Instanton Cosmology and Domain Walls from M-theory and String Theory

Abstract

The recent proposal by Hawking and Turok for obtaining an open inflationary universe from singular instantons makes use of low-energy effective Lagrangians describing gravity coupled to scalars and non-propagating antisymmetric tensors. In this paper we derive some exact results for Lagrangians of this type, obtained from spherical compactifications of M-theory and string theory. In the case of the S^7 compactification of M-theory, we give a detailed discussion of the cosmological solutions. We also show that the lower-dimensional Lagrangians admit domain-wall solutions, which preserve one half of the supersymmetry, and which approach AdS spacetimes near their horizons.

51 pages, Latex (3 times). Discussion and references added

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• Exact Embeddings of JT Gravity in Strings and M-theory
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• A supersymmetric Type IIB Randall-Sundrum realization
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• Consistent reductions from D=11 beyond Sasaki-Einstein
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• Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes
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• Inconsistency of Breathing Mode Extensions of Maximal Five-Dimensional Supergravity Embedding
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