"It’s becoming clear that in a sense the cosmos provides the only laboratory where sufficiently extreme conditions are ever achieved to test new ideas on particle physics. The energies in the Big Bang were far higher than we can ever achieve on Earth. So by looking at evidence for the Big Bang, and by studying things like neutron stars, we are in effect learning something about fundamental physics." -Martin Rees
Two years ago, advanced LIGO turned on, and in that brief time, it’s already revealed a number of gravitational wave events. All of them, to no one’s surprise, have been merging black holes, since those are the easiest class of events for LIGO to detect. But beyond black holes, LIGO should also be sensitive to merging neutron stars. Even though the range over which LIGO can see them is much smaller, if there are enough neutron star-neutron star mergers happening, we might have a chance.
A little over a week ago, a rumor broke that LIGO may have seen one, which would be a phenomenal occurrence. Not only would we have a new type of event that we detected in gravitational waves, we would, for the first time, have the capability of correlating the gravitational and electromagnetic skies. Astronomy, for the first time ever, could view the very same object in gravitational waves and through telescopes.
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There might be some astronomical observation of gravitational waves produced by neutron stars; although, I think, this time it is quite improbable, looking at the sheer fortuitousness of the so-called detection makes it untenable -- the VIRGO run was too short (just 25 days), LIGO never found any orbiting neutron stars' gravitational waves in the last 3 years, while there are too many neutron stars nearby to have slipped LIGO's notice. Let me add, 6 years earlier, minuscule gravitational waves of a wide frequency range (nearly zero to around 3 KHz) were first produced and detected in my lab late in 2010 and were reported in a US patent application which now is a US patent 8521029. You can find the patent detail on the USPTO site as well as on https://www.google.com/patents/US8521029 . You can check out gravitational waves and my work on Wikipedia. Let me also add, even if I am letting out a little secret, it is impossible to register any black hole mergers, because of the sheer volume of mergers -- I cannot talk more on this subject. So, let me tell you, LIGO actually never detected any black hole mergers in the past too. The least I can say is that the reported mergers were a result of the intense imagination of the LIGO folks, to say the least.
@Ethan: Your concluding paragraph seems slightly misleading to me :-) You imply that the current optical telescope scans of NGC 4993, in response to a LIGO trigger notice, are the "first" multimessenger astrophysical observations.
I think that honor belongs to SN 1987a, which had neutrinos detected by three different detectors, including Kamiokande (which wasn't yet Super :-), all of which preceded the optical observation.
IceCube (at the South Pole) has been running a notification system for several years, and is currently part of a global neutrino observatory consortium (SNEWS) to "pre-detect" nearby supernovae from their neutrino emission.