Phase velocity and light bending in a gravitational potential
| Autor: | José-Philippe Pérez, Brahim Lamine |
|---|---|
| Přispěvatelé: | Institut de recherche en astrophysique et planétologie (IRAP), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Observatoire Midi-Pyrénées (OMP), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Institut national des sciences de l'Univers (INSU - CNRS)-Université Toulouse III - Paul Sabatier (UT3), Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
General relativity
Physics - History and Philosophy of Physics General Physics and Astronomy FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Curvature 01 natural sciences General Relativity and Quantum Cosmology Length contraction Gravitation symbols.namesake Theoretical physics Gravitational potential 0103 physical sciences History and Philosophy of Physics (physics.hist-ph) Time dilation Einstein 010306 general physics Physics [PHYS]Physics [physics] Spacetime 05 social sciences 050301 education symbols [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] 0503 education |
| Zdroj: | Eur.J.Phys. Eur.J.Phys., 2018, 39 (5), pp.055602. ⟨10.1088/1361-6404/aacaac⟩ |
| DOI: | 10.1088/1361-6404/aacaac⟩ |
| Popis: | In this paper we review the derivation of light bending obtained before the discovery of General Relativity (GR). It is intended for students learning GR or specialist that will find new lights and connexions on these historic derivations. Since 1915, it is well known that the observed light bending stems from two contributions : the first one is directly deduced from the equivalence principle alone and was obtained by Einstein in 1911; the second one comes from the spatial curvature of spacetime. In GR, those two components are equal, but other relativistic theories of gravitation can give different values to those contributions. In this paper, we give a simple explanation, based on the wave-particle picture of why the first term, which relies on the equivalence principle, is identical to the one obtained by a purely Newtonian analysis. In this context of wave analysis, we emphasize that the dependency of the velocity of light with the gravitational potential, as deduced by Einstein concerns the phase velocity. Then, we wonder whether Einstein could have envisaged already in 1911 the second contribution, and therefore the correct result. We argue that considering a length contraction in the radial direction, along with the time dilation implied by the equivalence principle, could have led Einstein to the correct result. Comment: 21 pages, 3 figures |
| Databáze: | OpenAIRE |
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