Nonlocal-in-time effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order

Abstract

We complete the nonlocal-in-time effective-one-body (EOB) formalism of conservative dynamics for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. The nonlocal-in-time EOB Hamiltonian is obtained by mapping the order-reduced Hamiltonian corresponding to the nonlocal-in-time Lagrangian derived in [Phys. Rev. D 99, 044047 (2019)]. To transcribe the dynamics within EOB formalism, we use a strategy of order-reduction of nonlocal dynamics to local ordinary action-angle Hamiltonian. We then map this onto the EOB Hamiltonian to determine the nonlocal-in-time ST corrections to the EOB potentials $(A,B,Q_e)$ at 3PN order.

arXiv comment8 Pages

References in corpus (48)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• f(R) theories
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Tests of general relativity with GW150914
• Testing General Relativity with Present and Future Astrophysical Observations
• Effective one-body approach to general relativistic two-body dynamics
• Science Case for the Einstein Telescope
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Transition from inspiral to plunge in binary black hole coalescences
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• Tests of General Relativity with GW170817
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Testing gravity to second post-Newtonian order: a field-theory approach
• Towards a generic test of the strong field dynamics of general relativity using compact binary coalescence
• Gravitational Wave Tests of General Relativity with the Parameterized Post-Einsteinian Framework
• Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope
• Constraining the neutron star equation of state with gravitational wave signals from coalescing binary neutron stars
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from coalescing compact binaries
• Fourth post-Newtonian effective one-body dynamics
• Dynamical scalarization of neutron stars in scalar-tensor gravity theories
• Testing post-Newtonian theory with gravitational wave observations
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order
• Compact binary systems in scalar-tensor gravity. III. Scalar waves and energy flux
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Gravitational waveforms in scalar-tensor gravity at 2PN relative order
• Dynamics of compact binary systems in scalar-tensor theories: I. Equations of motion to the third post-Newtonian order
• Gravitational waves in scalar-tensor theory to one-and-a-half post-Newtonian order
• Dynamics of compact binary systems in scalar-tensor theories: II. Center-of-mass and conserved quantities to 3PN order
• Modeling dynamical scalarization with a resummed post-Newtonian expansion
• Dipolar tidal effects in scalar-tensor theories
• Two-body problem in Scalar-Tensor theories as a deformation of General Relativity : an Effective-One-Body approach
• Reducing the two-body problem in scalar-tensor theories to the motion of a test particle : a scalar-tensor effective-one-body approach
• Fast, faithful, frequency-domain effective-one-body waveforms for compact binary coalescences
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order
• Effective-action model for dynamical scalarization beyond the adiabatic approximation
• Tensor-Multi-Scalar Gravity: Equations of Motion to 2.5 post-Newtonian Order
• Relativistic effects in a mildly recycled pulsar binary: PSR J1952+2630

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