Jump to ContentJump to Main Navigation
Introduction to Black Hole Physics$
Users without a subscription are not able to see the full content.

Valeri P. Frolov and Andrei Zelnikov

Print publication date: 2011

Print ISBN-13: 9780199692293

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199692293.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 19 November 2019

Particles and Light Motion in Schwarzschild Spacetime

Particles and Light Motion in Schwarzschild Spacetime

Chapter:
(p.185) 7 Particles and Light Motion in Schwarzschild Spacetime
Source:
Introduction to Black Hole Physics
Author(s):

Valeri P. Frolov

Andrei Zelnikov

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199692293.003.0007

This Chapter studies particle and light motion near the Schwarzschild black hole. We focus mainly on those aspects of the motion that are specific for the black holes and that are of the most interest for astrophysical applications. For the particle motion, we discuss types of the orbits, gravitational capture, circular orbits near the black hole, the innermost stable orbits, the relativistic version of the Kepler’ laws. For the light propagation, we describe light trajectories, critical impact parameter for light capture by a black hole, bending angle and time delay for light scattering, including their asymptotic behavior in the near critical regime (Darwin’s formulas). A method of ray tracing in the Schwarzschild spacetime is used for calculation of different observable effects, such as frequency shift of light emitted by particles moving around a black hole, and lensing properties of black holes. We also briefly discuss weakly magnetized black holes and charged particle motion in their vicinity. At the end of the Chapter particle and light motion is analyzed in the higher dimensional spherical black holes.

Keywords:   schwarzschild metric, particle orbit, light ray propagation, gravitational lens, ray‐tracing, time delay

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .