Axial symmetry and transverse trace-free tensors in numerical relativity

Transverse trace-free (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial symmetry, expressions are given in both spherical and cylindrical coordinates, for TT tensors in flat space. A coordinate relation is then calculated between the scalar potentials of each coordinate system. This is extended to a non-flat space, though only one potential is found. The remaining equations are reduced to form a second order partial differential equation in two of the tensor components. With the axially symmetric flat space tensors, the choice of potentials giving Bowen-York conformal curvatures, are derived. A restriction is found for the potentials which ensure an axially symmetric TT tensor, which is regular at the origin, and conditions on the potentials, which give an axially symmetric TT tensor with a spherically symmetric scalar product, are also derived. A comparison is made of the extrinsic curvatures of the exact Kerr solution and numerical Bowen-York solution for axially symmetric black hole space-times. The Brill wave, believed to act as the difference between the Kerr and Bowen-York space-times, is also studied, with an approximate numerical solution found for a mass-factor, under different amplitudes of the metric.

Cereal products for specific dietary requirements. Evaluation and improvement of technological and nutritional properties of gluten free raw materials and end products

Coeliac disease is one of the most common food intolerances worldwide and at present the gluten free diet remains the only suitable treatment. A market overview conducted as part of this thesis on nutritional and sensory quality of commercially available gluten free breads and pasta showed that improvements are necessary. Many products show strong off-flavors, poor mouthfeel and reduced shelf-life. Since the life-long avoidance of the cereal protein gluten means a major change to the diet, it is important to also consider the nutritional value of products intending to replace staple foods such as bread or pasta. This thesis addresses this issue by characterising available gluten free cereal and pseudocereal flours to facilitate a better raw material choice. It was observed that especially quinoa, buckwheat and teff are high in essential nutrients, such as protein, minerals and folate. In addition the potential of functional ingredients such as inulin, β-glucan, HPMC and xanthan to improve loaf quality were evaluated. Results show that these ingredients can increase loaf volume and reduce crumb hardness as well as rate of staling but that the effect diverges strongly depending on the bread formulation used. Furthermore, fresh egg pasta formulations based on teff and oat flour were developed. The resulting products were characterised regarding sensory and textural properties as well as in vitro digestibility. Scanning electron and confocal laser scanning microscopy was used throughout the thesis to visualise structural changes occurring during baking and pasta making

Career choice in medicine

Background: Career Choice in Medicine is an important and problematic topic. Medical education has been framed as professional identity development, yet career choice has not been viewed as a matter of identity. My primary aim was to offer new insights by exploring career choice using Figured Worlds theory, a socio-cultural theory of identity. Graduate retention is a challenge for many countries, including Ireland. My secondary aim was to address a gap in the data on postgraduate trainees in Ireland and to use the Irish case to illustrate points transferable to other contexts. Methodology & Methods: This was a predominantly qualitative Mixed Methods programme of research. My qualitative studies were oriented towards social constructionism. I collated existing data from the Royal College of Physicians of Ireland (RCPI) and HSE-MET to describe trainees and their career paths. I surveyed Basic Specialist Training trainees (n=333) about their career plans. I surveyed new trainees (n=527) about their expectations of training and all RCPI trainees about their experiences of training (n=1246). I conducted semi-structured interviews with 18 medical students and doctors. A subgroup (n=6) provided longitudinal data. Figured Worlds theory and Gee’s discourse tools were used for analysis. Results: I have used the case of medical training and career choice in Ireland to explain how social, political and cultural context, and day to day experiences in the cultural world of medicine, shaped doctors’ career choices. My qualitative findings described a unifying model of career choice, consisting of priming, exposure, positioning and open-endedness, which can guide the design of interventions to shape and support career choice. Conclusion: My original contribution has been to demonstrate the fruitfulness of framing career choice in terms of identity development. This represents a turn in the conversation about career choice, which brings new starting points and moves the dialogue forward.