On Useful Conformal Tranformations In General Relativity

Local conformal transformations are known as a useful tool in various applications of the gravitational theory, especially in cosmology. We describe some new aspects of these transformations, in particular using them for derivation of Einstein equations for the cosmological and Schwarzschild metrics. Furthermore, the conformal transformation is applied for the dimensional reduction of the Gauss-Bonnet topological invariant in $d=4$ to the spaces of lower dimensions.Comment: 17 pages, LaTeX. The paper is intended mainly for pedagogical purposes and represents a collection of exercises concerning local conformal transformations and dimensional reduction. To be published in "Gravitation and Cosmology

Qualitative analysis of a scalar-tensor theory with exponential potential

A qualitative analysis of a scalar-tensor cosmological model, with an exponential potential for the scalar field, is performed. The phase diagram for the flat case is constructed. It is shown that solutions with an initial and final inflationary behaviour appear. The conditions for which the scenario favored by supernova type Ia observations becomes an attractor in the space of the solutions are established.Comment: Latex file, 9 pages, 1 figur

Bilateral Breast Inflammatory Pseudotumor: A Clinical Report and Literature Review

Inflammatory pseudotumor (IP) is a benign lesion that can affect nearly any tissue in the body and which may be confused clinically and in imaging for malignancy. Despite the widespread performance of breast biopsy, the finding of inflammatory pseudotumor of the breast is exceedingly rare. Excision of the tumor is the treatment of choice, but there is a relatively high rate of recurrence. The aim of this report is to describe the clinical, imaging, and pathologic features in a case of bilateral breast IP