2,455 research outputs found

    Expansion-Free Cavity Evolution: Some exact Analytical Models

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    We consider spherically symmetric distributions of anisotropic fluids with a central vacuum cavity, evolving under the condition of vanishing expansion scalar. Some analytical solutions are found satisfying Darmois junction conditions on both delimiting boundary surfaces, while some others require the presence of thin shells on either (or both) boundary surfaces. The solutions here obtained model the evolution of the vacuum cavity and the surrounding fluid distribution, emerging after a central explosion. This study complements a previously published work where modeling of the evolution of such kind of systems was achieved through a different kinematical condition.Comment: 9 pages, Revtex. Typos corrected. Published in Int. J. Mod. Phys.

    Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions

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    An infinite family of new exact solutions of the Einstein vacuum equations for static and axially symmetric spacetimes is presented. All the metric functions of the solutions are explicitly computed and the obtained expressions are simply written in terms of oblate spheroidal coordinates. Furthermore, the solutions are asymptotically flat and regular everywhere, as it is shown by computing all the curvature scalars. These solutions describe an infinite family of thin dust disks with a central inner edge, whose energy densities are everywhere positive and well behaved, in such a way that their energy-momentum tensor are in fully agreement with all the energy conditions. Now, although the disks are of infinite extension, all of them have finite mass. The superposition of the first member of this family with a Schwarzschild black hole was presented previously [G. A. Gonz\'alez and A. C. Guti\'errez-Pi\~neres, arXiv: 0811.3002v1 (2008)], whereas that in a subsequent paper a detailed analysis of the corresponding superposition for the full family will be presented.Comment: 9 pages, 3 figure

    Fractura de Maisonneuve abierta: una entidad infrecuente: a propósito de un caso y revisión de la literatura

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    Introducción. La fractura de Maisonneuve representa aproximadamente el 5% de todas las fracturas de tobillo tratadas quirúrgicamente. Debido a que suelen ser fracturas cerradas, presentamos el caso de una fractura de Maisonneuve abierta por su infrecuencia. Caso Clínico. Varón de 63 años que acudió a urgencias tras traumatismo de miembro inferior derecho. En la exploración se evidenció una solución de continuidad de la piel en cara medial de tobillo con exposición de maléolo tibial. La radiografía mostró una apertura de la mortaja tibio-peronea y una fractura espiroidea en el tercio proximal del peroné. Se realizó osteosíntesis con dos tornillos canulados. Tras 12 meses de seguimiento, el paciente presenta una puntuación media de 86,8 puntos en la escala AOFAS. Conclusión. Ante una luxación abierta de tobillo, debe sospecharse una fractura de Maisonneuve aunque sea poco frecuente, siendo la osteosíntesis una opción terapéutica eficaz en este tipo de fracturas.Introduction. Maisonneuve fracture represents approximately 5% of all surgically treated ankle fractures. Because these fractures are usually closed, we present the case of a Maisonneuve open fracture owing to its rarity. Case report. A 63-year-old man presented to his emergency department after a right leg trauma. Physical examination revealed a skin solution of continuity above the ankle joint, with a medial tibial malleolus exposure. The radiography showed an opening of the tibiofibular mortise and a spiral fracture of the proximal third of the fibula. Fixation with two cannulated screws was performed. After 12 months of follow up, the patient has an average score of 86.8 points on the AOFAS scale. Conclusion. In the face of an open ankle dislocation, a Maisonneuve open fracture should be suspected in spite of its infrequency, being the osteosynthesis an effective therapeutic option in this type of fracture
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