Can an evolving Universe host a static event horizon?

Abstract

We prove the existence of general relativistic perfect fluid black hole solutions, and demonstrate the phenomenon for the $P=w\rho$ 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.

10 PRD pages, no figures; v.2: few typos corrected

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Cited by in corpus (5)

• Searching for dynamical black holes in various theories of gravity
• Black hole event horizons are cosmologically coupled
• D-bound and Bekenstein bound for McVittie solution surrounded by dark energy cosmological fields
• Black Hole solutions in a cosmological spacetime background
• The Atmosphere of a Black Hole