Distinguishing Black Hole and Naked Singularity in MOG via Inertial Frame Dragging Effect

Abstract

We analyze the generalized spin precession of a test gyroscope around a stationary spacetime i.e. for Kerr-MOG black hole~(BH) in scalar-tensor-vector gravity or modified gravity~(MOG). A detailed study of generalized spin frequency has been done for \emph{non} extremal Kerr-MOG BH, \emph{extremal} Kerr-MOG BH and \emph{naked singularity~(NS)} in comparison to non-extremal BH, extremal BH, and NS of Kerr spacetime. The generalized spin frequency that {we have} computed could be expressed in terms of {the} BH mass parameter, the angular momentum parameter, and the MOG parameter. Moreover, we differentiate the non-extremal BH, extremal BH, and NS via computation of the said precession frequency. The Lense-Thirring~(LT) frequency {can} obtain from generalized spin frequency by taking the limit as $\Omega =0$ i. e. {when the} angular frequency is set to zero limit. Furthermore, we compute the LT frequency for various {values of} angular coordinates i.e. starting from polar to {the} equatorial plane. We show that the LT frequency diverges at the horizon for extremal BH. Finally, we study the accretion disk physics by computing three epicyclic frequencies namely the Keplerian frequency, {the} radial epicyclic frequency and {the} vertical epicyclic frequency. We also compute the periastron frequency and nodal frequency. With the aid of these frequency profiles, {one} can distinguish three compact objects i. e. \emph{non-extremal BH, extremal BH} {and} \emph{NS}.

44 pages

References in corpus (10)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Black Holes in Modified Gravity (MOG)
• Modified Gravity Black Holes and their Observable Shadows
• Incidences between points and lines on a two-dimensional variety
• Orbital and epicyclic frequencies around rapidly rotating compact stars in scalar-tensor theories of gravity
• Gyroscope precession along bound equatorial plane orbits around a Kerr black hole
• Disclosing connections between black holes and naked singularities: Horizon remnants, Killing throats and bottlenecks
• Gravitomagnetic effect in magnetized neutron stars
• Naked singularity, firewall, and Hawking radiation
• Distinguishing Signature of Kerr-MOG Black Hole and Superspinar via Lense-Thirring Precession