Skip to main content Accessibility help

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.

Close cookie message
×
Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-05T15:54:52.729Z Has data issue: false hasContentIssue false

Appendix 9 - Boltzmann Equation in a Universe with Curvature

Published online by Cambridge University Press:  10 December 2020

Ruth Durrer
Ruth Durrer
Affiliation:
Université de Genève
Get access

Summary

In a series of appendices we give a list of physical constants and conversion factors; we present some mathematical details and the special functions needed in the main text; we derive the Boltzmann equation for a curved universe and we compute the fluctuations of the luminosity distance. We also solve some of the exercises given in the main text.

Keywords

Conversion factorsphysical constantsGeneral RelativityLie TransportWeyl tensorLegendre polynomialsBessel functions(spin-weighted) spherical harmonicsinvariant functions on the spherestatistical utensils
Type
Chapter
Information
The Cosmic Microwave Background , pp. 473 - 481
Publisher: Cambridge University Press
Print publication year: 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] 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.

Available formats
×

Save book 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 Dropbox.

Available formats
×

Save book to Google Drive

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.

Available formats
×