Abstract
In this paper, we briefly review some of the applications to fundamental physics and cosmology of the observations that will be made with the future space-based gravitational wave (GW) detector LISA. This includes detection of GW bursts generated by cosmic strings, measurement of a stochastic GW background, mapping the spacetime around massive compact objects in galactic nuclei using extreme-mass-ratio inspirals and testing the predictions of general relativity for the strong dynamical fields generated by inspiralling binaries. We give particular attention to some new results which demonstrated the capability of LISA to constrain cosmological parameters using observations of coalescing massive black hole binaries.
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