GRS 1915+105 2026-11-05
GRS 1915+105 is an X-ray binary containing an accreting stellar-mass black hole. Gas supplied by its companion forms an accretion disk; changes in that gas produce strong, variable X-ray emission. Its radio-emitting jets make it an example of a microquasar.
The thermal disk spectrum has been used to estimate the black-hole spin by fitting a relativistic disk model. The inference depends on quantities including mass, distance, inclination and the disk's physical state. It therefore illustrates how a bright spectrum constrains a compact object through a model, rather than providing a direct measurement of the event horizon.[ref]
Jeffrey E. McClintock Created 2026-10-20 Updated 2026-11-05
Jeffrey E. McClintock studies black holes through the X-rays emitted by their accreting gas. In work on GRS 1915+105, his team fitted a relativistic accretion disk model to the thermal continuum and inferred a rapidly rotating Kerr black hole.
The inference depends on connecting the fitted inner emitting scale to the black hole's spin. The study selected relatively low-luminosity thermal-state data, where a thin accretion disk was an appropriate approximation, and included changes between local emission and the measured radiation spectrum. It reported a dimensionless spin exceeding 0.98 within that modeling framework.[ref]
The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105 by Jeffrey E. McClintock and others. Abstract: thermal-state selection, relativistic disk fit, luminosity restriction and spin bound
Past exam of the relativity course of the University of Cambridge 2013 Paper 1 2 b Solution 2026-10-20
accretion-disk tests of strong-field gravity put radiating matter in a strong gravitational field at relativistic orbital speeds. general relativity predicts an innermost stable circular orbit, for a nonrotating black hole, with a spin-dependent radius in the Kerr metric. If the radiating inner edge tracks that orbit, its fitted radius and binding-energy release probe the geometry. For a thin disk with negligible inner-edge torque, ; the Schwarzschild efficiency is .
In relativistic iron-line spectroscopy, a fluorescent iron line supplies a rest-energy reference. The relativistic Doppler effect from orbital motion, relativistic beaming, gravitational redshift and ray bending produce an asymmetric broadened profile, including a red wing from the deepest emitting radii. The ASCA observation of MCG-6-30-15 showed a broad asymmetric iron feature relative to the approximately neutral-iron energy, interpreted through relativistic disk-line models.[ref]
ASCA: MCG-6-30-15 by NASA HEASARC. Mission result description: broad iron line, low-energy asymmetry and relativistic interpretation
The observed line must be separated from the illuminating continuum, absorption and other reflection features; inclination, ionization and the radial illumination law affect the inferred radius.thermal-continuum fitting of an accretion disk provides an independent method for a geometrically thin, optically thick disk. Its spectrum and normalization constrain a characteristic inner area, provided mass, distance, inclination and atmospheric spectral hardening are controlled. A pre-2013 application selected thermal-state observations of GRS 1915+105 at relatively low disk luminosity to make the thin-disk approximation appropriate.[ref]
The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105 by Jeffrey E. McClintock and others. Abstract: relativistic continuum fit, thermal-state selection, luminosity cut and inner-edge assumptions
Consistency among inner radius, line transfer and thermal emission tests the strong-field disk picture. A black-hole spin estimate obtained by assuming a Kerr metric is not by itself a model-independent verification of general relativity. Stress across the nominal inner edge, finite disk thickness, coronal geometry, calibration and competing absorption models must be constrained; a gravity test compares alternative geometries while allowing for those astrophysical uncertainties. An emitting material surface or boundary layer can further complicate disks around neutron stars.