Spin precession in a black hole and naked singularity spacetimes

Abstract

We propose here a specific criterion to address the existence or otherwise of Kerr naked singularities, in terms of the precession of the spin of a test gyroscope due to the frame dragging by the central spinning body. We show that there is indeed an important characteristic difference in the behavior of gyro spin precession frequency in the limit of approach to these compact objects, and this can be used, in principle, to differentiate the naked singularity from black hole. Specifically, if gyroscopes are fixed all along the polar axis upto the horizon of a Kerr black hole, the precession frequency becomes arbitrarily high, blowing up as the event horizon is approached. On the other hand, in the case of naked singularity, this frequency remains always finite and well-behaved. Interestingly, this behavior is intimately related to and is governed by the geometry of the ergoregion in each of these cases which we analyze here. One intriguing behavior that emerges is, in the Kerr naked singularity case, the Lense-Thirring precession frequency (${\Omega }_{\mathrm{LT}}$) of the gyroscope due to frame-dragging effect decreases as (${\Omega }_{\mathrm{LT}}\propto r$) after reaching a maximum, in the limit of $r=0$, as opposed to $r^{-3}$ dependence in all other known astrophysical cases.

LaTex; 6 pages including 9 figures, matches published version

References in corpus (7)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Destroying a near-extremal Kerr-Newman black hole
• Overspinning a Kerr black hole: the effect of self-force
• Instability of hyper-compact Kerr-like objects
• Gravitational instabilities in Kerr space-times
• How small can an over-spinning body be in general relativity?

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