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Establishing a universal relation between gravitational waves and black hole lensing
Phys. Rev. D 89, 047502 – Published 20 February, 2014
DOI: https://doi.org/10.1103/PhysRevD.89.047502
Abstract
Black hole lensing and gravitational waves are, respectively, closely dependent on the property of the lens and radiation source. In this paper, a universal relation between them is established for a rotating, asymptotically flat black hole acting simultaneously as a lens and a gravitational wave source. The relation only relies on the lens geometry and observable; it does not depend on the specific nature of the black hole. Therefore, the possible gravitational wave sources could be located with modern astronomical instruments from the side of the lensing without knowing the specific nature of the black hole lens. Moreover, the low bound of the gravitational wave frequency can also be well determined for a gravitational wave source.
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