Nonlinear/non-iterative treatment of EFT-motivated gravity

Abstract

We study a higher derivative extension to General Relativity and present a fully nonlinear/non-perturbative treatment to construct initial data and study its dynamical behavior in spherical symmetry when coupled to a massless scalar field. For initial data, we compare the obtained solutions with those from alternative treatments that rely on a perturbative (or iterative) approach. For the future evolution of such data, we implement a recently introduced approach which addresses mathematical pathologies brought in by the higher derivatives. Our solutions demonstrate the presence of unexpected phenomena -when seen from the lense of General Relativity, as well as departures from General Relativity in the quasi-normal mode behavior of the scalar field scattering off the black hole.

18 pages, 19 Figures

References in corpus (35)

• Quasinormal modes of black holes and black branes
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Testing General Relativity with Present and Future Astrophysical Observations
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Isolated and dynamical horizons and their applications
• A geometric distance measurement to the Galactic Center black hole with 0.3% uncertainty
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Numerical Relativity Using a Generalized Harmonic Decomposition
• A New Generalized Harmonic Evolution System
• Neutron-star mergers in scalar-tensor theories of gravity
• Black holes and binary mergers in scalar Gauss-Bonnet gravity: scalar field dynamics
• Black holes in an Effective Field Theory extension of GR
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Experimental Tests of General Relativity
• Testing the no-hair theorem with black hole ringdowns using TIGER
• An effective formalism for testing extensions to General Relativity with gravitational waves
• Well-posed formulation of Lovelock and Horndeski theories
• On the local well-posedness of Lovelock and Horndeski theories
• Numerical binary black hole collisions in dynamical Chern-Simons gravity
• New, efficient, and accurate high order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
• Black Hole Dynamics in Einstein-Maxwell-Dilaton Theory
• Neutron star mergers as a probe of modifications of general relativity with finite-range scalar forces
• The Speed of Gravity
• Fixing extensions to General Relativity in the non-linear regime
• Ringing of rotating black holes in higher-derivative gravity
• Post-Kerr black hole spectroscopy
• Hyperbolicity in Spherical Gravitational Collapse in a Horndeski Theory
• Summation by parts and dissipation for domains with excised regions
• Higher-derivative operators and effective field theory for general scalar-tensor theories
• Towards the nonlinear regime in extensions to GR: assessing possible options
• Challenges to global solutions in Horndeski's theory
• Novel finite-differencing techniques for numerical relativity: application to black hole excision

Cited by in corpus (39)

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• Tests of General Relativity with GWTC-3
• Evolution of Einstein-scalar-Gauss-Bonnet gravity using a modified harmonic formulation
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• The Science of the Einstein Telescope
• Black Hole Gravitational Waves in the Effective Field Theory of Gravity
• Nonlinear studies of binary black hole mergers in Einstein-scalar-Gauss-Bonnet gravity
• An approach to computing spectral shifts for black holes beyond Kerr
• Systematic bias on parameterized tests of general relativity due to neglect of orbital eccentricity
• Well-posedness of the four-derivative scalar-tensor theory of gravity in singularity avoiding coordinates
• No evidence of kinetic screening in simulations of merging binary neutron stars beyond general relativity
• Kinetic screening in nonlinear stellar oscillations and gravitational collapse
• Modelling self-consistently beyond General Relativity
• Numerical relativity for Horndeski gravity
• Black Hole Binaries in Cubic Horndeski Theories
• Universal signatures of singularity-resolving physics in photon rings of black holes and horizonless objects
• Fixing the dynamical evolution in scalar-Gauss-Bonnet gravity
• UV completions, fixing the equations and nonlinearities in $k$-essence
• Gravitational Collapse in Cubic Horndeski Theories
• Eccentricity-induced systematic error on parametrized tests of general relativity: Hierarchical Bayesian inference applied to a binary black hole population
• Gravitational wave inference on a numerical-relativity simulation of a black hole merger beyond general relativity
• Nonlinear Evolution of Quadratic Gravity in 3+1 Dimensions
• Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
• Qubit Heating Near a Hotspot
• Numerical renormalization group-based approach to secular perturbation theory
• Fixing the dynamical evolution of self-interacting vector fields
• Scalarization of isolated black holes in scalar Gauss-Bonnet theory in the fixing-the-equations approach
• A Well-Posed UV Completion for Simulating Scalar Galileons
• Treatments and placebos for the pathologies of effective field theories
• Parametrized tests of general relativity using eccentric compact binaries
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Numerical Relativity as a New Tool for Fundamental Cosmology
• SCoRe: A New Framework to Study Unmodeled Physics from Gravitational Wave Data
• Accelerating Tests of General Relativity with Gravitational-Wave Signals using Hybrid Sampling
• Gravitational collapse in Quadratic Gravity
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
• On the construction of asymptotically flat initial data in scalar-tensor effective field theory
• The well-posedness of the Cauchy problem for self-interacting vector fields