On Junction Conditions in Gravity Theories with Higher Curvature Terms

Physics

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Motivated by recent developments in high energy physics [1,2,3,4] there is at present a considerable increase of activity in the domain of cosmology with extra dimensions. In these models gravity is assumed to act in a n-dimensional "bulk" while the standard model interactions are confined to a 4-dimensional slice ("brane" worldsheet) of this multi-dimensional spacetime. Randall and Sundrum have recently proposed two models in which all the matter is confined to a 4-dimensional brane worldsheet embedded in a 5-dimensional anti-de Sitter (AdS5) spacetime with imposed Z2 metric symmetry, w → -w (w denotes the fifth dimension and the metric is expressed in the Gaussian normal coordinates) [5]...

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