Causal hierarchy in modified gravity
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Publication:2660217
DOI10.1007/JHEP12(2020)055zbMATH Open1457.83044arXiv2005.08533OpenAlexW3111420978MaRDI QIDQ2660217
Author name not available (Why is that?)
Publication date: 29 March 2021
Published in: (Search for Journal in Brave)
Abstract: We investigate the causal hierarchy in various modified theories of gravity. In general relativity the standard causal hierarchy, (key elements of which are chronology, causality, strong causality, stable causality, and global hyperbolicity), is well-established. In modified theories of gravity there is typically considerable extra structure, (such as: multiple metrics, aether fields, modified dispersion relations, Horava-like gravity, parabolic propagation, etcetera), requiring a reassessment and rephrasing of the usual causal hierarchy. We shall show that in this extended framework suitable causal hierarchies can indeed be established, and discuss the implications for the interplay between "superluminal" propagation and causality. The key distinguishing feature is whether the signal velocity is finite or infinite. Preserving even minimal notions of causality in the presence of infinite signal velocity requires the aether field to be both unique and hypersurface orthogonal, leading us to introduce the notion of global parabolicity.
Full work available at URL: https://arxiv.org/abs/2005.08533
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