Erratum: Distinguishing a rotating Kiselev black hole from a naked singularity using the spin precession of a test gyroscope [Phys. Rev. D 98 , 024015 (2018)]

Bending of light in a universe filled with quintessential dark energy

“…It should be noted that in derivation of expressions (46) and (47), we have used a non-perfect Chaplygin gas with anisotropic pressures given by (16). As it is shown in section 2, this is resulted directly from our assumption g tt g rr = −1.…”

“…Using Janis-Newman algoritm, the Kiselve metric is generalized to kerr [14] and to Kerr-Newmann-Ads [15] black holes. Also, the authors of [16] study the critical values of quintessential and spin parameters, to distinguish a rotating Kiselev black hole from a naked singularity. Other works in this topic can be founded in papers [17,18].…”

On the possibility of wormhole formation in the galactic halo due to dark matter Bose–Einstein condensates

“…To measure geodetic precession effects that are due to curvature and Lense-Thirring due to frame dragging of the earth NASA have launch the Gravity Probe B (GP-B) in 2004 [50,51]. Recently, the precession frequency effects of Kerr black hole [52] and Kerr-like black holes in dark energy and dark matter have been discussed in the literature [53,54]. The precession frequency effects in a rotating traversable wormhole also have been studied in the literature [55].…”

Gyroscope precession frequency analysis of a five dimensional charged rotating Kaluza-Klein black hole

“…Here we have set ρ 2 ≡ √ H 1 H 2 and H 4 ≡ B 3 H 3 where B 3 is defined in (8). Next, we introduce the dimensionless parameters (b, c) such that p ≡ bm and q ≡ cm, and other dimensionless parameters defined by ǫ 2 ≡ Q 2 /M 2 , µ 2 ≡ P 2 /M 2 , α ≡ a/M and x ≡ r/M.…”

“…It still does not discard the possibility of the existence of visible singularities since these are valid predictions of Einstein theory of General Relativity. In order to distinguish an astrophysical black hole from a naked singularity, few important schemes are proposed: the phenomenon of gravitational lensing and formation of shadow images [4]; detection of hard X and gamma rays from the inner regions of accretion disks surrounding compact objects [5]; investigation of gravitational waves emitted form compact objects [6]; and the spin precession frequency of a stationary test gyroscope being frame dragged in the ergo-region of the spinning black hole [7][8][9][10][11]. However from the theoretical perspective, only a theory of quantum gravity can ultimately explain the process of complete gravitational collapse.…”