Multipolar Particles in Helically Symmetric Spacetimes
arXiv:2005.00602 · doi:10.1088/1361-6382/abebef
Abstract
We consider a binary system of spinning compact objects with internal structure, moving along an exactly circular orbit, and modelled within the multipolar gravitational skeleton formalism, up to quadrupolar order. We prove that the worldline of each multipolar particle is an integral curve of the helical Killing vector field, and that the 4-velocity, 4-momentum, spin tensor and quadrupole tensor of each particle are Lie-dragged along those worldlines. The geometrical framework developed in this paper paves the way to an extension of the first law of compact-object binary mechanics up to quadrupolar order.
arXiv comment37 pages, 2 figures
References in corpus (91)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- Laser Interferometer Space Antenna
- Physics, Astrophysics and Cosmology with Gravitational Waves
- Relativistic tidal properties of neutron stars
- Relativistic theory of tidal Love numbers
- The motion of point particles in curved spacetime
- KAGRA: 2.5 Generation Interferometric Gravitational Wave Detector
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Self-force and radiation reaction in general relativity
- Prospects for Fundamental Physics with LISA
- Post-Newtonian corrections to the motion of spinning bodies in NRGR
- Effective One Body description of tidal effects in inspiralling compact binaries
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
- Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
- Gravitational waves from inspiraling compact binaries: The quadrupole-moment term
- Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
- A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
- No-hair theorem for Black Holes in Astrophysical Environments
- Quadrupole moments of rotating neutron stars
- Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
- Black hole stereotyping: Induced gravito-static polarization
- Dissipative Effects in the Worldline Approach to Black Hole Dynamics
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
- Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order
- Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
- High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
- The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
- The complete non-spinning effective-one-body metric at linear order in the mass ratio
- Binary black holes in circular orbits. I. A global spacetime approach
- Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
- Revising the multipole moments of numerical spacetimes, and its consequences
- Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
- Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems
- Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole
- Tidal Love numbers of a slowly spinning neutron star
- Tidal deformation of a slowly rotating material body. External metric
- Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
- Analytic Solutions of the Teukolsky Equation and their Properties
- Thermodynamics of binary black holes and neutron stars
- Two approaches for the gravitational self force in black hole spacetime: Comparison of numerical results
- Leading order finite size effects with spins for inspiralling compact binaries
- Multipolar equations of motion for extended test bodies in General Relativity
- Post-Newtonian and Numerical Calculations of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
- Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
- Gravitational Self-force in a Radiation Gauge
- The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
- EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole
- Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
- Gravitational self-torque and spin precession in compact binaries
- Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
- Influence of internal structure on the motion of test bodies in extreme mass ratio situations
- Canonical Formulation of Spin in General Relativity
- Numerical Relativity of Compact Binaries in the 21st Century
- Mechanics of extended masses in general relativity
- Two-body gravitational spin-orbit interaction at linear order in the mass ratio
- The numerical relativity breakthrough for binary black holes
- Finding high-order analytic post-Newtonian parameters from a high-precision numerical self-force calculation
- Center of mass, spin supplementary conditions, and the momentum of spinning particles
- First Law of Mechanics for Compact Binaries on Eccentric Orbits
- First Law of Mechanics for Black Hole Binaries with Spins
- Motion of small objects in curved spacetimes: An introduction to gravitational self-force
- Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
- Confirming and improving post-Newtonian and effective-one-body results from self-force computations along eccentric orbits around a Schwarzschild black hole
- Analytical high-order post-Newtonian expansions for spinning extreme mass ratio binaries
- Bobbing and Kicks in Electromagnetism and Gravity
- Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
- Motion in classical field theories and the foundations of the self-force problem
- Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential
- Analytic determination of high-order post-Newtonian self-force contributions to gravitational spin precession
- Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
- Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
- A conservative effect of the second-order gravitational self-force on quasicircular orbits in Schwarzschild spacetime
- Experimental mathematics meets gravitational self-force
- Half-integral conservative post-Newtonian approximations in the redshift factor of black hole binaries
- Tidal deformation of a slowly rotating material body: Interior metric and Love numbers
- First Law of Compact Binary Mechanics with Gravitational-Wave Tails
- Numerical computation of the EOB potential q using self-force results
- Redshift factor and the first law of binary black hole mechanics in numerical simulations
- High-order half-integral conservative post-Newtonian coefficients in the redshift factor of black hole binaries
- Spin and quadrupole contributions to the motion of astrophysical binaries
- Conservative second-order gravitational self-force on circular orbits and the effective one-body formalism
- Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime
- Self-force correction to geodetic spin precession in Kerr spacetime
- Horizon Surface Gravity in Corotating Black Hole Binaries
- Self-forces on static bodies in arbitrary dimensions
- Detweiler's redshift invariant for spinning particles along circular orbits on a Schwarzschild background
- Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
- High-Accuracy Comparison between the Post-Newtonian and Self-Force Dynamics of Black-Hole Binaries