Quasilocal approach to general universal horizons

Abstract

Theories of gravity with a preferred foliation usually display arbitrarily fast signal propagation, changing the black hole definition. A new inescapable barrier, the universal horizon, has been defined and many static and spherically symmetric examples have been studied in the literature. Here, we translate the usual definition of the universal horizon in terms of an optical scalar built with the preferred flow defined by the preferred spacetime foliation. The new expression has the advantages of being of quasilocal nature and independent of specific spacetime symmetries in order to be well defined. Therefore, we propose it as a definition for general quasilocal universal horizons. Using the new formalism we show that there are no universal analog of cosmological horizons for FLRW models for any scale factor function, and we also state that quasilocal universal horizons are restricted to trapped regions of the spacetime. Using the evolution equation, we analyze the formation of universal horizons under a truncated Horava-Lifshitz theory, in spherical symmetry, showing the existence of regions in parameter space where the universal horizon formation cannot be smooth from the center, under some physically reasonable assumptions. We conclude with our view on the next steps for the understanding of black holes in nonrelativistic gravity theories.

10 pages, no figures. Corrections made. New analysis of gravitational collapse in truncated HL theory. It matches version to appear in PRD

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Cited by in corpus (11)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• Geodesically complete black holes in Lorentz-violating gravity
• New perspectives on the TOV equilibrium from a dual null approach
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• FLRW Cosmology with Horava-Lifshitz Gravity: Impacts of Equations of State
• Charged cosmological black holes: a thorough study of a family of solutions
• Gravitational plane waves in Einstein-aether theory
• Smarr Integral Formula of D-dimensional Stationary Spacetimes in Einstein-Æther-Maxwell Theroy
• Revisiting the Birkhoff theorem from a dual null point of view
• Self-gravitating fluid solutions of Shape Dynamics
• Universal Horizons without Hypersurface Orthogonality