Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-10-15
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
2 pages, 17 relations; a second page is added to show that also Hilbert could not have found the Einstein tensor by a practica
Scientific paper
A mathematical mistake due to an unjustified formal assumption in the variational principle of general relativity theory, which obviously has confused Einstein as well as Hilbert, is shown and cleared up here. Thereby the 'amicable controversy' of spring 1915 with Levi-Civita - otherwise still confusing - seems finally dissolved. In particular, it is proved that also Hilbert could not have found the correct Einstein tensor by a practicable calculation from the basic relations of his widely discussed "first note" (published 1916) straightforwardly.
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