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> Please keep clutter of the home page to a minimum and simply
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> link to out pages.
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# Review Statement
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# Introduction
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- Spinning compact objects get deformed due to their own spins leading to quadrupole and higher multipole moments. These moments get encoded in the post-Newtonian gravitational waveforms through the spin terms at different PN orders. In the state of art PN spinning waveform, Spin-induced quadrupole appears at 2PN and 3PN in LALSimulation. If the compact object is a BH, the multipole moments should be given by no-hair conjecture. Hence by accurately measuring this effect, we can test whether the high mass compact binaries we have detected so far are indeed BHs and hence constrain the allowed parameter space for BH mimickers. [Here is the Wiki page](https://www.lsc-group.phys.uwm.edu/ligovirgo/cbcnote/TestingGR/O2/SpinInducedQuadrupole/).
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