Measuring black hole spin through gravitational lensing of pulsars

Abstract

We propose a new procedure for measuring the spin of a black hole with an unprecedented accuracy based on the gravitational lensing of millisecond pulsars. We derive the basic equations for lensing by a rotating black hole. We show that the frame dragging effect increases the deflection angle of a light ray co-rotating with the black hole. For the primary (secondary) images the angular positions are larger (smaller) for a rotating black hole by an amount on the order of tens of microarcseconds. The differential time delay of images for the case in which the lens is a rotating black hole is smaller than that in the case of non-rotating lens of the same mass, and it can be larger than a few milliseconds. We show that this quantity offers the possibility of reducing the error of spin measurement to less than one percent if we could measure the differential time delay with accuracy of microseconds. We also study relativistic images that are produced by light rays that rotate around the black hole before reaching the observer. The angular positions of relativistic images on the same side as the primary (secondary) image are a few microarcseconds larger (smaller) if the black hole is rotating. Furthermore, the differential time delay between relativistic images is about twelve orders of magnitude larger in the case of rotating lens.

arXiv comment31 pages, 14 figures, matched the published version in CQG

References in corpus (52)

• Observational Evidence of AGN Feedback
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• Schwarzschild black hole lensing
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• Broad iron lines in Active Galactic Nuclei
• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• Fluorescent iron lines as a probe of astrophysical black hole systems
• Relativistic images of Schwarzschild black hole lensing
• Relativistic X-ray Lines from the Inner Accretion Disks Around Black Holes
• The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars
• The distribution and cosmic evolution of massive black hole spins
• An Improved Distance and Mass Estimate for Sgr A* from a Multistar Orbit Analysis
• Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
• Frame dragging and other precessional effects in black hole-pulsar binaries
• Prospects for Probing the Spacetime of Sgr A* with Pulsars
• Imaging the Schwarzschild-radius-scale Structure of M87 with the Event Horizon Telescope using Sparse Modeling
• Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
• Kerr black hole lensing for generic observers in the strong deflection limit
• Measurement of the spin of the M87 black hole from its observed twisted light
• Measuring the spin of black holes in binary systems using gravitational waves
• Strong deflection limit of black hole gravitational lensing with arbitrary source distances
• Braneworld black hole gravitational lens: Strong field limit analysis
• Kerr-Sen dilaton-axion black hole lensing in the strong deflection limit
• Thermal disc emission from a rotating black hole: X-ray polarization signatures
• Inferring the Inclination of a Black Hole Accretion Disk from Observations of its Polarized Continuum Radiation
• The second data release from the European Pulsar Timing Array II. Customised pulsar noise models for spatially correlated gravitational waves
• Analytical Kerr black hole lensing in the weak deflection limit
• Strong field limit analysis of gravitational lensing in Kerr-Taub-NUT spacetime
• Light's Bending Angle in the Equatorial Plane of a Kerr Black Hole
• Strong gravitational lensing by Kerr and Kerr-Newman black holes
• Constraining the Spin of the Black Hole in Fairall 9 with Suzaku
• Retro-MACHOs: Pi in the sky?
• PSR J2222--0137. I. Improved physical parameters for the system
• Magnification relations for Kerr lensing and testing Cosmic Censorship
• Gravitational Lensing by Black Holes in Einsteinian Cubic Gravity
• M87 black hole mass and spin estimate through the position of the jet boundary shape break
• Constraint on the black-hole spin of M87 from the accretion-jet model
• A high-density relativistic reflection origin for the soft and hard X-ray excess emission from Mrk 1044
• The Spin of M87*
• Black Hole Spin Signature in the Black Hole Shadow of M87 in the Flaring State
• EHT observables as a tool to estimate parameters of supermassive black holes
• The eccentric millisecond pulsar, PSR J0955$-$6150 I: Pulse profile analysis, mass measurements and constraints on binary evolution
• Fast Spinning Pulsars as Probes of Massive Black Holes' Gravity
• An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes
• Strong field effects on pulsar arrival times: general orientations
• Distinguishing a Slowly Accelerating Black Hole by Differential Time Delays of Images
• X-ray Polarimetry as a Tool to Measure the Black Hole Spin in Microquasars: Simulations of IXPE Capabilities
• Determining the spin of light primordial black holes with Hawking radiation
• PSR~J1910$-$5959A: A rare gravitational laboratory for testing white dwarf models
• Lensing Signatures of a Slowly-Accelerated Black Hole
• Accurate closed-form trajectories of light around a Kerr black hole using asymptotic approximants