Lombriser, Lucas 2019 <jats:p> With the increasing wealth of high-quality astronomical and cosmological data and the manifold departures from General Relativity in principle conceivable, the development of generalized parametrization frameworks that unify gravitational models and cover a wide range of length scales and a variety of observational probes to enable systematic high-precision tests of gravity has been a stimulus for intensive research. A review is presented here for some of the formalisms devised for this purpose, covering the cosmological large- and small-scale structures, the astronomical static weak-field regime as well as emission and propagation effects for gravitational waves. This includes linear and nonlinear parametrized post-Friedmannian frameworks, effective field theory approaches, the parametrized post-Newtonian expansion, the parametrized post-Einsteinian formalism as well as an inspiral-merger-ringdown waveform model among others. Connections between the different formalisms are highlighted where they have been established and a brief outlook is provided for general steps towards a unified global framework for tests of gravity and dark sector models. </jats:p> application/pdf https://sonar.ch/global/documents/216073 eng info:eu-repo/semantics/altIdentifier/doi/10.1142/s0218271818480024 info:eu-repo/semantics/altIdentifier/issn/0218-2718 info:eu-repo/semantics/openAccess International Journal of Modern Physics D. - World Scientific Pub Co Pte Lt. - 2018, vol. 27, no. 15, p. 1848002 Space and Planetary Science Mathematical Physics Astronomy and Astrophysics Parametrizations for tests of gravity http://purl.org/coar/resource_type/c_6501