On black holes in higher-derivative gravities

Abstract

We establish various general results concerning static and spherically symmetric black hole solutions of general higher-derivative extensions of Einstein gravity. We prove that the only theories susceptible of admitting solutions with $g_{tt}{g}_{rr}=-1$ and representing the exterior field of a spherically symmetric distribution of mass are those that only propagate a massless and traceless graviton on the vacuum. Then, we provide a simple (and computationally powerful) sufficient condition for a theory to admit solutions of that kind, as well as a systematic way for constructing them for a given theory. We conjecture (and provide strong evidence) that all black holes constructed according to our criteria are completely determined by their mass (non-hairy), and such that their thermodynamic properties can be obtained by solving a system of algebraic equations without free parameters. Our results can be straightforwardly extended to planar and hyperbolic horizons. We illustrate this by obtaining new planar asymptotically $Ad{S}_5$ black hole solutions of the recently constructed Generalized quasitopological gravity [arXiv:1703.01631], which belongs to the class of theories selected by our results.

21 pages; v2: references added

References in corpus (19)

• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Black Holes in Higher-Derivative Gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Einsteinian cubic gravity
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Universality of corner entanglement in conformal field theories
• Black Holes in Pure Lovelock Gravities
• Four-dimensional black holes in Einsteinian cubic gravity
• When is g_{tt} g_{rr} = -1?
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Generalized quasi-topological gravity
• Aspects of general higher-order gravities
• Entanglement entropy across a deformed sphere
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• Quintic quasi-topological gravity
• On the cancellation of Newtonian singularities in higher-derivative gravity
• Energy and Angular Momentum in Generic F(Riemann) Theories

Cited by in corpus (61)

• 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
• Holographic studies of Einsteinian cubic gravity
• All higher-curvature gravities as Generalized quasi-topological gravities
• Geometric Inflation
• Regular black holes in three dimensions
• Generalized quasi-topological gravities: the whole shebang
• Slowly rotating black holes in Einsteinian cubic gravity
• NUTs and bolts beyond Lovelock
• Electromagnetic Quasitopological Gravities
• On the strong coupling of Einsteinian Cubic Gravity and its generalisations
• On the classification of Generalized Quasitopological Gravities
• Black hole chemistry and holography in generalized quasi-topological gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Criticality for charged black branes
• Generalized Pure Lovelock Gravity
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Aspects of Geometric Inflation
• Quasi-Topological Ricci Polynomial Gravities
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• Novel higher-curvature variations of $R^2$ inflation
• Modified "complexity equals action" conjecture
• Precessing and periodic timelike orbits and their potential applications in Einsteinian cubic gravity
• Partition functions on slightly squashed spheres and flux parameters
• Higher-derivative holography with a chemical potential
• Gödel-type solutions within the f(R,Q) gravity
• Holographic Studies of The Generic Massless Cubic Gravities
• Is gravitational collapse possible in $f(R)$ gravity?
• Topological Born-Infeld charged black holes in Einsteinian cubic gravity
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Dynamical aspects for scalar fields coupled to cubic contractions of the Riemann tensor
• Uniqueness of non-trivial spherically symmetric black hole solution in special classes of F(R) gravitational theory
• Excluding static and spherically symmetric black holes in Einsteinian cubic gravity with unsuppressed higher-order curvature terms
• On the viability of the evolution of the universe with Geometric Inflation
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Topological invariants and the definition of energy in quadratic gravity theory
• On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
• Dark effects in $f(R,P)$ gravity
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• The extremal Kerr entropy in higher-derivative gravities
• Universal Black Holes
• Inflationary predictions of Geometric Inflation
• Holographic explorations of regular black holes in pure gravity
• A unified geometric description of the Universe: from inflation to late-time acceleration without an inflaton nor a cosmological constant
• Slowly rotating black holes in Quasi-topological gravity
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• Charged rotating black strings in Einsteinian cubic gravity
• Toward regular black holes in sixth-derivative gravity
• Higher order gravities and the Strong Equivalence Principle
• On regular charged black holes in three dimensions
• Spherically Symmetric Solutions in Higher-Derivative Theories of Gravity
• Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity
• Gravitational Wormholes
• Second-order corrections to Starobinsky inflation
• Thermodynamics of black hole in $D$-dimensional $f(R)$ theory
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• Aspects of three-dimensional higher-curvature gravities
• The trace of field equations for higher-derivative gravity and an equality associating the Lagrangian density with a divergence term
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity