Abstract:
Singularity theorems suggest that under certain conditions, gravitational collapse inevitably
leads to a singularity formation. Weak cosmic censorship conjecture proposed by R. Penrose
states that singularity is always enclosed within event horizon. Various studies have shown
that the gravitational collapse of inhomogeneous matter clouds leads to naked singularity
formation. Establishing criteria to distinguish naked singularities and black holes is vital
for understanding their physical characteristics. This thesis comprehensively reviews the
existing literature and distinguishes between Kerr black holes and naked singularities using
spin precession frequency. We also found the constraints on the parameters of the Kerr
black hole which were shown to be consistent with the prior studies. Further, we investigate
the spin precession frequency of a test gyroscope attached to a stationary observer in a
rotating naked singularity spacetime. In the asymptotic limit, Lense-Thirring precession for
rotating naked singularity and geodetic precession for null naked singularity are found to be
equal to that of a Kerr black hole and a Schwarzschild black hole respectively. In addition,
we can distinguish rotating naked singularity and Kerr naked singularity for an observer
in the equatorial plane using spin precession. To this end, we have found the constraints
on the parameters of rotating naked singularity by employing Monte Carlo Markov Chain
simulation and using the observation from five quasi-periodic sources within the relativistic
precession model. Our analysis shows that the measurement of spin parameter estimate for
GRO J1655-40 is in disagreement with the value found from the continuum-fitting method,
while for XTEJ1859+226 and GRS 1915+105, it is inconsistent with spectral analysis results.
