Charged analogue of Finch-Skea stars

We present solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes with a specified form of the electric field intensity. The condition of pressure isotropy yields three category of solutions. The first category is expressible in terms of elementary functions and does not have an uncharged limit. The second category is given in terms of Bessel functions of half-integer order. These charged solutions satisfy a barotropic equation of state and contain Finch-Skea uncharged stars. The third category is obtained in terms of modified Bessel functions of half-integer order and does not have an uncharged limit. The physical features of the charged analogue of the Finch-Skea stars are studied in detail. In particular the condition of causality is satisfied and the speed of sound does not exceed the speed of light. The physical analysis indicates that this analogue is a realistic model for static charged relativistic perfect fluid spheres.Comment: 17 pages, To appear in Int. J. Mod. Phys.

Resource Allocation in Heterogeneous Buffered Cognitive Radio Networks

Resources available for operation in cognitive radio networks (CRN) are generally limited, making it imperative for efficient resource allocation (RA) models to be designed for them. However, in most RA designs, a significant limiting factor to the RA’s productivity has hitherto been mostly ignored, the fact that different users or user categories do have different delay tolerance profiles. To address this, in this paper, an appropriate RA model for heterogeneous CRN with delay considerations is developed and analysed. In the model, the demands of users are first categorised and then, based on the distances of users from the controlling secondary user base station and with the assumption that the users are mobile, the user demands are placed in different queues having different service capacities and the resulting network is analysed using queueing theory. Furthermore, to achieve optimality in the RA process, an important concept is introduced whereby some demands from one queue are moved to another queue where they have a better chance of enhanced service, thereby giving rise to the possibility of an improvement in the overall performance of the network. The performance results obtained from the analysis, particularly the blocking probability and network throughput, show that the queueing model incorporated into the RA process can help in achieving optimality for the heterogeneous CRN with buffered data

A new algorithm for anisotropic solutions

We establish a new algorithm that generates a new solution to the Einstein field equations, with an anisotropic matter distribution, from a seed isotropic solution. The new solution is expressed in terms of integrals of an isotropic gravitational potential; and the integration can be completed exactly for particular isotropic seed metrics. A good feature of our approach is that the anisotropic solutions necessarily have an isotropic limit. We find two examples of anisotropic solutions which generalise the isothermal sphere and the Schwarzschild interior sphere. Both examples are expressed in closed form involving elementary functions only.Comment: 16 pages, to appear in Pramana - J. Phy

How do South African obstetricians manage hypertensive disorders of pregnancy - a survey

Objective. To determine the current management of hypertensive disorders of pregnancy in South Africa.Method. A postal questionnaire was sent to 600 South African obstetricians.Results. The response rate was 72% (432/600), with 425 questionnaires suitable for analysis. South African obstetricians disagree on the definitions of various hypertensive disorders of pregnancy. Methyldopa was the antihypertensive used most frequently for the treatment of mild to moderate hypertension (diastolic blood pressure between 90 and 109 mmHg), while intravenous dihydralazine was preferred in severe hypertension (diastolic blood pressure ;0, 110 rnrnHg and proteinuria ≥, ++). To stop convulsions in eclampsia, 256 respondents (60%) said they would use diazepam, 28 (11%) said tlIey woUld continue with a diazepam infusion, and the remairling 228 (89%) preferred magnesium sulphate (MgS04) to prevent further convulsions. The intramuscular route was the preferred method of administration for MgS04. In cases of eclampsia, 273 respondents (64%) said they would use intravenous dihydralazine to lower high blood pressure (≥, 160/110 rnrnHg) and proteinuria; 98 respondents (23%) said they would use met.'1yldopa, 38 (9%) nifedipine, and 8 (2%) apresoline. Eight (2%) said they would not use antihypertensives. In patients with severe pre-eclampsia and impending eclampsia, 330 respondents (78%) said they would"use MgS04 as prophylaxis, 46 (11%) diazepam, and 6 (1.4%) phenobarbitone. Forty-three of the respondents did not prescribe prophylactic anticonvulsant therapy. To prevent pre-eclampsia, 247 of the respondents (58%) said they would prescribe Iow-dose aspirin.Conclusion. This study demonstrates that South African obstetricians show great uniformity in terms of the treatment of hypertensive disorders of pregnancy