General brane cosmologies and their global spacetime structure
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In this article, the most general brane-universe solutions for a three-brane in a five-dimensional spacetime were found, and the brane can border regions of spacetime with or without a cosmological constant.Abstract:
Starting from a completely general standpoint, we find the most general brane-Universe solutions for a three-brane in a five dimensional spacetime. The brane can border regions of spacetime with or without a cosmological constant. Making no assumptions other than the usual cosmological symmetries of the metric, we prove that the equations of motion form an integrable system, and find the exact solution. The cosmology is indeed a boundary of a (class II) Schwarzschild-AdS spacetime, or a Minkowski (class I) spacetime. We analyse the various cosmological trajectories focusing particularly on those bordering vacuum spacetimes. We find, not surprisingly, that not all cosmologies are compatible with an asymptotically flat spacetime branch. We comment on the role of the radion in this picture.read more
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References
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TL;DR: In this paper, the weak scale is generated from the Planck scale through an exponential hierarchy, but this exponential arises not from gauge interactions but from the background metric, which is a slice of spacetime.
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The Einstein equations on the 3-brane world
Tetsuya Shiromizu,Tetsuya Shiromizu,Keiichi Maeda,Keiichi Maeda,Misao Sasaki,Misao Sasaki,Misao Sasaki +6 more
TL;DR: In this paper, the authors consider the brane world with a negative tension and derive the effective gravitational equations, which reduce to the conventional Einstein equations in the low energy limit, in which all the matter forces except gravity are confined on the 3-brane in a 5-dimensional spacetime with ${Z}_{2}$ symmetry.