Radiating black hole solutions in arbitrary dimensions

We prove a theorem that characterizes a large family of non-static solutions to Einstein equations in $N$-dimensional space-time, representing, in general, spherically symmetric Type II fluid. It is shown that the best known Vaidya-based (radiating) black hole solutions to Einstein equations, in both four dimensions (4D) and higher dimensions (HD), are particular cases from this family. The spherically symmetric static black hole solutions for Type I fluid can also be retrieved. A brief discussion on the energy conditions, singularities and horizons is provided.Comment: RevTeX 9 pages, no figure

Chronic pulmonary effects of respirable methylene diphenyl diisocyanate (MDI) aerosol in rats: Combination of findings from two bioassays

Two independent bioassays are available which have examined the potential carcinogenicity of monomeric and polymeric methylene diphenyl diisocyanate (MDI) following long-term inhalation exposure in rats. These studies are not directly comparable, however, due to differences in design and conduct of the in-life phase, and differences in nomenclature used for some of the histopathological findings. This paper presents a definitive overview ofthe pulmonary toxicity of MDI developed following a thorough review of both investigations. As part of this process, the test materials and the designs of the studies were compared, and an in-depth review of lung lesions was conducted by an independent reviewing pathologist. This included the re-examination of the original lung slides, supported by an analysis of the exposure regimens, the results of which were used to develop an accurate profile of the doses received by the animals in the two studies. Histopathological findings were then combined with this information to give an overall dose-response curve for both studies as a whole. The range of total inhalation exposures to MDI was calculated as 559, 1972, 2881, 6001, 17,575 and 17,728 mgh/m3. Major pulmonary effects included increased lung weights together with bronchiolo-alveolar adenomas and hyperplasia, and interstitial fibrosis which occurred consistently in both studies, indicating a very similar qualitative response of the lungs to polymeric and monomeric MDI. The quantitative response of the lung was clearly dose-related in each study, and when the studies were considered as a whole a reasonable overall dose-response relationship was apparent for major lung lesions. Lung tumours (in low incidences) only occurred at the highest dose level in both studies (17,575 and 17,728 mgh/m3). For inflammatory and other non-neoplastic pulmonary changes, the lowest dose examined (559 mgh/m3) was regarded as a no-observed-adverse-effect-level for both polymeric and monomeric MDI. It was concluded that the results of the two studies could be combined to serve as a basis for human risk assessment of MDI

Radiating Kerr–Newman black hole in f(R) gravity

We derive an exact radiating Kerr-Newman like black hole solution, with constant curvature $R=R_0$ imposed, to {\it metric} $f(R)$ gravity via complex transformations suggested by Newman-Janis. This generates a geometry which is precisely that of radiating Kerr-Newman-de Sitter / anti-de Sitter with the $f(R)$ gravity contributing an $R_0$ cosmological-like term. The structure of three horizon-like surfaces, {\it viz.} timelike limit surface, apparent horizon and event horizon, are determined. We demonstrate the existence of an additional cosmological horizon, in $f(R)$ gravity model, apart from the regular black hole horizons that exist in the analogous general relativity case. In particular, the known stationary Kerr-Newman black hole solutions of $f(R)$ gravity and general relativity are retrieved. We find that the timelike limit surface becomes less prolate with $R_0$ thereby affecting the shape of the corresponding ergosphere.Comment: 11 pages, 6 figures, new text and reference adde

A case study of one high performance baseball coach’s experiences within a learning community

The purpose of the present study was to examine the learning experiences of a high performance, head baseball coach within a learning community. We drew upon the barriers and enablers of a learning community to structure the current study\u27s learning community intervention. Our learning community was comprised of one collegiate summer league head baseball coach and three coach educators (i.e. facilitators). Data were collected via eight weekly learning community meetings (i.e. recorded and transcribed), the coach’s daily journal and post-learning community meeting journal, and the memory of his coaching experiences. The findings, which suggest a potential framework for sustaining an effective learning community, resulted in six themes (i.e. problem setting, problem sharing, questioning to prompt reflection, prescribed suggestions, collaborative solutions and psychological wellness) that describe the coach’s experiences both internal and external to the learning community. The findings are discussed in relation to research on learning communities, experiential learning and reflection. Furthermore, we provide implications for future research by considering the learning community’s influence on the head coach’s reduction of stress and the utilisation of technology to sustain a stable learning community setting