Parity Horizons in Shape Dynamics

Abstract

I introduce the notion of a parity horizon, and show that many simple solutions of shape dynamics possess them. I show that the event horizons of the known asymptotically flat black hole solutions of shape dynamics are parity horizons and that this notion of parity implies that these horizons possess a notion of CPT invariance that can in some cases be extended to the solution as a whole. I present three new solutions of shape dynamics with parity horizons and find that not only event horizons become parity horizons in shape dynamics, but observer-dependent horizons and Cauchy horizons do as well. The fact that Cauchy horizons become (singular) parity horizons suggests a general chronology protection mechanism in shape dynamics that prevents the formation of closed time-like curves.

26 pages, 4 figures, some typos and formatting issues fixed

References in corpus (2)

• Einstein gravity as a 3D conformally invariant theory
• van Stockum--Bonnor Spacetimes of Rigidly Rotating Dust

Cited by in corpus (3)

• Gravitational collapse of thin shells of dust in asymptotically flat Shape Dynamics
• Local(ish) gravity theories in conformal superspace
• Bohmian Field Theory on a Shape Dynamics Background and Unruh Effect