56 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- La Trobe UniversityAU3 papers
- Transylvania University of BrașovRO3 papers
- Gran Sasso Science InstituteIT2 papers
- Istituto Nazionale di Fisica NucleareIT2 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT2 papers
- Tomsk State Pedagogical UniversityRU2 papers
- University of MonsBE2 papers
- University of Naples Federico IIIT2 papers
- University of TurinIT2 papers
- Collegio Carlo AlbertoIT1 paper
- Goethe University FrankfurtDE1 paper
- Institute of Mathematical SciencesIN1 paper
13 papers
Metric-affine cosmological models and the inverse problem of the calculus of variations. Part II: Variational bootstrapping of the CDM model
Ludovic Ducobu, Nicoleta Voicu
The method of variational bootstrapping, based on canonical variational completion, allows one to construct a Lagrangian for a physical theory depending on two sets of field variab…
Metric-affine cosmological models and the inverse problem of the calculus of variations. Part 1: variational bootstrapping -- the method
Ludovic Ducobu, Nicoleta Voicu
The method of variational completion allows one to transform an (in principle, arbitrary) system of partial differential equations -- based on an intuitive ``educated guess'' -- in…
Lepage Equivalents and the Variational Bicomplex
David Saunders
We show how to construct, for a Lagrangian of arbitrary order, a Lepage equivalent satisfying the closure property: that the Lepage equivalent vanishes precisely when the Lagrangia…
A cohomological obstruction in higher dimensional Chern--Simons gauge theories
Marcella Palese, Ekkehart Winterroth
We study a set of cohomology classes which emerge in the cohomological formulations of the calculus of variations as obstructions to the existence of (global) solutions of the Eule…
Relativistic mechanics of constant curvature
R. Ya. Matsyuk
We consider an inverse variational problem for the lines of constant curvature in (pseudo-)Euclidean two-, three-, and four-dimensional spaces. The accumulated results are physical…
Covariant derivatives for Ehresmann connections
G. E. Prince, D. J. Saunders
We deal with the construction of covariant derivatives for some quite general Ehresmann connections on fibre bundles. We show how the introduction of a vertical endomorphism allows…
Linear connections and shape maps for second order ODEs with and without constraints
G. E. Prince, M. Farré Puiggalí, D. J. Saunders +1
We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method all…
Mathematical foundations for field theories on Finsler spacetimes
Manuel Hohmann, Christian Pfeifer, Nicoleta Voicu
The paper introduces a general mathematical framework for action based field theories on Finsler spacetimes. As most often fields on Finsler spacetime (e.g., the Finsler fundamenta…
Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system
Marcella Palese, Ekkehart Winterroth
We prove that with a -dimensional Toda type system are associated algebraic skeletons which are (compatible assemblings) of particle-like Lie algebras of dyons and triadons…
Maximum turnaround radius in gravity
Salvatore Capozziello, Konstantinos F. Dialektopoulos, Orlando Luongo
The accelerating behavior of cosmic fluid opposes to the gravitational attraction, at present epoch, whereas standard gravity is dominant at small scales. As a consequence, there e…
Observational constraints on Gauss-Bonnet cosmology
Micol Benetti, Simony Santos da Costa, Salvatore Capozziello +2
We analyze a fully geometric approach to dark energy in the framework of theories of gravity, where is the Ricci curvature scalar and is the Gauss-Bo…
Variational submanifolds of Euclidean spaces
Demeter Krupka, Zbyněk Urban, Jana Volná
Systems of ordinary differential equations (or dynamical forms in Lagrangian mechanics), induced by embeddings of smooth fibered manifolds over one-dimensional basis, are considere…
Variational Sequences, Representation Sequences and Applications in Physics
Marcella Palese, Olga Rossi, Ekkehart Winterroth +1
This paper is a review containing new original results on the finite order variational sequence and its different representations with emphasis on applications in the theory of var…