Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects
arXiv:2007.13799 · doi:10.1103/PhysRevD.103.104026
Abstract
Gravitational-wave memory effects are identified by their distinctive effects on families of freely falling observers: after a burst of waves pass by their locations, memory effects can cause lasting relative displacements of the observers. These effects are closely related to the infrared properties of gravity and other massless field theories, including their asymptotic symmetries and conserved quantities. In this paper, we investigate the connection between memory effects, symmetries, and conserved quantities in Brans-Dicke theory. We compute the field equations in Bondi coordinates, and we define a set of boundary conditions that represent asymptotically flat solutions in this context. Next, we derive the asymptotic symmetry group of these spacetimes, and we find that it is the same as the Bondi-Metzner-Sachs group in general relativity. Because there is an additional polarization of gravitational waves in Brans-Dicke theory, we compute the memory effects associated with this extra polarization (the so-called "breathing" mode). This breathing mode produces a uniform expansion (or contraction) of a ring of freely falling observers. After these breathing gravitational waves pass by the observers' locations, there are two additional memory effects that depend on their initial displacements and relative velocities. Neither of these additional memory effects seems to be related to asymptotic symmetries or conserved quantities; rather, they are determined by the properties of the nonradiative region before and after the bursts of the scalar field and the gravitational waves. We discuss the properties of these regions necessary to support nontrivial breathing-mode-type memory effects.
arXiv commentAppendix added, section 2B modified, minor modifications to the introduction, matches published version
References in corpus (60)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Modified Gravity and Cosmology
- The Confrontation between General Relativity and Experiment
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Tests of general relativity with GW150914
- Testing General Relativity with Present and Future Astrophysical Observations
- Binary Black Hole Mergers in the first Advanced LIGO Observing Run
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- Chern-Simons Modification of General Relativity
- Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- Aspects of the BMS/CFT correspondence
- Tests of General Relativity with GW170817
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Detecting Dark Energy in Orbit -- the Cosmological Chameleon
- BMS charge algebra
- Black holes in scalar-tensor gravity
- Asymptotic symmetries and subleading soft graviton theorem
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
- The conformal frame freedom in theories of gravitation
- New Gravitational Memories
- Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
- Model-Independent Test of General Relativity: An Extended post-Einsteinian Framework with Complete Polarization Content
- Conserved charges of the extended Bondi-Metzner-Sachs algebra
- Cosmological observations in scalar-tensor quintessence
- New symmetries for the Gravitational S-matrix
- Superboost transitions, refraction memory and super-Lorentz charge algebra
- Testing Scalar-Tensor Gravity with Gravitational-Wave Observations of Inspiralling Compact Binaries
- Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries
- The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits
- An electromagnetic analog of gravitational wave memory
- Bondi-Sachs Formalism
- Tracking Extended Quintessence
- A perturbative and gauge invariant treatment of gravitational wave memory
- Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
- Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order
- The Memory Effect for Plane Gravitational Waves
- Compact binary systems in scalar-tensor gravity. III. Scalar waves and energy flux
- Spin memory effect for compact binaries in the post-Newtonian approximation
- Thanks for the memory: measuring gravitational-wave memory in the first LIGO/Virgo gravitational-wave transient catalog
- Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
- Color Memory
- Forecasts for detecting the gravitational-wave memory effect with Advanced LIGO and Virgo
- The Asymptotic Behavior of Massless Fields and the Memory Effect
- Persistent gravitational wave observables: general framework
- Superrotations and Black Hole Pair Creation
- Scalar-Vector-Tensor Gravity Theories
- Characteristic Evolution and Matching
- Search for nonlinear memory from subsolar mass compact binary mergers
- The NANOGrav 11-Year Data Set: Limits on Gravitational Wave Memory
- Gravitational Wave Memory: A New Approach to Study Modified Gravity
- Gravitational memory effects and Bondi-Metzner-Sachs symmetries in scalar-tensor theories
- Testing Brans-Dicke Gravity with Screening by Scalar Gravitational Wave Memory
- The sky pattern of the linearized gravitational memory effect
- Observer dependence of angular momentum in general relativity and its relationship to the gravitational-wave memory effect
- Spectral Cauchy Characteristic Extraction of strain, news and gravitational radiation flux
- Persistent gravitational wave observables: Nonlinear plane wave spacetimes
- Gauge Invariant Spectral Cauchy Characteristic Extraction
- Prescriptions for measuring and transporting local angular momenta in general relativity
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- The First-Order Velocity Memory Effect from Compact Binary Coalescing Sources
- Numerical simulations of black hole-neutron star mergers in scalar-tensor gravity
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- A Bound on the Rate of Bondi Mass Loss
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- Gravitational-wave memory effects in the Damour-Esposito-Farèse extension of Brans-Dicke theory
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- Cosmological memory effect in scalar-tensor theories
- Gravitational wave pulse and memory effects for hairy Kiselev black hole and its analogy with Bondi-Sachs formalism
- Gravitational memory effects of black bounces and a traversable wormhole
- Gravitational wave memory in wormhole spacetimes
- Gravitational memory meets astrophysical environments: exploring a new frontier through osculations
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