Light propagation in statistically homogeneous and isotropic universes with general matter content

We derive the relationship of the redshift and the angular diameter distance to the average expansion rate for universes which are statistically homogeneous and isotropic and where the distribution evolves slowly, but which have otherwise arbitrary geometry and matter content. The relevant average expansion rate is selected by the observable redshift and the assumed symmetry properties of the spacetime. We show why light deflection and shear remain small. We write down the evolution equations for the average expansion rate and discuss the validity of the dust approximation.Comment: 42 pages, no figures. v2: Corrected one detail about the angular diameter distance and two typos. No change in result

Astronomical Distance Determination in the Space Age: Secondary Distance Indicators

The formal division of the distance indicators into primary and secondary leads to difficulties in description of methods which can actually be used in two ways: with, and without the support of the other methods for scaling. Thus instead of concentrating on the scaling requirement we concentrate on all methods of distance determination to extragalactic sources which are designated, at least formally, to use for individual sources. Among those, the Supernovae Ia is clearly the leader due to its enormous success in determination of the expansion rate of the Universe. However, new methods are rapidly developing, and there is also a progress in more traditional methods. We give a general overview of the methods but we mostly concentrate on the most recent developments in each field, and future expectations. © 2018, The Author(s)

My Career Chapter: Guidance Counsellors' Appraisal of its Suitability for Adolescents

This paper presents an investigation into the properties of a new narrative technique for career assessment and counselling, My Career Chapter: A Dialogical Autobiography. This technique is used to facilitate clients' construction of a meaningful career-related autobiography. Previous research indicates the usefulness of My Career Chapter for adult clients and its alignment with recommendations for the development and application of qualitative assessment and counselling techniques. This study specifically commences research into the technique's applicability for adolescents. A focus group, comprised of guidance counselling professionals whose work primarily pertained to the needs of adolescents, found that there is potential to develop a version of My Career Chapter that is suitable for adolescents