Earlier quoted context omitted.
It is a pity about the reporting. But it is a fascinating area of research. I never expected that we could measure gravitational waves in our life time.
I'm amazed - to the point of skepticism - that with such minute forces they can extrapolate so much information and prove theories. I mean I'm no astrophysicist, I like the "pop sci" bits, but when I look closer I'm seeing a lot of small numbers and statistics that imply something - e.g. exoplanets based on minute wobbles and brightness variations, water on said exoplanets based on spectrography. It's theories based…
However, Wobbles and Transit photometry are done over time and plot trends which definitively show that something with a certain mass is orbiting with a certain period around the star. There isn't really anything else it could be except an exoplanet, unless our understanding of how physics works was way off, which we know it isn't.
as for Spectrography brabel sums it up in their comment very well.