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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.

Accepted Version


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.

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
Deposited On:29 Nov 2010 16:26
Last Modified:30 Nov 2013 11:31
Publisher:Institute of Physics Publishing
Additional Information:© IOP Publishing 2003
Publisher DOI:10.1088/0264-9381/20/21/006
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2019437
Citations:Web of Science®. Times Cited: 10
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Scopus®. Citation Count: 9

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