Note on a new parametrization for testing the Kerr metric

Abstract

We propose a new parametrization for testing the Kerr nature of astrophysical black hole candidates. The common approaches focus on the attempt to constrain possible deviations from the Kerr solution described by new terms in the metric. Here we adopt a different perspective. The mass and the spin of a black hole make the spacetime curved and we want to check whether they do it with the strength predicted by general relativity. As an example, we apply our parametrization to the black hole shadow, an observation that may be possible in a not too distant future.

8 pages, 3 figures

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• Testing black hole candidates with electromagnetic radiation
• Shadow cast and Deflection angle of Kerr-Newman-Kasuya spacetime
• Astrophysical imaging of Kerr black holes with scalar hair
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• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• Testing the Kerr metric with the iron line and the KRZ parametrization
• Rotating black holes without ${\mathbb{Z}}_2$ symmetry and their shadow images
• Testing Einstein-dilaton-Gauss-Bonnet gravity from the reflection spectrum of accreting black holes
• Iron K$\alpha$ line of boson stars
• Superradiance in Kerr-like black holes
• Separability of the Klein-Gordon equation for rotating spacetimes obtained from Newman-Janis algorithm
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• X-Ray Tests of General Relativity with Black Holes
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• Sgr A* Shadow Study with KTN Space Time and Investigation of NUT Charge Existence
• Investigating the existence of gravitomagnetic monopole in M87*
• Iron line reverberation mapping in Ghasemi-Nodehi-Bambi background
• Improved Constraints on Non-Kerr Deviations from Binary Black Hole Inspirals Using GWTC-4 Data
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• Constraining the Konoplya-Rezzolla-Zhidenko deformation parameters III: limits from stellar-mass black holes using gravitational-wave observations