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We study the ability of the advanced Laser Interferometer Gravitational-waveObservatory (aLIGO) to detect apparent violations of the cosmic censorshipconjecture and the no-hair theorem. The cosmic censorship conjecture, which isbelieved to be true in the theory of general relativity, limits thespin-to-mass-squared ratio of a Kerr black hole. The no-hair theorem, which isalso believed to be true in the theory of general relativity, suggests aparticular value for the tidal Love number of a non-rotating black hole. Usingthe Fisher matrix formalism, we examine the measurability of the spin and tidaldeformability of compact binary systems involving at least one putative blackhole. Using parameter measurement errors and correlations obtained from theFisher matrix, we determine the smallest detectable violation of bounds impliedby the cosmic censorship conjecture and the no-hair theorem. We examine theeffect of excluding unphysical areas of parameter space when determining thesmallest detectable apparent violations, and we examine the effect of differentpost-Newtonian corrections to the amplitude of the compact binary coalescencegravitational waveform. In addition, we perform a brief study of how therecently calculated 3.0 pN and 3.5 pN spin-orbit corrections to the phaseaffect spin and mass parameter measurability. We find that physical priors onthe symmetric mass ratio and higher harmonics in the gravitational waveformcould significantly affect the ability of aLIGO to investigate cosmiccensorship and the no-hair theorem for certain systems.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Advanced LIGO's ability to detect apparent violations of the cosmic  censorship conjecture and the no-hair theorem through compact binary  coalescence detections