Footnote 7

Articles
Journal
- Details
- Scope
- Editors
- Authors
Home

sidebar

"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

The Petrov type of a metric describes the algebraic properties of the Weyl tensor, the vacuum part of the Riemann tensor. The Petrov classification is based on the multiplicities of the null eigenvectors (principal null directions) of the Weyl tensor. A metric of Petrov type D is algebraically special, having two repeated (double) principal null vectors, while metrics of type I have no algebraic symmetry, possessing four simple principal null directions.