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arXiv · 1508.06704

Parity Horizons in Shape Dynamics

Gabriel Herczeg
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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.

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Gabriel Herczeg. 2017-02-17. Parity Horizons in Shape Dynamics. https://doi.org/10.1088/0264-9381%2F33%2F22%2F225002

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