Existence and uniqueness theorems for viscous fluids capable of heat conduction in a relativistic theory of non stationary thermodynamics
Existence of geodesics for the Lorentz metric of a stationary gravitational field
Exotic galilean symmetry and non-commutative mechanics.
Explicit solutions of on the Friedmann-Robertson-Walker space-times
theories.
Factorization method and Gegenbauer polynomials in tense brane black hole.
Fastest curves and toroidal black holes
We discuss an apparent paradox (and conjectured resolution) of Jacobson and Venkataramani concerning 'temporarily toroidal' black hole horizons, in light of a recent connectivity theorem for spaces of complete causal curves. We do this in a self-contained manner by first reviewing the 'fastest curve argument' which proves this connectivity theorem, and we note that active topological censorship can be derived as a corollary of this argument. We argue that the apparent paradox arises only when one...
Fermion on curved spaces, symmetries, and quantum anomalies.
Field theory on curved noncommutative spacetimes.
Foliations of lightlike hypersurfaces and their physical interpretation
This paper deals with a family of lightlike (null) hypersurfaces (H u) of a Lorentzian manifold M such that each null normal vector ℓ of H u is not entirely in H u, but, is defined in some open subset of M around H u. Although the family (H u) is not unique, we show, subject to some reasonable condition(s), that the involved induced objects are independent of the choice of (H u) once evaluated at u = constant. We use (n+1)-splitting Lorentzian manifold to obtain a normalization of ℓ and a well-defined...
Fonctions de Mathieu et fonctions propres de l'oscillateur relativiste
Formulazione intrinseca del problema di Cauchy in relatività generale
Viene stabilita una formulazione intrinseca del problema di Cauchy in Relatività generale, per uno spazio-tempo riemanniano descritto da un mezzo continuo globale e non-polare. In termini di variabili proprie: metrica, velocità angolare e di deformazione, densità di pura materia, flusso termico e temperatura. Vengono altresì precisate le condizioni iniziali per i dati di Cauchy su una assegnata superficie spaziale ; condizioni in involuzione nel senso d'E. Cartan, le quali mettono in evidenza,...
Formulazione relativa delle leggi di evoluzione di un sistema continuo in relatività generale. Nota II
Formulazione relativa delle leggi di evoluzione di un sistema continuo in relatività generale
Fractional flux and non-normal diffusion.
Gauge symmetries of an extended phase space for Yang-Mills and Dirac fields
General relativistic celestial mechanics of binary systems. I. The post-newtonian motion
General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula
Generalized geodesic deviations: a Lagrangean approach
The geodesic deviation equations, called also the Jacobi equations, describe only the first-order effects, linear in the small parameter characterizing the deviation from an original worldline. They can be easily generalized if we take into account the higher-order terms. Here we derive these higher-order equations not only directly, but also from the Taylor expansion of the variational principle itself. Then we show how these equations can be used in a novel approach to the two-body problem in...
Generating series and asymptotics of classical spin networks
We study classical spin networks with group SU. In the first part, using Gaussian integrals, we compute their generating series in the case where the edges are equipped with holonomies; this generalizes Westbury’s formula. In the second part, we use an integral formula for the square of the spin network and perform stationary phase approximation under some non-degeneracy hypothesis. This gives a precise asymptotic behavior when the labels are rescaled by a constant going to infinity.