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"Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors"

Jonathan R. Gair and Michele Vallisneri and Shane L. Larson and John G. Baker

	Abstract
1	Introduction
2	The Theory of Gravitation
	2.1	Will’s “standard model” of gravitational theories
	2.2	Alternative theories
	2.3	The black-hole paradigm
3	Space-Based Missions to Detect Gravitational Waves
	3.1	The classic LISA architecture
	3.2	LISA-like observatories
	3.3	Mid-frequency space-based observatories
4	Summary of Low-Frequency Gravitational-Wave Sources
	4.1	Massive black-hole coalescences
	4.2	Extreme-mass-ratio inspirals
	4.3	Galactic binaries
5	Gravitational-Wave Tests of Gravitational Physics
	5.1	The “classic tests” of general relativity with gravitational waves
	5.2	Tests of general relativity with phenomenological inspiral template families
	5.3	Beyond the binary inspiral
6	Tests of the Nature and Structure of Black Holes
	6.1	Current observational status
	6.2	Tests of black-hole structure using EMRIs
	6.3	Tests of black-hole structure using ringdown radiation: black-hole spectroscopy
	6.4	Prospects from gravitational-wave and other observations
7	Discussion
	Acknowledgements
	References
	Footnotes
	Figures
	Tables

Acknowledgements

We thank Masaki Ando, Stanislav Babak, Christopher Berry, Emanuele Berti, Vitor Cardoso, Naoki Seto, Kent Yagi, and the Living Reviews referees for useful comments on the manuscript; we thank Christopher Moore for providing the image in Figure 2

. JG’s work is supported by the Royal Society. MV’s work was carried out at the Jet Propulsion Laboratory under contract with the National Aeronautics and Space Administration, with support from the LISA project and PCOS program. JB’s work was partly supported by NASA grant 11-ATP11-046.