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I have searched for it, but everything what I found is that A0620-00 (the current closest black-hole to Earth) is a slow spinner with Kerr factor $a=0.12$.

How about the Kerr factor for Sagittarius A*?

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With current technologies the Kerr parameter could not be precisely estimated yet.

The best result today is a Kerr factor $a=0.52$.

  • Genzel, R., Schoedel, R., Ott, T., Eckart, A., Alexander, T., Lacombe, F., Rouan & Aschenbach, B., Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre (2003), astro-ph/0310821

History of BH's (in German)

Better estimates are expected within the next two decades, according to the article.

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