Levi-Civita simplifies Einstein. The Ricci ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Levi-Civita simplifies Einstein. The Ricci rotation coefficients and unified field theories
Author(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
Università degli Studi di Padova = University of Padua [Unipd]
Tazzioli, Rossana [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Journal title :
Archive for History of Exact Sciences
Pages :
87-126
Publisher :
Springer Verlag
Publication date :
2023
ISSN :
0003-9519
HAL domain(s) :
Mathématiques [math]
Physique [physics]
Physique [physics]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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