Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model

We discuss the non-linear gravitational interactions in the Randall-Sundrum single brane model. If we naively write down the 4-dimensional effective action integrating over the fifth dimension with the aid of the decomposition with respect to eigen modes of 4-dimensional d'Alembertian, the Kaluza-Klein mode coupling seems to be ill-defined. We carefully analyze second order perturbations of the gravitational field induced on the 3-brane under the assumption of the static and axial-symmetric 5-dimensional metric. It is shown that there remains no pathological feature in the Kaluza-Klein mode coupling after the summation over all different mass modes. Furthermore, the leading Kaluza-Klein corrections are shown to be sufficiently suppressed in comparison with the leading order term which is obtained by the zero mode truncation. We confirm that the 4-dimensional Einstein gravity is approximately recovered on the 3-brane up to second order perturbations.Comment: 15 pages, 2 figures, comment and reference added, typos correcte

Introduction

In the modern world intercultural communication is increasing rapidly, as people and their messages become more mobile. Asia is one of the areas where this increase is particularly evident, as its nations and peoples are becoming richer and more mobile than before. Effective communication between languages and cultures, whether between homeland languages or using an international language like English, requires enhanced levels of linguistic competence and intercultural understanding. There has been a corresponding surge of activity in pure and applied research into intercultural communication in Asia. One aspect of this work has involved English, especially American English, as a vehicle of communication. And even where studies of intercultural communication have involved Asian languages, the dominant frameworks from the literature have been Western in terms of theory and methodology, and in the parameters of intercultural communication, such as the "individualism similar to collectivism" dichotomy/continuum which were proposed by scholars like Hofstede (1984).This book explores the challenges now facing intercultural communication in relation to cultural boundaries, to ideology and values, and for institutions and individuals in an internationalising environment, especially educationally. Its eleven chapters address models, values and communication, English as a lingua franca, three key focal areas (city landscape, pain and humour), and identity