Searching for a modification of a conformally flat metric in the five-dimensional braneworld model that localizes scalar and vector fields

Abstract

A modification of the Randall-Sundrum metric model in the form of conformally flat metric was proposed some years ago. The proposed model shows better localization properties than the original Randall-Sundrum model. However, this new model still does not meet the expectation that all fundamental fields can be localized for one type of warp factor, e.g. for a decreasing warp factor. In this research we propose to add a factor f(r) in the extra coordinate part of the above modified Randall-Sundrum metric and derive conditions for localization for scalar and vector fields. r is the extra coordinate. We then look for some functions f(r) that fulfill the localization conditions for both scalar and vector fields. Examples of the function f(r) under investigation are e Ar, e −Ar−Br 2 , e −A/r , Ar, Ar + Br 2, and sinh(Ar). We found the expected function, that is e Ar , which might be used as a further discussion in fields localization.