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• W3100573194 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." @default.
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• W3100573194 date "2003-09-29" @default.
• W3100573194 modified "2023-10-16" @default.
• W3100573194 title "Inertial forces and photon surfaces in arbitrary spacetimes" @default.
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• W3100573194 doi "https://doi.org/10.1088/0264-9381/20/21/006" @default.
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