The role of the reflection fraction in constraining black hole spin

Abstract

In many active galaxies, the X-ray reflection features from the innermost regions of the accretion disc are relativistically distorted. This distortion allows us to measure parameters of the black hole such as its spin. The ratio in flux between the direct and the reflected radiation, the so-called reflection fraction, is determined directly from the geometry and location of primary source of radiation. We calculate the reflection fraction in the lamp post geometry in order to determine its maximal possible value for a given value of black hole spin. We show that high reflection fractions in excess of 2 are only possible for rapidly rotating black holes, suggesting that the high spin sources produce the strongest relativistic reflection features. Using simulations we show that taking this constraint into account does significantly improve the determination of the spin values. We make software routines for the most popular X-ray data analysis packages available that incorporate these additional constraints.

Letter, accepted for publication by MNRAS

References in corpus (11)

• An XMM-Newton survey of broad iron lines in Seyfert galaxies
• Constraining Black Hole Spin Via X-ray Spectroscopy
• Relativistic X-ray Lines from the Inner Accretion Disks Around Black Holes
• The Evolution of Black Hole Mass and Spin in Active Galactic Nuclei
• An absorption origin for the X-ray spectral variability of MCG-6-30-15
• A systematic look at the Very High and Low/Hard state of GX 339-4: Constraining the black hole spin with a new reflection model
• The broad band spectral variability of MCG-6-30-15 observed by NuSTAR and XMM-Newton
• Initial Measurements of Black Hole Spin in GX 339-4 from Suzaku Spectroscopy
• Simulating radiation and kinetic processes in relativistic plasmas
• The absorption-dominated model for the X-ray spectra of type I active galaxies: MCG-6-30-15
• Gravitational effects on the high energy emission of accreting black holes

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