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# Review Statement
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We have reviewed the implementation of a test of general relativity using deviations in the spin-induced quadrupole moment. The method was introduced in Phys. Rev. Lett. 119, 091101(2017), and there was a detailed follow-up in Phys. Rev. D 100, 104019 (2019).
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The review page is [here](https://git.ligo.org/nv.krishnendu/lalsuite/-/wikis/home).
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The inspiral part of lalsimulation waveforms are parameterized in terms of spin-induced quadrupole moments (\kappa_1, \kappa_2) through the post-Newtonian approximation. These spin-induced quadrupole moments characterize the nature of compact objects in the binary. In GR, black holes have \kappa_1 = \kappa_2 =1, however, a black-hole mimicker (e.g., wormholes, garavastar, etc) can have values other than 1.
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This test proposes a null test of BBH nature of a CBC by introducing deviations from the black hole value as, \kappa_1= 1+\delta \kappa_1 and \kappa_2=1+\delta\kappa_2. Using LALInference the pipeline produces posterior distributions on \delta \kappa_1, \delta \kappa_2 and their symmetric combinations \delta \kappa_s and \delta \kappa_a. In GR, for black holes \delta \kappa_1=0 and \delta \kappa_2=0. Hence, if GR is correct, we expect the posteriors on the deviations to be consistent with zero.
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