A class of rotating metrics in the presence of a scalar field

Abstract

We consider a class of three parameter static and axially symmetric metrics that reduce to the Janis-Newman-Winicour (JNW) and $\gamma$-metrics in certain limits of the parameters. We obtain rotating form of the metrics that are asymptotically flat, stationary and axisymmetric. In certain values of the parameters, the solutions represent the rotating JNW metric, rotating $\gamma$-metric and Bogush-Gal'tsov (BG) metric. The singularities of rotating metrics are investigated. Using the light-ring method, we obtain the quasi normal modes (QNMs) related to rotating metrics in the eikonal limit. Finally, we investigate the precession frequency of a test gyroscope in the presence of the rotating metrics.

References in corpus (7)

• Quasi-Normal Modes and Gravitational Wave Astronomy
• Black hole mimicker hiding in the shadow: Optical properties of the $\gamma$-metric
• Gravitational lensing by wormholes
• Effects of gravitational lensing on neutrino oscillation in $\gamma$-spacetime
• Newman-Janis algorithm's application to regular black hole models
• Three parameter metrics in the presence of a scalar field in four and higher dimensions
• Constraining deviations from spherical symmetry using $\gamma$-metric

Cited by in corpus (8)

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• Accelerating FJNW Metric
• A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
• Orbital Motion in Spacetimes Influenced by the Presence of Scalar and Electromagnetic Fields
• A Generalized Class of Taub-NUT-Scalar Metrics