Universal horizons in maximally symmetric spaces

摘要

Universal horizons in Horava-Lifshitz gravity and Einstein-aether theory are the equivalent of causal horizons in general relativity and appear to have many of the same properties, including a first law of horizon thermodynamics and thermal radiation. Since universal horizons are infrared (IR) solutions of a putative power counting renormalizable quantum gravitational theory, fully understanding their thermodynamics will shed light on the interplay between black hole thermodynamics and quantum gravity. In this paper, we provide a complete classification, including asymptotic charges, of all four-dimensional static and spherically symmetric universal horizon solutions with maximally symmetric asymptotics - the equivalents of the Schwarzschild, Schwarzschild-de Sitter or Schwarzschild-anti-de Sitter spacetimes. Additionally, we derive the associated first laws for the universal horizon solutions. Finally, we prove that independent of asymptotic boundary conditions, any spherically symmetric solution in Horava-Lifshitz gravity with a universal horizon is also a solution of Einstein-aether theory, thereby broadening and complementing the known equivalence region of the solution spaces.