Exact String Solutions in Nontrivial Backgrounds

We show how the classical string dynamics in $D$-dimensional gravity background can be reduced to the dynamics of a massless particle constrained on a certain surface whenever there exists at least one Killing vector for the background metric. We obtain a number of sufficient conditions, which ensure the existence of exact solutions to the equations of motion and constraints. These results are extended to include the Kalb-Ramond background. The $D1$-brane dynamics is also analyzed and exact solutions are found. Finally, we illustrate our considerations with several examples in different dimensions. All this also applies to the tensionless strings.Comment: 22 pages, LaTeX, no figures; V2:Comments and references added; V3:Discussion on the properties of the obtained solutions extended, a reference and acknowledgment added; V4:The references renumbered, to appear in Phys Rev.

Natural History of Acute Subdural Hematoma

Although guidelines for surgical decision-making in patients with acute subdural hematomas (ASDHs) are widely available, the evidence supporting these guidelines is weak, and management of these patients must often be individualized. Smaller ASDHs in patients in good neurologic condition usually can be successfully managed without surgery. Large ASDHs with minimal mass effect in patients with minimal symptoms also may be considered for nonoperative management. The literature is divided about the effects of anticoagulant and antiplatelet medications on rapid growth of ASDHs and on their likelihood of progression to large chronic subdural hematomas, but it is reasonable to reverse the effects of these medications promptly. Close clinical and radiologic follow-up is needed in these patients, both acutely to detect rapid expansion of an ASDH, and subacutely to detect formation of a large subacute or chronic subdural hematoma

Quasinormal frequencies of asymptotically flat two-dimensional black holes

We discuss whether the minimally coupled massless Klein-Gordon and Dirac fields have well defined quasinormal modes in single horizon, asymptotically flat two-dimensional black holes. To get the result we solve the equations of motion in the massless limit and we also calculate the effective potentials of Schrodinger type equations. Furthermore we calculate exactly the quasinormal frequencies of the Dirac field propagating in the two-dimensional uncharged Witten black hole. We compare our results on its quasinormal frequencies with other already published.Comment: 12 pages. Accepted for publication in Gen. Rel. and Gra

Effects of regulation on a self-organized market

Adapting a simple biological model, we study the effects of control on the market. Companies are depicted as sites on a lattice and labelled by a fitness parameter (some `company-size' indicator). The chance of survival of a company on the market at any given time is related to its fitness, its position on the lattice and on some particular external influence, which may be considered to represent regulation from governments or central banks. The latter is rendered as a penalty for companies which show a very fast betterment in fitness space. As a result, we find that the introduction of regulation on the market contributes to lower the average fitness of companies.Comment: 7 pages, 2 figure