Quick Search:

uzh logo
Browse by:
bullet
bullet
bullet
bullet

Zurich Open Repository and Archive

Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21872

Foertsch, T; Hasse, W; Perlick, V (2003). Inertial forces and photon surfaces in arbitrary spacetimes. Classical and Quantum Gravity, 20(21):4635-4651.

[img]
Preview
Accepted Version
PDF
288kB

View at publisher

Abstract

Given, in an arbitrary spacetime (M, g), a two-dimensional timelike submanifold Σ and an observer field n on Σ, we assign gravitational, centrifugal, Coriolis and Euler forces to every particle worldline λ in Σ with respect to n. We prove that centrifugal and Coriolis forces vanish, for all λ in Σ with respect to any n, if and only if Σ is a photon 2-surface, i.e., generated by two families of lightlike geodesics. We further demonstrate that a photon 2-surface can be characterized in terms of gyroscope transport and we give several mathematical criteria for the existence of photon 2-surfaces. Finally, examples of photon 2-surfaces in conformally flat spacetimes, in Schwarzschild and Reissner–Nordström spacetimes, and in Gödel spacetime are worked out.

Citations

10 citations in Web of Science®
9 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

133 downloads since deposited on 29 Nov 2010
100 downloads since 12 months

Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:centrifugal force; black hole; Coriolis force
Language:English
Date:2003
Deposited On:29 Nov 2010 16:26
Last Modified:30 Nov 2013 11:31
Publisher:Institute of Physics Publishing
ISSN:0264-9381
Additional Information:© IOP Publishing 2003
Publisher DOI:10.1088/0264-9381/20/21/006
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2019437
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1050.83009

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page