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Neutron stars are one of the most mysterious wonders in the Universe. Theirextreme densities hint at new and exotic physics at work within. Gravitationalwaves could be the key to unlocking their secrets. In particular, a firstdetection of gravitational waves from rapidly-spinning, deformed neutron starscould yield new insights into the physics of matter at extreme densities andunder strong gravity. Once a first detection is made, a critical challenge willbe to robustly extract physically interesting information from the detectedsignals. In this essay, we describe initial research towards answering thischallenge, and thereby unleashing the full power of gravitational waves as anengine for the discovery of new physics.

What are neutron stars made of? Gravitational waves may reveal the answer