Spacetime contraction in the Einstein's elevator

Abstract The equivalence principle was explained by Einstein using the didactic “mental experiment” of a uniform gravitational field inside an elevator. The Earth gravitational field is not really uniform so the question about how to create a uniform gravitational field is legitimate. To this aim, i...

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Bibliographic Details
Main Author: Antonio Feoli
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2020-10-01
Series:Revista Brasileira de Ensino de Física
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172020000100493&tlng=en
Description
Summary:Abstract The equivalence principle was explained by Einstein using the didactic “mental experiment” of a uniform gravitational field inside an elevator. The Earth gravitational field is not really uniform so the question about how to create a uniform gravitational field is legitimate. To this aim, instead of using metrics depending on spatial coordinates, we have studied a cosmological - like metric and we have found that, under suitable assumptions, it is possible to measure a uniformly accelerated motion for the test particles moving inside the elevator.
ISSN:1806-9126