Distinguishing a rotating Kiselev black hole from a naked singularity using the spin precession of a test gyroscope

摘要

We study the critical values of the quintessential and spin parameters, to distinguish a rotating Kiselev black hole from a naked singularity. For any value of the dimensionless quintessential parameter ω_q ∈ e-1; -1=3T, when increasing the value of the quintessential parameter α, the size of the event horizon increases, whereas the size of the outer horizon decreases. We then study the spin precession of a test gyroscope attached to a stationary observer in this spacetime. Using the spin precessions we differentiate black holes from naked singularities. If the precession frequency becomes larger as an observer approaches the central object in the quintessential field along any direction, then the spacetime is a black hole. A spacetime will contain a naked singularity if the precession frequency remains finite everywhere except at the singularity itself. Finally, we study the Lense-Thirring precession frequency for a rotating Kiselev black hole and the geodetic precession for a Kiselev black hole.