Sebastian de Haro et al 2001 Class. Quantum Grav. 18 3171 doi:10.1088/0264-9381/18/16/307
Sebastian de Haro1, Kostas Skenderis2 and Sergey N Solodukhin3
Show affiliationsWe study gravitational aspects of brane-world scenarios. We show that the bulk Einstein equations together with the junction condition imply that the induced metric on the brane satisfies the full nonlinear Einstein equations with a specific effective stress-energy tensor. This result holds for any value of the bulk cosmological constant. The analysis is done by either placing the brane close to infinity or by considering the local geometry near the brane. In the case that the bulk spacetime is asymptotically AdS, we show that the effective stress-energy tensor is equal to the sum of the stress-energy tensor of matter localized on the brane and of the holographic stress-energy tensor appearing in the AdS/CFT duality. In addition, there are specific higher-curvature corrections to Einstein's equations. We analyse in detail the case of asymptotically flat spacetime. We obtain asymptotic solutions of Einstein's equations and show that the effective Newton constant on the brane depends on the position of the brane.
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
81T40 Two-dimensional field theories, conformal field theories, etc.
83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)
Issue 16 (21 August 2001)
Received 5 March 2001
Published 1 August 2001
Sebastian de Haro et al 2001 Class. Quantum Grav. 18 3171
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