General relativity is a gauge type theory

✍ Scribed by Marco Ferraris; Jerzy Kijowski

• Publisher: Springer
• Year: 1981
• Tongue: English
• Weight: 331 KB
• Volume: 5
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00403241

✦ Synopsis

A B ST R ACT. It is shown that the Einstein-Maxwell theory of interacting electromagnetism and gravitation, can be derived from a first-order Lagrangian, depending on the electromagnetic field and on tile curvature of a symmetric affine connection P on the space-time M. The variation is taken with respect to the electromagnetic potential (a connection on a U(1) principal fiber bundle on M) and tile 'gravitational potential' F (a connection on the GL(4, R) principal fiber bundle of frames on M). The metric tensor g does not appear in the Lagrangian, but it arises as a momentum canomcally conjugated to r. The Lagrangians of this type are calculated also for the Proca field, for a charged scalar field interacting with electromagnetism and gravitation, and for a few other interesting physical theories.