Causality and black holes in spacetimes with a preferred foliation

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...

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Main Authors: Bhattacharyya, Jishnu, Colombo, Mattia, Sotiriou, Thomas P.
Format: Article
Published: IOP Publishing 2016
Subjects:
Online Access:https://eprints.nottingham.ac.uk/39759/
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author Bhattacharyya, Jishnu
Colombo, Mattia
Sotiriou, Thomas P.
author_facet Bhattacharyya, Jishnu
Colombo, Mattia
Sotiriou, Thomas P.
author_sort Bhattacharyya, Jishnu
building Nottingham Research Data Repository
collection Online Access
description 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.
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spelling nottingham-397592020-05-04T18:15:03Z https://eprints.nottingham.ac.uk/39759/ Causality and black holes in spacetimes with a preferred foliation Bhattacharyya, Jishnu Colombo, Mattia Sotiriou, Thomas P. 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. IOP Publishing 2016-10-28 Article PeerReviewed Bhattacharyya, Jishnu, 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 Modified gravity Lorentz violations Black holes Causality http://iopscience.iop.org/article/10.1088/0264-9381/33/23/235003/meta doi:10.1088/0264-9381/33/23/235003 doi:10.1088/0264-9381/33/23/235003
spellingShingle Modified gravity
Lorentz violations
Black holes
Causality
Bhattacharyya, Jishnu
Colombo, Mattia
Sotiriou, Thomas P.
Causality and black holes in spacetimes with a preferred foliation
title Causality and black holes in spacetimes with a preferred foliation
title_full Causality and black holes in spacetimes with a preferred foliation
title_fullStr Causality and black holes in spacetimes with a preferred foliation
title_full_unstemmed Causality and black holes in spacetimes with a preferred foliation
title_short Causality and black holes in spacetimes with a preferred foliation
title_sort causality and black holes in spacetimes with a preferred foliation
topic Modified gravity
Lorentz violations
Black holes
Causality
url https://eprints.nottingham.ac.uk/39759/
https://eprints.nottingham.ac.uk/39759/
https://eprints.nottingham.ac.uk/39759/