Causality and black holes in spacetimes with a preferred foliation. (28th October 2016)

• Record Type: Journal Article
• Authors: Bhattacharyya, Jishnu; Colombo, Mattia; Sotiriou, Thomas P
• Is Part Of: Classical and quantum gravity. Volume 33:Number 23(2016:Dec.)
• Publication Date: 2016-10-28
• Subjects: modified gravity -- Lorentz violations -- black holes -- causality; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/23/235003
• Languages: English
• ISSNs: 0264-9381

Abstract

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.