Levi-Civita simplifies Einstein. The Ricci rotation coefficients and unified field theories

Cardin, Franco; Tazzioli, Rossana

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s00407-023-00322-0

Titre :

Levi-Civita simplifies Einstein. The Ricci rotation coefficients and unified field theories

Auteur(s) :

Cardin, Franco [Auteur]
Università degli Studi di Padova = University of Padua [Unipd]
Tazzioli, Rossana [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille

Titre de la revue :

Archive for History of Exact Sciences

Pagination :

87-126

Éditeur :

Springer Verlag

Date de publication :

2023

ISSN :

0003-9519

Discipline(s) HAL :

Mathématiques [math]
Physique [physics]

Résumé en anglais : [en]

This paper concerns late 1920 s attempts to construct unitary theories of gravity andelectromagnetism. A first attempt using a non-standard connection—with torsion andzero-curvature—was carried out by Albert Einstein in a ...
Lire la suite >This paper concerns late 1920 s attempts to construct unitary theories of gravity andelectromagnetism. A first attempt using a non-standard connection—with torsion andzero-curvature—was carried out by Albert Einstein in a number of publications thatappeared between 1928 and 1931. In 1929, Tullio Levi-Civita discussed Einstein’sgeometric structure and deduced a new system of differential equations in a Rieman-nian manifold endowed with what is nowadays known as Levi-Civita connection.He attained an important result: Maxwell’s electromagnetic equations and the grav-itational equations were obtained exactly, while Einstein had deduced them only asa first order approximation. A main feature of Levi-Civita’s theory is the essentialuse of the Ricci’s rotation coefficients, introduced by Gregorio Ricci Curbastro manyyears before. We trace the history of Ricci’s coefficients that are still used today, andhighlight their geometric and mechanical meaning.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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