Causality and black holes in spacetimes with a preferred foliation

Bhattacharyya, Jishnu and Colombo, Mattia and Sotiriou, Thomas P. (2016) Causality and black holes in spacetimes with a preferred foliation. Classical and Quantum Gravity, 33 (23). 235003/1-235003/45. ISSN 1361-6382

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Abstract

We develop a framework that facilitates the study of the causal structure of spacetimes with a causally preferred foliation. Such spacetimes may arise as solutions of Lorentz-violating theories, e.g. Hořava gravity. Our framework allows us to rigorously define concepts such as black/white holes and to formalize the notion of a ‘universal horizon’, that has been previously introduced in the simpler setting of static and spherically symmetric geometries. We also touch upon the issue of development and prove that universal horizons are Cauchy horizons when evolution depends on boundary data or asymptotic conditions. We establish a local characterisation of universal horizons in stationary configurations. Finally, under the additional assumption of axisymmetry, we examine under which conditions these horizons are cloaked by Killing horizons, which can act like usual event horizons for low-energy excitations.

Item Type: Article
Additional Information: This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/33/23/235003.
Keywords: Modified gravity, Lorentz violations, Black holes, Causality
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: https://doi.org/10.1088/0264-9381/33/23/235003
Depositing User: Eprints, Support
Date Deposited: 11 Jan 2017 10:47
Last Modified: 13 Jan 2017 01:33
URI: http://eprints.nottingham.ac.uk/id/eprint/39759

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