Experimentally obtaining metrics in general relativity

Details Experimentally obtaining metrics in general relativity Experimentally obtaining metrics in general relativity

2005-05-10

arxiv.org/abs/gr-qc/0505047v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, in Esperanto

Scientific paper

It seems to be not well known that the metrics of general relativity (GR) can be obtained without integrating Einstein equations. To that, we need only define a unit for GR-interval $\Delta s$, and observe 10 geodesics (out of which at least one must be nonnull). Even without using any unit, we can have $\kappa g_{\mu\nu}(x^\rho)$, where $\kappa=$const. Our notes attempt to simplify the articles of E. Kretschmann (1917) and of H.A. Lorentz (1923) about this last subject. The text of this article in English will soon be available, in LaTeX. Please ask the author. ----- /Sajne estas malmulte konata ke la metrikoj de /generala relativeco (/GR) povas esti havataj sen integri Einstein-ajn ekvaciojn. Por tio, ni bezonas difini nur unuon por /GR-tempo $\Delta s$, kaj observi 10 geodezajn (el kiuj, almena/u unu devas esti nenulan). E/c sen uzi iun unuon, ni povas havi $\kappa g_{\mu\nu}(x^\rho)$, kie $\kappa$=konst. Niaj notoj tentas simpligi la artikolojn de E. Kretschmann (1917) kaj de H.A. Lorentz (1923) pri tiu lasta afero.

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