The detection of a pulsar in a tight, relativistic orbit around a supermassive
or intermediate mass black hole - such as those in the Galactic centre or in
the centre of Globular clusters - would allow for precision tests of general
relativity in the strong-field, non-linear regime. I will present a fully general
relativistic framework for the calculation of the theoretical time-frequency
signal from a pulsar in such a system. This model will provide an accurate
theoretical basis, applicable to the strong-gravity regime, to then compare
with observations in order to test fundamental physics.
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