holes in higher-derivative gravities
• Regularized Lovelock gravity
• Towards geometric inflation: the cubic case
• Regular black holes in three dimensions
• Universal black hole stability in four dimensions
• Universality of squashed-sphere partition functions
• Generalized quasi-topological gravities: the whole shebang
• On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes
• Slowly rotating black holes in Einsteinian cubic gravity
• Non-polynomial Lagrangian approach to Regular Black Holes
• NUTs and bolts beyond Lovelock
• Electromagnetic Quasitopological Gravities
• Gravitational Lensing by Black Holes in Einsteinian Cubic Gravity
• On the strong coupling of Einsteinian Cubic Gravity and its generalisations
• Rotating Black Holes in Cubic Gravity
• On the classification of Generalized Quasitopological Gravities
• Regular black holes inspired by quasi-topological gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• Anisotropic instability in a higher order gravity theory
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Ineffective Higher Derivative Black Hole Hair
• Generalized Pure Lovelock Gravity
• Aspects of Geometric Inflation
• Quasi-Topological Ricci Polynomial Gravities
• Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• Novel higher-curvature variations of $R^2$ inflation
• Modified "complexity equals action" conjecture
• Global asymptotic dynamics of Cosmological Einsteinian Cubic Gravity
• Higher-derivative holography with a chemical potential
• Holographic Studies of The Generic Massless Cubic Gravities
• A universal feature of charged entanglement entropy
• Topological Born-Infeld charged black holes in Einsteinian cubic gravity
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Topological invariants and the definition of energy in quadratic gravity theory
• Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
• Holographic superconductivity in Einsteinian Cubic Gravity
• Gravitational Lensing by Black Holes in Einstein Quartic Gravity
• Holographic explorations of regular black holes in pure gravity
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• The extremal Kerr entropy in higher-derivative gravities
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• Slowly rotating black holes in Quasi-topological gravity
• On the quantum origin of inflation in the geometric inflation model
• Charged rotating black strings in Einsteinian cubic gravity
• Toward regular black holes in sixth-derivative gravity
• Small free field inflation in higher curvature gravity
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• A new representation of vacuum Lovelock solutions in $d=2N+1$ dimensions: Black holes with an integrable singularity and regular black holes
• De Sitter geometric inflation from dynamical singularities
• Higher order gravities and the Strong Equivalence Principle
• Quasi-topological Gravities on General Spherically Symmetric Metric
• Spherically Symmetric Solutions in Higher-Derivative Theories of Gravity
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Are there Einsteinian gravities involving covariant derivatives of the Riemann tensor?
• Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity
• Charged Black Holes in Einsteinian Quartic Gravity
• Dimensional aspects of Lovelock-Lanczos gravity
• Existence of Vacuum Wormholes in Einsteinian Cubic Gravity
• Gravitational Wormholes
• Braneworlds in Warped Einsteinian Cubic Gravity
• Higher-Curvature Gravity, Black Holes and Holography
• Cosmology with Higher-Derivative Gravities
• Energy Conditions in $f(P)$ Gravity
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• Black holes and other exact solutions in six-derivative gravity
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Signatures of cubic gravity in the strong regime
• Neutron stars more compact than black holes in quasi-topological gravity: Equilibrium configurations and radial stability
• Neutron stars more compact than black holes as a probe of strong-field gravity
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
• Aspects of three-dimensional higher-curvature gravities
• Quantum Einsteinian Cubic Cosmology