Global d-invariance in field theory

Remarks on Nöther Charges and Black Holes Entropy

“…Moreover, a particular class of Lagrangians has been chosen with the aim of applying the framework to General Relativity; the representatives of this class of Lagrangians depend on fields and their derivatives through involved expressions which make results difficult to be achieved. Finally, most of the properties of Nöther charges used more or less explicitely in [1] have been in fact known for long time in various frameworks, some of which much simpler and more general than the framework introduced in [1] (see, for example, [3], [4], [5], [6], [7], [8] and references quoted therein).…”

Lagrangian description of the variational equations

“…It is to be emphaziced that our results are valid for field theories and non-linear evolution equations and can be also extended to the higher order Lagrangians which found application in relativistic theories [2,18]. Moreover, we can apply the techniques presented here in the framework of first-order variational principles on fibered manifolds and their jet prolongations [19,35]. Our formulation may also possibly be used to study the so-called geoodular structure (a mathematical scheme that defines curvature in terms of properties of congruences of geodesics and their variational equations in affinely connected manifolds [36]).…”

Covariant Lagrangian Formalism for Chern-Simons Theories

“…Alternatively, using the results of [13] (also reviewed in [12]), the Lagrangian L AĀ can be shown to split as…”