Book contents
- An Introduction to Gravity
- An Introduction to Gravity
- Copyright page
- Contents
- Preface
- Acknowledgments
- 1 Newtonian Gravity
- 2 Transformation and Tensors
- 3 The Riemann Tensor and Einstein’s Equation
- 4 Vacuum Solutions and Geodesics
- 5 Gravitational Waves and Radiation
- 6 Gravitational Sources
- 7 Field Theories and Gravity
- Book part
- References
- Index
5 - Gravitational Waves and Radiation
Published online by Cambridge University Press: 04 May 2024
- An Introduction to Gravity
- An Introduction to Gravity
- Copyright page
- Contents
- Preface
- Acknowledgments
- 1 Newtonian Gravity
- 2 Transformation and Tensors
- 3 The Riemann Tensor and Einstein’s Equation
- 4 Vacuum Solutions and Geodesics
- 5 Gravitational Waves and Radiation
- 6 Gravitational Sources
- 7 Field Theories and Gravity
- Book part
- References
- Index
Summary
Gravitational plane waves and their detection start the chapter off in parallel with electromagnetic plane waves and their detection. Geodesic deviation is reviewed and allows for a brief introduction to LIGO. The stress tensor source of radiation (and therefore, at least local, plane waves) and its conservation of energy and momentum are tied to the radiation solution of the linearized form of Einstein’s equation. A highlight is the role of gauge freedom in making gravitational plane waves physically relevant (by gauge fixing to reveal the underlying plus and cross polarizations). Power loss to gravitational radiation is discussed in the linearized limit by comparison with electric quadrupole radiation.
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- An Introduction to Gravity , pp. 173 - 210Publisher: Cambridge University PressPrint publication year: 2024