Spinning compact binary dynamics and chameleon orbits

Abstract

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a closed system of first order differential equations in a compact form, for a set of dimensionless variables encompassing both orbital elements and spin angles. These evolutions are constrained by conservation laws holding at 2PN order. As required by the generic theory of constrained dynamical systems we perform a consistency check and prove that the constraints are preserved by the evolution. We apply the formalism to show the existence of chameleon orbits, whose local, orbital parameters evolve from elliptic (in the Newtonian sense) near pericenter, towards hyperbolic at large distances. This behavior is consistent with the picture that General Relativity predicts stronger gravity at short distances than Newtonian theory does.

to be published in Phys. Rev. D, 19 pages, 3 figure panels

References in corpus (48)

• Quasinormal modes of black holes and black branes
• Predictions for the Rates of Compact Binary Coalescences Observable by Ground-based Gravitational-wave Detectors
• Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
• The international pulsar timing array project: using pulsars as a gravitational wave detector
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• Phenomenological template family for black-hole coalescence waveforms
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Gravitational waves from resolvable massive black hole binary systems and observations with Pulsar Timing Arrays
• A Periodic Table for Black Hole Orbits
• Testing Properties of the Galactic Center Black Hole Using Stellar Orbits
• A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
• Black Hole Mergers and Unstable Circular Orbits
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Zoom-Whirl Orbits in Black Hole Binaries
• Comparisons of eccentric binary black hole simulations with post-Newtonian models
• Search for Gravitational Waves from Low Mass Compact Binary Coalescence in 186 Days of LIGO's fifth Science Run
• Massive Black Hole Binary Inspirals: Results from the LISA Parameter Estimation Taskforce
• Observing complete gravitational wave signals from dynamical capture binaries
• The spin-flip phenomenon in supermassive black hole binary mergers
• On the origin of X-shaped radio galaxies
• Eccentric black hole mergers and zoom-whirl behavior from elliptic inspirals to hyperbolic encounters
• Dynamics of Black Hole Pairs I: Periodic Tables
• Gravitational wave energy spectrum of hyperbolic encounters
• Gravitational waves from hyperbolic encounters
• The harmonic structure of generic Kerr orbits
• Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-Whirliness
• Spin effects in the phasing of gravitational waves from binaries on eccentric orbits
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling
• Gravitational waveforms for spinning compact binaries
• A Deep Chandra Observation of the X-shaped Radio Galaxy 4C +00.58: A Candidate for Merger-induced Reorientation?
• Evolution of the Carter constant for inspirals into a black hole: effect of the black hole quadrupole
• Computing waveforms for spinning compact binaries in quasi-eccentric orbits
• Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling
• Advanced localization of massive black hole coalescences with LISA
• Radiation from low-momentum zoom-whirl orbits
• Gravitational waves from binaries on unbound orbits
• Starbursts and black hole masses in X-shaped radio galaxies: Signatures of a merger event?
• Gravitational waves from stellar encounters
• Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations
• Supermassive black hole spin-flip during the inspiral
• Spinning compact binary inspiral II: Conservative angular dynamics

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• Spin and quadrupolar effects in the secular evolution of precessing compact binaries with black hole, neutron star, gravastar, or boson star components