Pulsar timing in extreme mass ratio binaries: a general relativistic approach
arXiv:1903.08258 · doi:10.1093/mnras/stz845
Abstract
The detection of a pulsar (PSR) in a tight, relativistic orbit around a supermassive or intermediate mass black hole - such as those in the Galactic centre or in the centre of Globular clusters - would allow for precision tests of general relativity (GR) in the strong-field, non-linear regime. We present a framework for calculating the theoretical time-frequency signal from a PSR in such an Extreme Mass Ratio Binary (EMRB). This framework is entirely relativistic with no weak-field approximations and so able to account for all higher-order strong-field gravitational effects, relativistic spin dynamics, the convolution with astrophysical effects and the combined impact on the PSR timing signal. Specifically we calculate both the spacetime path of the pulsar radio signal and the complex orbital and spin dynamics of a spinning pulsar around a Kerr black hole, accounting for spacetime curvature and frame dragging, relativistic and gravitational time delay, gravitational light bending, temporal and spatial dispersion induced by the presence of plasma along the line of sight and relativistic aberration. This then allows for a consistent time-frequency solution to be generated. Such a framework is key for assessing the use of PSR as probes of strong field GR, helping to inform the detection of an EMRB system hosting a PSR and, most essentially, for providing an accurate theoretical basis to then compare with observations to test fundamental physics.
arXiv comment19 pages, 15 Figures. Accepted for publication in MNRAS
References in corpus (85)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
- The Confrontation between General Relativity and Experiment
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- Monitoring stellar orbits around the Massive Black Hole in the Galactic Center
- TEMPO2, a new pulsar timing package. I: Overview
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- Binary and Millisecond Pulsars
- First Light for GRAVITY: Phase Referencing Optical Interferometry for the Very Large Telescope Interferometer
- High-precision timing of 42 millisecond pulsars with the European Pulsar Timing Array
- Probes and Tests of Strong-Field Gravity with Observations in the Electromagnetic Spectrum
- Ultraluminous X-ray Sources in the Chandra and XMM-Newton Era
- A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime
- Timing stability of millisecond pulsars and prospects for gravitational-wave detection
- Frame dragging and other precessional effects in black hole-pulsar binaries
- Black Hole Based Tests of General Relativity
- A public code for general relativistic, polarised radiative transfer around spinning black holes
- Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow
- Strong-Field Tests of Gravity Using Pulsars and Black Holes
- Prospects for Probing the Spacetime of Sgr A* with Pulsars
- A Quantitative Test of the No-Hair Theorem with Sgr A* using stars, pulsars, and the Event Horizon Telescope
- Magnetically Driven Accretion Flows in the Kerr Metric IV: Dynamical Properties of the Inner Disk
- Prospects for High-Precision Pulsar Timing with the New Effelsberg PSRIX Backend
- On the unreasonable effectiveness of the post-Newtonian approximation in gravitational physics
- Measuring Black Hole Spin by the Continuum-Fitting Method: Effect of Deviations from the Novikov-Thorne Disc Model
- Stellar Dynamics of Extreme-Mass-Ratio Inspirals
- General relativistic radiative transfer: formulation and emission from structured tori around black holes
- Multiwavelength Constraints on Pulsar Populations in the Galactic Center
- Frequency-Dependent Dispersion Measures and Implications for Pulsar Timing
- Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
- Prospects for observing extreme-mass-ratio inspirals with LISA
- LISA extreme-mass-ratio inspiral events as probes of the black hole mass function
- Testing the no-hair theorem with the continuum-fitting and the iron line methods: a short review
- A High-Frequency Search for Pulsars Within the Central Parsec of SgrA*
- Stable Phases of Boson Stars
- Evidence for an intermediate-mass black hole in the globular cluster NGC 6624
- Dynamics of Extended Spinning Masses in a Gravitational Field
- Pulsar science with the Five hundred metre Aperture Spherical Telescope
- Radiation Transfer of Emission Lines in Curved Space-Time
- Relativistic Motion of Spinning Particles in a Gravitational Field
- Pulsar-black hole binaries: prospects for new gravity tests with future radio telescopes
- Center of mass, spin supplementary conditions, and the momentum of spinning particles
- Prospects for accurate distance measurements of pulsars with the SKA: enabling fundamental physics
- Prospects for High-Precision Pulsar Timing
- Measuring spin of a supermassive black hole at the Galactic centre -- Implications for a unique spin
- Pulsars as probes of gravity and fundamental physics
- Lensing By Sgr A* as a Probe of Modified Gravity
- Odyssey: A Public GPU-Based Code for General-Relativistic Radiative Transfer in Kerr Spacetime
- Pulsar-Black Hole Binaries in the Galactic Center
- General relativistic polarized radiative transfer: building a dynamics-observations interface
- Detecting pulsars in the Galactic centre
- Radiation from rapidly rotating oblate neutron stars
- Microarcsecond Astrometry using the SKA
- General relativistic spin-orbit and spin-spin effects on the motion of rotating particles in an external gravitational field
- Observing gravitational lensing effects by Sgr A* with GRAVITY
- Covariant hamiltonian spin dynamics in curved space-time
- Spin and mass of the nearest supermassive black hole
- Extreme-mass-ratio-bursts from extragalactic sources
- Generalized Kerr spacetime with an arbitrary mass quadrupole moment: geometric properties vs particle motion
- Probing the spinning of the massive black hole in the Galactic Center via pulsar timing: A Full Relativistic Treatment
- Spatial dispersion of light rays propagating through a plasma in Kerr spacetime
- Gravitational lensing of stars orbiting the Massive Black Hole in the Galactic Center
- Clocks around Sgr A*
- Line emission from optically thick relativistic accretion tori
- The Influence of Gas Dynamics on Measuring the Properties of the Black Hole in the Center of the Milky Way with Stellar Orbits and Pulsars
- The Dynamics of a Classical Spinning Particle in Vaidya Space-Time
- Dark matter concentrations in galactic nuclei according to polytropic models
- Fast Spinning Pulsars as Probes of Massive Black Holes' Gravity
- Searching for Pulsars in Close Binary Systems
- High precision pulsar timing and spin frequency second derivatives
- Strong field effects on pulsar arrival times: general orientations
- Effects of Pulsar Rotation on Timing Measurements of the Double Pulsar System J0737-3039
- Circular and non-circular nearly horizon-skimming orbits in Kerr spacetimes
- The Pulsar Population in Globular Clusters and in the Galaxy
- Antigravity: Spin-gravity coupling in action
- Strong field effects on pulsar arrival times: circular orbits and equatorial beams
- Data Challenges for Next-generation Radio Telescopes
- Carter's constant revealed
- Perspectives on constraining a cosmological constant-type parameter with pulsar timing in the Galactic Center
- Complex orbital dynamics of a double neutron star system revolving around a massive black hole
- Shining Light on Quantum Gravity with Pulsar-Black Hole Binaries
- Detection of pulsar beams deflected by the black hole in Sgr A*: effects of black hole spin
- Observability of pulsar beam bending by the Sgr~A* black hole
- Intermediate-Mass Black Holes in Globular Cluster Systems
- Extreme-mass-ratio bursts from the Galactic Centre
Cited by in corpus (17)
- Calculating black hole shadows: Review of analytical studies
- Deflection of light rays by spherically symmetric black hole in dispersive medium
- Hills and holes in the microlensing light curve due to plasma environment around gravitational lens
- Strong deflection limit analysis of black hole lensing in inhomogeneous plasma
- Radio Scattering Horizons for Galactic and Extragalactic Transients
- Testing space-time geometries and theories of gravity at the Galactic Center with pulsar's time delay
- Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole
- Testing gravity with Extreme-Mass-Ratio Inspirals
- Time delay induced by plasma in strong lens systems
- Relativistic propagation and frame dragging time delay in the timing of a pulsar orbiting the supermassive black hole SgrA*
- Relativistic scattering of a fast spinning neutron star by a massive black hole
- Radio timing in a millisecond pulsar-extreme/intermediate mass ratio binary system
- Gravitational Burst Radiation from Pulsars in the Galactic centre and stellar clusters
- Astrophysics with the Laser Interferometer Space Antenna
- Deflection of light rays in a moving medium around a spherically symmetric gravitating object
- RelativisticDynamics.jl: Relativistic Spin-Orbital Dynamics in Julia
- Light deflection in axially symmetric stationary spacetimes filled with a moving medium