Resolving the Space-Time Around Black Holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We discuss how high-resolution, time-resolved X-ray spectroscopy can be used to resolve the space-time metric around a black hole. Future instrumentation, such as X-ray calorimeters, will be able to significantly improve the constraints on key physical parameters such as the black-hole angular momentum. However, in order to probe sufficiently small spatial and temporal regions in the vicinity of the black hole, a high degree of accuracy in the calculation of the geodesics and transfer functions associated with the metric is required. We have found that, to achieve these goals, current schemes that implement these calculations for the Kerr metric must be improved due to unacceptable inaccuracies, especially in the strong gravity regime. The errors in the current models may have escaped attention because of the limited spectral resolution of available X-ray data, but would yield incorrect results when applied to higher resolution data. We present a numerical technique that overcomes this problem and results in a significantly more accurate treatment of photon propagation and relativistic line profiles, in preparation for the anticipated improvements in X-ray data.

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