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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 14, 2014 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)

Implications of the Biancchi constraints in General Relativity

Ñ. Frønsdal

University of California, Los Angeles

Abstract: The requirement of invariance under gauge transformations gives to physical gauge theories their special character. In this sense Einstein's General Theory of Relativity is not exceptional: the focus is on the Biancchi identity and on the associated Biancchi constraint. The principal equation $G \mu í = T \mu í$ requires that the right hand side satisfy the constraint $T\mu í$, $í = 0$, by virtue of the matter field equations.