Three parameter metrics in the presence of a scalar field in four and higher dimensions
Alireza Azizallahi, Behrouz Mirza, Arash Hajibarat, Homayon Anjomshoa
Abstract
We investigate a class of three parameter metrics that contain both the γ-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.
Topics & Concepts
Metric (unit)Scalar fieldCurvatureScalar (mathematics)Scalar curvatureMathematicsClass (philosophy)Field (mathematics)Scalar multiplicationPure mathematicsMathematical analysisTheoretical physicsPhysicsMathematical physicsGeometryComputer scienceArtificial intelligenceEngineeringOperations managementAdvanced Differential Geometry ResearchCosmology and Gravitation TheoriesBlack Holes and Theoretical Physics