Can an evolving Universe host a static event horizon?

preprint2012arXivOpen access

Abstract

We prove the existence of general relativistic perfect fluid black hole solutions, and demonstrate the phenomenon for the P=wρP=wρ class of equations of state. While admitting a local time-like Killing vector on the event horizon itself, the various black hole configurations are necessarily time dependent (thereby avoiding a well known no-go theorem) away from the horizon. Consistently, Hawking's imaginary time periodicity is globally manifest on the entire spacetime manifold.

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