The shape of Scalar Gauss-Bonnet Gravity
arXiv:2106.08344 · doi:10.1007/JHEP03(2022)075
Abstract
We study the consistency of Scalar Gauss-Bonnet Gravity, a generalization of General Relativity where black holes can develop non-trivial hair by the action of a coupling between a function of a scalar field and the Gauss-Bonnet invariant of the space-time. When properly normalized, interactions induced by this term are weighted by a cut-off, and take the form of an Effective Field Theory expansion. By invoking the existence of a Lorentz invariant, causal, local, and unitary UV completion of the theory, we derive positivity bounds for -to- scattering amplitudes including exchange of dynamical gravitons. These constrain the value of all even derivatives of the function , and are highly restrictive. They require some of the scales of the theory to be of Planckian order, and rule out most of the models used in the literature for black hole scalarization.
arXiv comment34 pages, 3 figures. A comment on the effect of adding a mass and a self-coupling for the scalar field has been added. Matches journal version
References in corpus (68)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Modified Gravity and Cosmology
- The Confrontation between General Relativity and Experiment
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- Tests of general relativity with GW150914
- General relativity as an effective field theory: The leading quantum corrections
- Causality, Analyticity and an IR Obstruction to UV Completion
- Dark Energy after GW170817: dead ends and the road ahead
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Dark Energy after GW170817 and GRB170817A
- Black holes, gravitational waves and fundamental physics: a roadmap
- Healthy theories beyond Horndeski
- Dilatonic Black Holes in Higher Curvature String Gravity
- Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
- Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
- Package-X: A Mathematica package for the analytic calculation of one-loop integrals
- New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
- Black hole hair in generalized scalar-tensor gravity
- Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- Black hole hair in generalized scalar-tensor gravity: An explicit example
- Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
- Spectroscopy of Kerr black holes with Earth- and space-based interferometers
- Neutron-star mergers in scalar-tensor theories of gravity
- xTras: a field-theory inspired xAct package for Mathematica
- Spin-induced scalarized black holes
- Black-Hole Solutions with Scalar Hair in Einstein-Scalar-Gauss-Bonnet Theories
- Energy's and amplitudes' positivity
- xPert: Computer algebra for metric perturbation theory
- Spin-induced black hole spontaneous scalarization
- Positive Moments for Scattering Amplitudes
- Spin-induced black hole scalarization in Einstein-scalar-Gauss-Bonnet theory
- Theory-Agnostic Constraints on Black-Hole Dipole Radiation with Multi-Band Gravitational-Wave Astrophysics
- Positivity Bounds for Scalar Theories
- Coalescence of binary neutron stars in a scalar-tensor theory of gravity
- Dynamical scalarization of neutron stars in scalar-tensor gravity theories
- Weak Gravity Conjecture from Unitarity and Causality
- On the stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
- Radial perturbations of the scalarized EGB black holes
- Beyond Amplitudes' Positivity and the Fate of Massive Gravity
- Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
- Black Holes and Scalar Fields
- Self-interactions and Spontaneous Black Hole Scalarization
- Gravitational Wave Decay into Dark Energy
- Dynamics of spontaneous black hole scalarization and mergers in Einstein-scalar-Gauss-Bonnet gravity
- On renormalization group flows and the a-theorem in 6d
- Massive Galileon Positivity Bounds
- Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity
- Improved Positivity Bounds and Massive Gravity
- Positivity Bounds and the Massless Spin-2 Pole
- Dark-Energy Instabilities induced by Gravitational Waves
- QED positivity bounds
- Gravitational positivity bounds
- EHT tests of the strong-field regime of General Relativity
- Positivity in the sky
- Partial accretion in the propeller stage of low mass X-ray binary Aql X--1
- Positivity Bounds on Dark Energy: When Matter Matters
- Massless Positivity in Graviton Exchange
- Modeling dynamical scalarization with a resummed post-Newtonian expansion
- Tests of general relativity with stellar-mass black hole binaries observed by LISA
- Is the Standard Model in the Swampland? Consistency Requirements from Gravitational Scattering
- Higher-Point Positivity
- K-dynamics: well-posed 1+1 evolutions in K-essence
- Scalar Fields Near Compact Objects: Resummation versus UV Completion
- Degenerate Higher-Order Scalar-Tensor (DHOST) theories
- Black holes in General Relativity and beyond
Cited by in corpus (12)
- Constraints on Einstein-dilaton-Gauss-Bonnet gravity from Black Hole-Neutron Star Gravitational Wave Events
- Fixing the dynamical evolution in scalar-Gauss-Bonnet gravity
- UV graviton scattering and positivity bounds from IR dispersion relations
- Constraining spontaneous black hole scalarization in scalar-tensor-Gauss-Bonnet theories with current gravitational-wave data
- Scalar Fields Near Compact Objects: Resummation versus UV Completion
- Positivity Bounds on parity-violating scalar-tensor EFTs
- Instability of scalarized compact objects in Einstein-scalar-Gauss-Bonnet theories
- Scalarization of isolated black holes in scalar Gauss-Bonnet theory in the fixing-the-equations approach
- Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
- Constraints on Einstein-dilaton Gauss-Bonnet gravity with Taiji
- Mapping the Weak-Field Limit of Scalar-Gauss-Bonnet Gravity
- Radial perturbations of scalar-Gauss-Bonnet black holes beyond spontaneous scalarization