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.
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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.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||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|
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