We prove the existence of general relativistic perfect fluid black hole solutions, and demonstrate the phenomenon for the P=wρ class of equations of state. While admitting a local timelike 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.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 27 Nov 2012|