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Black hole X-ray spectra: notes on the relativistic calculations

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arxiv 2408.12262 v1 pith:5NQZT7JR submitted 2024-08-22 astro-ph.HE gr-qc

classification astro-ph.HEgr-qc
keywords blackcalculationscomponentnotesdiskholerelativisticspectra
verification ladder T0 review T1 audit T2 compute T3 formal

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This is a collection of notes to calculate electromagnetic spectra of geometrically thin and optically thick accretion disks around black holes. The presentation is intentionally pedagogical and most calculations are reported step by step. In the disk-corona model, the spectrum of a source has three components: a thermal component from the disk, a Comptonized component from the corona, and a reflection component from the disk. These notes review only the relativistic calculations. The formulas presented here are valid for stationary, axisymmetric, asymptotically-flat, circular spacetimes, so they can be potentially used for a large class of black hole solutions.

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Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    X-ray reflection data for EXO 1846–031 cannot distinguish the non-circular deformation parameter ℓ_NP from zero, remaining consistent with the Kerr hypothesis.

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    Re-analysis of Cyg X-1 NuSTAR/Suzaku spectra shows that the assumed coronal geometry shifts inferred spin (a* ≈ 0.73–0.99) and inclination (≈27°–70°), with a disk-like corona yielding i ≈ 30° and density ≈ 1e20 cm^-3.

  4. Probing the Strong Gravity Region of Black Holes with eXTP

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    eXTP's large collecting area and combined spectral, timing, and polarimetric instruments are simulated to improve black hole spin and mass measurements and to tighten tests of the Kerr metric.

  5. X-ray reflection spectroscopy with improved calculations of the emission angle

    astro-ph.HE 2025-06 conditional novelty 6.0 of 10

    A new reflection model, relxillA, bins the disk by emission angle rather than by radius, matches ray-tracing spectra far better than existing models, and fixes a coding bug in relxill v2.4.

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  7. Physics and Astrophysics of Black Holes with eXTP

    astro-ph.HE 2026-07 accept novelty 2.0 of 10

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  8. Testing General Relativity with Black Holes

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    A status review of X-ray tests of the Kerr black hole hypothesis, concluding that current data are consistent with General Relativity, plus a speculative interstellar probe proposal.

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