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ES1 - Exact Solutions in Four and Higher Dimensions: Mathematical Aspects

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Thorsrud, Mikjel

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Shear-Free Cosmological Solutions And Their Stability

Abstract

We examine a peculiar corner of Bianchi models in which the conformal expansion is intact. Exact general relativistic shear-free solutions with p-form gauge fields are systematically derived and classified according to energy conditions. A self-similar solution in Bianchi type III is identified and shown to be stable with respect to arbitrary homogeneous perturbations. Partly based on Class. Quantum Grav. 35 (2018) 095011 [arXiv:1712.02778].

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