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Inertial forces and photon surfaces in arbitrary spacetimes

2003/06/10 by Thomas Foertsch, Wolfgang Hasse, Volker Perlick · 1 voice · 2 citations
Materials Science · Physics and Astronomy · #Inertial frame of reference #Iron-based superconductors research #Observable #Phonon #Photon #Physics of Superconductivity and Magnetism #Quantum tunnelling #Spectral function #Superconductivity in MgB2 and Alloys #gr-qc

paper · pdf · doi:10.1088/0264-9381/20/21/006

published as Class.Quant.Grav. 20 (2003) 4635-4652 · 20 pages, 2 eps-figures; submitted to Class. Quantum Grav

arxiv created 2003/06/10 · arxiv published 2003/06/10 · arxiv updated 2003/06/10 · openalex publication_date 2003/09/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

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