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"Gravitational-Wave Tests of General Relativity with Ground-Based Detectors and Pulsar-Timing Arrays"

Nicolás Yunes and Xavier Siemens

	Abstract
1	Introduction
	1.1	The importance of testing
	1.2	Testing general relativity versus testing alternative theories
	1.3	Gravitational-wave tests versus other tests of general relativity
	1.4	Ground-based vs space-based detectors and interferometers vs pulsar timing
	1.5	Notation and conventions
2	Alternative Theories of Gravity
	2.1	Desirable theoretical properties
	2.2	Well-posedness and effective theories
	2.3	Explored theories
	2.4	Currently unexplored theories in the gravitational-wave sector
3	Detectors
	3.1	Gravitational-wave interferometers
	3.2	Pulsar timing arrays
4	Testing Techniques
	4.1	Coalescence analysis
	4.2	Burst analyses
	4.3	Stochastic background searches
5	Compact Binary Tests
	5.1	Direct and generic tests
	5.2	Direct tests
	5.3	Generic tests
	5.4	Tests of the no-hair theorems
6	Musings About the Future
	Acknowledgements
	References
	Footnotes
	Figures
	Tables

List of Tables

Table 1:
Comparison of proposed tests of scalar-tensor theories.

Table 2:
Comparison of proposed tests of massive graviton theories. Ang. Ave. stands for an angular average over all sky locations.

Table 3:
Parameters that define the deformation of the response function in a variety of modified gravity theories. The notation $⋅$ means that a value for this parameter is irrelevant, as its amplitude is zero.

Table 4:
Interpretation of non-zero ppE parameters.