In what sense a neutron star-black hole binary is the holy grail for testing gravity?
Manjari Bagchi, Diego F. Torres

TL;DR
This paper examines whether neutron star-black hole binaries are truly the best systems for testing gravity, analyzing their advantages over other binary types in strong field regimes and considering various deviations.
Contribution
It critically evaluates the specific reasons why NS-BH binaries are considered ideal for gravity tests compared to NS-WD and NS-NS systems.
Findings
NS-BH binaries offer unique strong-field testing opportunities.
The superiority of NS-BH systems depends on the type of gravitational deviation.
Not all deviations are better tested with NS-BH binaries.
Abstract
Pulsars in binary systems have been very successful to test the validity of general relativity in the strong field regime. So far, such binaries include neutron star-white dwarf (NS-WD) and neutron star-neutron star (NS-NS) systems. It is commonly believed that a neutron star-black hole (NS-BH) binary will be much superior for this purpose. But in what sense is this true? Does it apply to all possible deviations?
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