We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in (4+N) dimensions. Under the assumption of separation of variables, we construct a family of Levi-Civita-Kasner vacuum solutions in (4 + N). We discuss the dimensional reduction of the static solutions. Depending on the reduction procedure, they can be interpreted either as a scalar-vacu...

Finsler geometry is an important extension of Riemann geometry, in which to each point the spacetime manifold arbitrary internal variable associated. Interesting geometries, with many physical applications, are Randers and Kropina type respectively. A subclass geometries represented by osculating spaces, a function base coordinates only. In one introduces Barthel connection, has remarkable prop...

This paper is devoted to compute the energy-momentum densities for two exact solutions of the Einstein field equations by using the prescriptions of Einstein, Landau-Lifshitz, Papapetrou and Möller. The spacetimes under consideration are the Weyl-Lewis-Papapetrou and the Levi-Civita metrics. The Weyl metric becomes the special case of the Weyl-Lewis-Papapetrou solution. The Levi-Civita metric p...

In this paper we study two different topics. The first topic is the applications of the geometric quantization scheme of Witten introduced in [2] and [15] to the problem of the quantum background independence in string theory. The second topic is the introduction of a Z structure on the tangent space of the moduli space of polarized CY threefolds M(M). Based on the existence of a Z structure on...

Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.

We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful static cylindrically symmmetric distributions of matter, smoothly matched to Levi-Civita vacuum spacetime. It is shown that the conformally flat solution with equal principal stresses represents an incompressible fluid. It is also proved that any conformally flat c...

Abstract We investigate the field equations of conformally invariant models gravity with curvature-matter coupling, constructed in Weyl geometry, using Palatini formalism. consider case which Lagrangian is given by sum square scalar, strength associated to vector, and a geometry-matter coupling term, from matter scalar. After substituting scalar terms its Riemannian counterpart, quadratic actio...

In a geometrical approach to gravity the metric and (gravitational) connection can be independent one deals with metric-affine theories. We construct most general action of effective field theories, including generic matter sector, where does not carry additional dynamical fields. Among other things, this helps in identifying complement set theories there are fields, which have an interesting p...