On interrelations between Sibgatullin's and Alekseev's approaches to the construction of exact solutions of the Einstein-Maxwell equations

The integral equations involved in Alekseev's "monodromy transform" technique are shown to be simple combinations of Sibgatullin's integral equations and normalizing conditions. An additional complex conjugation introduced by Alekseev in the integrands makes his scheme mathematically inconsistent; besides, in the electrovac case all Alekseev's principal value integrals contain an intrinsic error which has never been identified before. We also explain how operates a non-trivial double-step algorithm devised by Alekseev for rewriting, by purely algebraic manipulations and in a different (more complicated) parameter set, any particular specialization of the known analytically extended N-soliton electrovac solution obtained in 1995 with the aid of Sibgatullin's method.Comment: 7 pages, no figures, section II extende

Is there a prescribed parameter's space for the adiabatic geometric phase?

The Aharonov-Anandan and Berry phases are determined for the cyclic motions of a non-relativistic charged spinless particle evolving in the superposition of the fields produced by a Penning trap and a rotating magnetic field. Discussion about the selection of the parameter's space and the relationship between the Berry phase and the symmetry of the binding potential is given.Comment: 7 pages, 2 figure

Extracellular ferritin contributes to neuronal injury in an in vitro model of ischemic stroke

Previous clinical and experimental studies have shown that neurological decline and poor functional outcome after acute ischemic stroke in humans are associated with high ferritin levels in serum and cerebrospinal fluid (CSF) within 24 hours of ischemic stroke onset. The aim of the present study was to find out if and how high extracellular ferritin concentrations can increase the excitotoxicity effect in a neuronal cortical culture model of stroke. Extracellular ferritin (100 ng/ml) significantly increased the excitotoxic effect caused by excessive exogenous glutamate (50 µM and 100 µM) by leading to an increase in lipid peroxidation, a reduction in mitochondrial membrane potential and a decrease in neuron viability. Extracellular apoferritin (100 ng/ml), the iron-free form of the protein, does not increase the excitotoxicity of glutamate, which proves that iron was responsible for the neurotoxic effect of the exogenous ferritin. We present evidence that extracellular ferritin iron exacerbate the neurotoxic effect induced by glutamate excitotoxicity and that the effect of ferritin iron is dependent of glutamate excitotoxicity. Our results support the idea that body iron overload is involved in the severity of the brain damage caused by stroke and reveal the need to control systemic iron homeostasis

Charged Dual String Vacua from Interacting Rotating Black Holes Via Discrete and Nonlinear Symmetries

Using the stationary formulation of the toroidally compactified heterotic string theory in terms of a pair of matrix Ernst potentials we consider the four-dimensional truncation of this theory with no U(1) vector fields excited. Imposing one time-like Killing vector permits us to express the stationary effective action as a model in which gravity is coupled to a matrix Ernst potential which, under certain parametrization, allows us to interpret the matter sector of this theory as a double Ernst system. We generate a web of string vacua which are related to each other via a set of discrete symmetries of the effective action (some of them involve S-duality transformations and possess non-perturbative character). Some physical implications of these discrete symmetries are analyzed and we find that, in some particular cases, they relate rotating black holes coupled to a dilaton with no Kalb--Ramond field, static black holes with non-trivial dilaton and antisymmetric tensor fields, and rotating and static naked singularities. Further, by applying a nonlinear symmetry, namely, the so-called normalized Harrison transformation, on the seed field configurations corresponding to these neutral backgrounds, we recover the U(1)^n Abelian vector sector of the four-dimensional action of the heterotic string, charging in this way the double Ernst system which corresponds to each one of the neutral string vacua, i.e., the stationary and the static black holes and the naked singularities.Comment: 19 pages in latex, added referenc

Cosmological simulations using a static scalar-tensor theory

We present $\Lambda$CDM $N$-body cosmological simulations in the framework of a static general scalar-tensor theory of gravity. Due to the influence of the non-minimally coupled scalar field, the gravitational potential is modified by a Yukawa type term, yielding a new structure formation dynamics. We present some preliminary results and, in particular, we compute the density and velocity profiles of the most massive group.Comment: 4 pages, 6 figures, to appear in Journal of Physics: Conference Series: VII Mexican School on Gravitation and Mathematical Physics. 26 November to 1 December 2006, Playa del Carmen, Quintana Roo, Mexic

How can exact and approximate solutions of Einstein's field equations be compared?

The problem of comparison of the stationary axisymmetric vacuum solutions obtained within the framework of exact and approximate approaches for the description of the same general relativistic systems is considered. We suggest two ways of carrying out such comparison: (i) through the calculation of the Ernst complex potential associated with the approximate solution whose form on the symmetry axis is subsequently used for the identification of the exact solution possessing the same multipole structure, and (ii) the generation of approximate solutions from exact ones by expanding the latter in series of powers of a small parameter. The central result of our paper is the derivation of the correct approximate analogues of the double-Kerr solution possessing the physically meaningful equilibrium configurations. We also show that the interpretation of an approximate solution originally attributed to it on the basis of some general physical suppositions may not coincide with its true nature established with the aid of a more accurate technique.Comment: 32 pages, 5 figure

Colliding Axion-Dilaton Plane Waves from Black Holes

The colliding plane wave metric discovered by Ferrari and Iba\~{n}ez to be locally isometric to the interior of a Schwarzschild black hole is extended to the case of general axion-dilaton black holes. Because the transformation maps either black hole horizon to the focal plane of the colliding waves, this entire class of colliding plane wave spacetimes only suffers from the formation of spacetime singularities in the limits where the inner horizon itself is singular, which occur in the Schwarzschild and dilaton black hole limits. The supersymmetric limit corresponding to the extreme axion-dilaton black hole yields the Bertotti-Robinson metric with the axion and dilaton fields flowing to fixed constant values. The maximal analytic extension of this metric across the Cauchy horizon yields a spacetime in which two sandwich waves in a cylindrical universe collide to produce a semi-infinite chain of Reissner-Nordstrom-like wormholes. The focussing of particle and string geodesics in this spacetime is explored.Comment: 19 pages, 6 figure

Determinación de la condición de riesgo para el proceso de reinyección de recortes de perforación en pozos agotados en dos plataformas costa fuera en el suroeste de la Sonda de Campeche

Potential risks associated with the cuttings re-injection process as an alternative method for drilling wastes disposal were identi- fied and assessed in two offshore platforms located at the southwest of the Campeche Sonda in Mexico. Risks were evaluated using the HAZOP methodology, to identifying hazards in 11 nodes. In addition, deviations in the process were analyzed, and each risk analyzed was categorized as tolerable or non-tolerable and providing some recommendations. Consequences derived from accidental spills of slurry and/or cuttings were analyzed using the mathematical model YAXUM 3D to simulate the pollu- tants dispersion in seawater in three different climatic periods. The results of the consequences analysis shows that even the concentrations in the discharge point exceeded the recommended criteria for protection of the marine life and seawater quality, the spill is rapidly dispersed complying with permitted levels in 8 hr as a maximum.Los riesgos potenciales asociados al proceso de reinyección de recortes como un método alternativo para la disposición de los desechos de perforación fueron identificados y calculados en dos plataformas costa fuera situadas en el suroeste de la Sonda de Campeche en México. Los riesgos fueron evaluados usando la metodología Hazop, para identificar peligros en once nodos dentro del sistema de reinyección de recortes de perforación. Además, fueron analizadas las desviaciones en el proceso y cada riesgo analizado fue categorizado como tolerable o no-tolerable; asimismo, se propusieron algunas recomendaciones. Las consecuencias derivadas de derrames accidentales de lechada y/o recortes de perforación fueron analizados usando el modelo matemático YAXUM 3D para simular la dispersión de los agentes contaminantes en agua de mar en tres periodos climáticos. Los resultados del análisis de consecuencias demuestran que aun cuando las concentraciones en el punto de descarga excedieron los criterios recomendados para la protección de la vida de marina y de la calidad del agua de mar, el derrame es rápidamente dispersado cumpliendo con los niveles permitidos en ocho horas como máxim

Intermittent Hypobaric Hypoxic Preconditioning Provides Neuroprotection by Increasing Antioxidant Activity, Erythropoietin Expression and Preventing Apoptosis and Astrogliosis in the Brain of Adult Rats Exposed to Acute Severe Hypoxia

Background: Exposure to intermittent hypoxia has been demonstrated to be an efficienttool for hypoxic preconditioning, preventing damage to cells and demonstrating therapeutic benefits.We aimed to evaluate the effects of respiratory intermittent hypobaric hypoxia (IHH) to avoid braininjury caused by exposure to acute severe hypoxia (ASH). Methods: biomarkers of oxidative damage,mitochondrial apoptosis, and transcriptional factors in response to hypoxia were assessed by Westernblot and immunohistochemistry in brain tissue. Four groups of rats were used: (1) normoxic (NOR),(2) exposed to ASH (FiO27% for 6 h), (3) exposed to IHH for 3 h per day over 8 days at 460 mmHg,and (4) ASH preconditioned after IHH. Results: ASH animals underwent increased oxidative-stress-related parameters, an upregulation in apoptotic proteins and had astrocytes with phenotype formscompatible with severe diffuse reactive astrogliosis. These effects were attenuated and even preventedwhen the animals were preconditioned with IHH. These changes paralleled the inhibition of NF-κBexpression and the increase of erythropoietin (EPO) levels in the brain. Conclusions: IHH exertedneuroprotection against ASH-induced oxidative injury by preventing oxidative stress and inhibitingthe apoptotic cascade, which was associated with NF-κB downregulation and EPO upregulatio

Thin-shell wormholes with a generalized Chaplygin gas in Einstein-Born-Infeld theory

We construct spherically symmetric thin-shell wormholes supported by a generalized Chaplygin gas in Born-Infeld electrodynamics coupled to Einstein gravity, and we analyze their stability under radial perturbations. For different values of the Born-Infeld parameter and the charge, we compare the results with those obtained in a previous work for Maxwell electrodynamics. The stability region in the parameter space reduces and then disappears as the value of the Born-Infeld parameter is modified in the sense of a larger departure from Maxwell theory.Comment: 9 pages, 6 figures; v2: improved versio