Brane-world Gravity in Normal Coordinates

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Einstein Field Equations, Cosmology, Quantum Field Theory, Mathematical Operators, Singularities And Cosmic Censorship, String And Brane Phenomenology, Field Theories In Dimensions Other Than Four, Operational Calculus

Scientific paper

We study a system of two branes in Normal Coordinates and derive the effective gravitational equations. The 4-dimensional generalized Einstein equations obtained are a generalization of the work of Shiromizu, Maeda and Sasaki [1] of a single brane system. We extend our work to the generalized n -dimensional case and then derive the cosmological equations which reduce to the classical Friedmann equations for the no-radion case of one brane.

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