Amici, Oriella and Casciaro, Biagio and Francaviglia, Mauro (2004) Second Variation and Generalized Jacobi Equations for Curvature Invariants. Anno 1996, LXXIV. pp. 73-102.
We consider the second variation and the appropriate Jacobi eqautions for the scalar curvature and the quadratic curvature invariants based on an independent pair (g, T) formed by a metric and torsionless linear connection (so-called 'Palatini formalism'). The purely metric case is obtained as a consequence. The results are worked out in fill detail in view of applications to non-linear Lagrangian theories of gravitation.
|Subjects:||M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali|
|Depositing User:||Utente Interno|
|Date Deposited:||27 May 2004|
|Last Modified:||20 Sep 2012 06:51|
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