We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
from Part III - Other Spins or Statistics; General Relativity
Published online by Cambridge University Press: 04 March 2019
We consider perturbative gravity for small fluctuations of the metric and derive the quadratic Fierz–Pauli action for them. We derive its gauge invariance and fix it by the de Donder gauge, equivalent of the Lorenz gauge of electromagnetism, and leading to the KG equation. We also define synchronous and Newtonian gauges. Gravitational waves are defined, and their generation via retarded sources is shown. The formula for the gravitational wave perturbation in terms of the time variation of a quadrupole momentum is proven. Finally, the exact cylindrical wave of Einstein and Rosen is found.
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.
