Causality and black holes in spacetimes with a preferred foliation

Bhattacharyya, Jishnu; Colombo, Mattia; Sotiriou, Thomas P.

Abstract

© 2016 IOP Publishing Ltd. 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. Horava 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.

Citation

Bhattacharyya, J., Colombo, M., & Sotiriou, T. P. (2016). Causality and black holes in spacetimes with a preferred foliation. Classical and Quantum Gravity, 33(23), Article 235003. https://doi.org/10.1088/0264-9381/33/23/235003

• Journal Article Type: Article
• Acceptance Date: Oct 7, 2016
• Online Publication Date: Oct 28, 2016
• Publication Date: Oct 28, 2016
• Deposit Date: Jan 11, 2017
• Publicly Available Date: Oct 29, 2017
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 23
• Article Number: 235003
• DOI: https://doi.org/10.1088/0264-9381/33/23/235003
• Keywords: Modified gravity, Lorentz violations, Black holes, Causality
• Public URL: https://nottingham-repository.worktribe.com/output/821097
• Publisher URL: http://iopscience.iop.org/article/10.1088/0264-9381/33/23/235003/meta
• Contract Date: Jan 11, 2017