Gravitational-wave memory effects in the Damour-Esposito-Farèse extension of Brans-Dicke theory

Abstract

Gravitational-wave memory effects are lasting changes in the strain and its time integrals. They can be computed in asymptotically flat spacetimes using the conservation and evolution equations in the Bondi-Sachs framework. Modified theories of gravity have additional degrees of freedom with their own asymptotic evolution equations; these additional fields can produce differences in the memory effects in these theories from those in general relativity. In this work, we study a scalar-tensor theory of gravity known as the Damour-Esposito-Farèse extension of Brans-Dicke theory. We use the Bondi-Sachs framework to compute the field equations in Bondi-Sachs form, the asymptotically flat solutions, and the leading gravitational-wave memory effects. Although Damour-Esposito-Farèse theory has additional nonlinearities not present in Brans-Dicke theory, these nonlinearities are subleading effects; thus, the two theories share many similarities in the leading (and some subleading) solutions to hypersurface equations, asymptotic symmetries, and types of memory effects. The conservation equations for the mass and angular momentum aspects differ between the two theories, primarily because of the differences in the evolution equation for the scalar field. This leads to differences in the time dependence of the gravitational-wave memory signals that are produced during the quasicircular inspiral of compact binaries. These differences, however, are of second-order in a small coupling parameter of these theories, which suggests that it would be challenging to use memory effects to distinguish between these two theories. Nevertheless, our results can be used to analyze and interpret memory effects from numerical-relativity simulations of binaries in this theory.

v2: 22 pages, section I and III modified, detection prospect discussed in section III D, matches published version; supplementary material available at https://github.com/stshammi/DEF-Jordan-BondiSachs-Public

References in corpus (54)

• The Confrontation between General Relativity and Experiment
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• A gravitational-wave standard siren measurement of the Hubble constant
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Asymptotic symmetries and subleading soft graviton theorem
• Concepts and status of Chinese space gravitational wave detection projects
• Neutron-star mergers in scalar-tensor theories of gravity
• New symmetries for the Gravitational S-matrix
• xPerm: fast index canonicalization for tensor computer algebra
• Nonlinear gravitational-wave memory from binary black hole mergers
• Testing the black-hole area law with GW150914
• Ringdown overtones, black hole spectroscopy, and no-hair theorem tests
• Compact binary systems in scalar-tensor gravity. III. Scalar waves and energy flux
• Searching for gravitational wave memory bursts with the Parkes Pulsar Timing Array
• Thanks for the memory: measuring gravitational-wave memory in the first LIGO/Virgo gravitational-wave transient catalog
• Black-hole spectroscopy, the no-hair theorem and GW150914: Kerr vs. Occam
• Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order
• Adding Gravitational Memory to Waveform Catalogs using BMS Balance Laws
• Gravitational waves in scalar-tensor theory to one-and-a-half post-Newtonian order
• Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
• The Asymptotic Behavior of Massless Fields and the Memory Effect
• Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
• Outlook for detecting the gravitational wave displacement and spin memory effects with current and future gravitational wave detectors
• Scientific Potential of DECIGO Pathfinder and Testing GR with Space-Borne Gravitational Wave Interferometers
• Dynamics of compact binary systems in scalar-tensor theories: II. Center-of-mass and conserved quantities to 3PN order
• The Memory Remains (Undetected): Updates from the Second LIGO/Virgo Gravitational-Wave Transient Catalog
• Search for nonlinear memory from subsolar mass compact binary mergers
• Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes
• Gravitational breathing memory and dual symmetries
• A Review of Gravitational Memory and BMS Frame Fixing in Numerical Relativity
• Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study
• Gravitational wave memory beyond general relativity
• Inferring fundamental spacetime symmetries with gravitational-wave memory: from LISA to the Einstein Telescope
• Gravitational-wave tails of memory
• Inferring the gravitational wave memory for binary coalescence events
• Leveraging gravitational-wave memory to distinguish neutron star--black hole binaries from black hole binaries
• Gravitational memory effects in Chern-Simons modified gravity
• Metric reconstruction from celestial multipoles
• Black hole hairs in scalar-tensor gravity and the lack thereof
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• "Conserved charges" of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory
• Numerical simulations of black hole-neutron star mergers in scalar-tensor gravity
• Conserved charges in Chern-Simons modified theory and memory effects
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Quasi-Keplerian parametrization for eccentric compact binaries in scalar-tensor theories at second post-Newtonian order and applications
• Gravitational-wave constraints on scalar-tensor gravity from a neutron star and black-hole binary GW200115
• Gravitational memory: new results from post-Newtonian and self-force theory
• Higher memory effects and the post-Newtonian calculation of their gravitational-wave signals
• Persistent gravitational wave observables: Nonlinearities in (non-)geodesic deviation
• Higher Memory Effects in Numerical Simulations of Binary Black Hole Mergers
• Angular momentum sensitivities in scalar-tensor theories
• Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail
• Waveform models for the gravitational-wave memory effect: Extreme mass-ratio limit and final memory offset