Testing black hole no-hair theorem with OJ287
M. J.Valtonen, S. Mikkola, H. J.Lehto, A. Gopakumar, R. Hudec, J., Polednikova

TL;DR
This paper assesses the potential to test the black hole no-hair theorem using observations of the binary black hole system OJ287, demonstrating current constraints and proposing future observational strategies to improve the test's accuracy.
Contribution
It provides the first constraints on the quadrupole moment of the primary black hole in OJ287 and discusses how upcoming observations can enhance the test of the no-hair theorem.
Findings
Current data constrains q to 1 ± 0.3, consistent with General Relativity.
Historical data from 1959 and 1971 outbursts can improve constraints.
Future outbursts in 2015 and 2019 are crucial for refining the test.
Abstract
We examine the ability to test the black hole no-hair theorem at the 10% level in this decade using the binary black hole in OJ287. In the test we constrain the value of the dimensionless parameter q that relates the scaled quadrupole moment and spin of the primary black hole: q2 = -q 2 . At the present we can say that q = 1 \pm 0.3 (one), in agreement with General Relativity and the no-hair theorems. We demonstrate that this result can be improved if more observational data is found in historical plate archives for the 1959 and 1971 outbursts. We also show that the predicted 2015 and 2019 outbursts will be crucial in improving the accuracy of the test. Space-based photometry is required in 2019 July due the proximity of OJ287 to the Sun at the time of the outburst. The best situation would be to carry out the photometry far from the Earth, from quite a different vantage point, in order…
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