Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations

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Hauptverfasser: Zahra, Tehreem, Jamil, Mubasher, Azreg-Aïnou, Mustapha
Format: Preprint
Veröffentlicht: 2025
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author Zahra, Tehreem
Jamil, Mubasher
Azreg-Aïnou, Mustapha
author_facet Zahra, Tehreem
Jamil, Mubasher
Azreg-Aïnou, Mustapha
contents Various studies show that the gravitational collapse of inhomogeneous matter clouds leads to naked singularity formation. We investigate here the spin precession frequency of a test gyroscope attached to a stationary observer in a rotating naked singularity spacetime. In the weak field limit, Lense-Thirring precession for rotating naked singularity and geodetic precession in the asymptotic limit 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 a rotating naked singularity and a 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 the 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06443
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations
Zahra, Tehreem
Jamil, Mubasher
Azreg-Aïnou, Mustapha
General Relativity and Quantum Cosmology
Various studies show that the gravitational collapse of inhomogeneous matter clouds leads to naked singularity formation. We investigate here the spin precession frequency of a test gyroscope attached to a stationary observer in a rotating naked singularity spacetime. In the weak field limit, Lense-Thirring precession for rotating naked singularity and geodetic precession in the asymptotic limit 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 a rotating naked singularity and a 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 the 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.
title Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.06443