Skip to main content Accessibility help
×
Hostname: page-component-669899f699-8p65j Total loading time: 0 Render date: 2025-05-04T04:05:31.770Z Has data issue: false hasContentIssue false

17 - The Raychaudhuri equation

Published online by Cambridge University Press:  24 April 2025

Horatiu Nastase
Affiliation:
Universidade Estadual Paulista, São Paulo
Get access

Summary

After a general description of event horizons, and the definition of the surface gravity of a horizon, we find some formulae valid at horizons. Finally, we calculate the Raychaudhuri equation for the convergence of a black hole, defining the fact that gravity is always convergent. We apply it to horizons, defined by null geodesics, where the equation is slightly modified.

Type
Chapter
Information
General Relativity
A Graduate Course
, pp. 180 - 187
Publisher: Cambridge University Press
Print publication year: 2025

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.)

Book purchase

Temporarily unavailable

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.

  • The Raychaudhuri equation
  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book: General Relativity
  • Online publication: 24 April 2025
  • Chapter DOI: https://doi.org/10.1017/9781009575737.020
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.

  • The Raychaudhuri equation
  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book: General Relativity
  • Online publication: 24 April 2025
  • Chapter DOI: https://doi.org/10.1017/9781009575737.020
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.

  • The Raychaudhuri equation
  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book: General Relativity
  • Online publication: 24 April 2025
  • Chapter DOI: https://doi.org/10.1017/9781009575737.020
Available formats
×