Three parameter metrics in the presence of a scalar field in four and higher dimensions

Abstract

We investigate a class of three parameter metrics that contain both the $\gamma$-metric and Janis-Newman-Winicour (JNW) metric at special values of the parameters. To see the effect of the scalar field we derive some properties of this class of metrics such as curvature invariants, the effective potential, and epicyclic frequencies. We also introduce the five and higher dimensional forms of the class of metrics in the presence of a scalar field.

arXiv comment12 pages, 9 figures

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• A class of Taub-NUT-scalar metrics via Ehlers transformations
• A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations
• Modelling the Sgr A${}^{\ast }$ and M87${}^{\ast }$ shadows by using the Kerr-Taub-NUT metrics in the presence of a scalar field
• Periodic orbits and their gravitational wave radiations in $\gamma$-metric
• A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
• Accelerating FJNW Metric
• Orbital Motion in Spacetimes Influenced by the Presence of Scalar and Electromagnetic Fields
• Dynamical axisymmetric compact objects in General Relativity
• A Generalized Class of Taub-NUT-Scalar Metrics