Gravity fall of light: An outline of a general relativity test
2004; American Physical Society; Volume: 69; Issue: 2 Linguagem: Inglês
10.1103/physrevd.69.027101
ISSN1550-7998
Autores Tópico(s)Cosmology and Gravitation Theories
ResumoWe have found the following general relativity (GR) result: when a light ray is emitted and travels in a (nearly) uniform gravitational field g, its parabolic trajectory is that of one that would be traced by a massive Newtonian particle in a field three times greater, $3g.$ So, if a photon departs from a point on the Earth's surface, with an initial horizontal direction, and goes over a distance $\ensuremath{\Delta}L[(\ensuremath{\Delta}L/R)\ensuremath{\ll}1],$ its linear vertical deflection is $\ensuremath{\Delta}{H}_{\mathrm{GR}}=\frac{3}{2}[g(\ensuremath{\Delta}{L)}^{2}{/c}^{2}].$ The Newtonian result would be three times smaller. That is to say, the principle of equivalence is responsible for one-third of the vertical deflection. We think that this remarkable difference deserves research into the possibility of a GR test based on the vertical fall of terrestrial light.
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