General Solution for the Static, Spherical and Asymptotically Flat Braneworld

Abstract

The general solution for the static, spherical and asymptotically flat braneworld is derived by solving the bulk Einstein equation and braneworld dynamics. We show that it involves a large arbitrariness, which reduces the predictability of the theory. Ways out of the difficulty are discussed.

5 pages, no figure, submitted to the Japanese Physical Society 2011 Annual Meeting which was canceled due to the earthquake in Tohoku district in March, with errors corrected, and with the sign convention of the curvature tensor changed

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