Classification of 5-Dimensional Space-Time with Parallel 3-Branes

Abstract

If the fifth dimension is one-dimensional connected manifold, up to diffeomorphic, the only possible space-time will be M4 ×R1, M4 ×R/Z2, M4 × S1 and M4 ×S/Z2. And there exist two possibilities on cosmology constant: the cosmology constant is constant along the fifth dimension, and the cosmology constant is sectional constant along the fifth dimension. We… (More)

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