Extended Theories of Gravity and their Cosmological and Astrophysical Applications (2007)
Capozziello, Salvatore, Francaviglia, Mauro
We review Extended Theories of Gravity in metric and Palatini formalism pointing out their cosmological and astrophysical application. The aim is to propose an alternative approach to solve the...
Geometric Entropy of Self-Gravitating Systems (2007)
Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia, Silvio Mercadante
We shall review different approaches to the entropy of self-gravitating systems inGeneral Relativity. Then we shall discuss in detail the macroscopic approach based on a la `Clausius point of view....
Bibbona, Enrico, Fatibene, Lorenzo, Francaviglia, Mauro
Starting from a characterization of admissible Cheataev and vakonomic variations in a field theory with constraints we show how the so called parametrized variational calculus can help to derive the...
On the Variational Characterisation of Generalized Jacobi Equations (2006)
Casciaro, Biagio, Francaviglia, Mauro, Tapia, Victor
We study higher--order variational derivatives of a generic second--order Lagrangian ${\cal L}={\cal L}(x,\phi,\partial\phi,\partial^2\phi)$ and in this context we discuss the Jacobi equation ensuing...
Bibbona, Enrico, Fatibene, Lorenzo, Francaviglia, Mauro
Variational principles for field theories where variations of fields are restricted along a parametrization are considered. In particular, gauge-natural parametrized variational problems are defined...
Dynamics and Thermodynamics of Blackholes and Naked Singularities (2005)
Fatibene, Lorenzo, Francaviglia, Mauro, Giambo', Roberto, Magli, Giulio
Proceedings of the international Workshop on ``Dynamics and Thermodynamics of Blackholes and Naked Singularities``, that took place at the Department of Mathematics of the Politecnico of Milano from...
Post-Newtonian Parameters from Alternative Theories of Gravity (2005)
Allemandi, Gianluca, Francaviglia, Mauro, Ruggiero, Matteo Luca, Tartaglia, Angelo
Alternative theories of gravity have been recently studied in connection with their cosmological applications, both in the Palatini and in the metric formalism. The aim of this paper is to propose a...
Dark Energy Dominance and Cosmic Acceleration in First Order Formalism (2005)
Allemandi, Gianluca, Borowiec, Andrzej, Francaviglia, Mauro, Odintsov, Sergei D.
The current accelerated universe could be produced by modified gravitational dynamics as it can be seen in particular in its Palatini formulation. We analyze here a specific non-linear gravity-scalar...
Thermodynamics of heterogeneous and anisotropic nonlinear ferroelastic crystals (2005)
Francaviglia, Mauro, Restuccia, Liliana
In a previous paper, in a geometrized framework for the description of simple materials with internal variables, the specific example of ferroelastic crystals with anisotropy grain-tensors à la...
Conformal aspects of Palatini approach in Extended Theories of Gravity (2004)
Allemandi, Gianluca, Capone, Monica, Capozziello, Salvatore, Francaviglia, Mauro
The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not...
Accelerated Cosmological Models in First-Order Non-Linear Gravity (2004)
Allemandi, Gianluca, Borowiec, Andrzej, Francaviglia, Mauro
The evidence of the acceleration of universe at present time has lead to investigate modified theories of gravity and alternative theories of gravity, which are able to explain acceleration from a...
A New Geometric Proposal for the Hamiltonian Description of Classical Field Theories (2003)
Francaviglia, Mauro, Palese, Marcella, Winterroth, Ekkehart
We consider the geometric formulation of the Hamiltonian formalism for field theory in terms of {\em Hamiltonian connections} and {\em multisymplectic forms}. In this framework the covariant Hamilton...
Two-spinor Formulation of First Order Gravity coupled to Dirac Fields (1999)
Godina, Marco, Matteucci, Paolo, Fatibene, Lorenzo, Francaviglia, Mauro
Two-spinor formalism for Einstein Lagrangian is developed. The gravitational field is regarded as a composite object derived from soldering forms. Our formalism is geometrically and globally...
Remarks on Noether charges and black holes entropy (1998)
Fatibene, Lorenzo, Ferraris, Marco, Francaviglia, Mauro, Raiteri, Marco
We criticize and generalize some properties of Noether charges presented in a paper by V. Iyer and R. M. Wald and their application to entropy of black holes. The first law of black holes...
Two-Dimensional Dilaton-Gravity Coupled to Massless Spinors (1998)
Cavaglia, Marco, Fatibene, Lorenzo, Francaviglia, Mauro
We apply a global and geometrically well-defined formalism for spinor-dilaton-gravity to two-dimensional manifolds. We discuss the general formalism and focus attention on some particular choices of...
Two-component spinor Lie derivatives and spinor-gauge gravity (1997)
Godina, Marco, Borowiec, Andrzej, Ferraris, Marco, Francaviglia, Mauro, Matteucci, Paolo
%auto-ignore This paper has been withdrawn by the authors.
A geometric definition of Lie derivative for Spinor Fields (1997)
For Spinor Fields, Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia, Marco Godina
this paper we shall give a new definition of Lie derivative for spinor fields and we will show that for particular infinitesimal lifts, i.e. for Kosmann vector fields, our definition coincides with...
Gauge Formalism for General Relativity and Fermionic Matter (1996)
Fatibene, Lorenzo, Ferraris, Marco, Francaviglia, Mauro, Godina, Marco
A new formalism for spinors on curved spaces is developed in the framework of variational calculus on fibre bundles. The theory has the same structure of a gauge theory and describes the interaction...
A geometric definition of Lie derivative for Spinor Fields (1996)
Fatibene, Lorenzo, Ferraris, Marco, Francaviglia, Mauro, Godina, Marco
Relying on the general theory of Lie derivatives a new geometric definition of Lie derivative for general spinor fields is given, more general than Kosmann's one. It is shown that for particular...
On The Variational Characterization Of Generalized . . . (1996)
Biagio Casciaro, Mauro Francaviglia, Victor Tapia
. We study higher--order variational derivatives of a generic second--order Lagrangian L 0 = L 0 (x; OE; @OE; @ 2 OE) and in this context we discuss the Jacobi equation ensuing from the second...
8th Italian Conference on General Relativity and Gravitational Physics (1990)
Cerdonio, M, Cianci, Roberto, Francaviglia, Mauro, Toller, Marco