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

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arxiv 2307.09328 v2 pith:UUQ6WXMI submitted 2023-07-18 gr-qc hep-th

Alireza Azizallahi , Behrouz Mirza , Arash Hajibarat , Homayon Anjomshoa This is my paper · ORCID
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keywords metricsclassfieldscalarhighermetricparameterpresence
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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.

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Cited by 1 Pith paper

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  1. A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations

    gr-qc 2025-01 reject novelty 4.0 of 10

    A proposed new family of charged Taub-NUT spacetimes with a theta-dependent scalar field, built via Harrison and Ehlers transformations, but the exact-solution claim is unsupported and internally inconsistent.

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