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arXiv · 1812.04934

A family of scalar-Einstein and vacuum Brans-Dicke axisymmetric solutions

Bertrand Chauvineau
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Abstract

A new method is proposed, that establishes a one to one correspondance between the whole set of static axially symmetric vacuum GR solutions and a specific class of stationary axially symmetric scalar-Einstein solutions having a given mass and a given angular momentum. The method explicitly takes advantage of the Kerr metric Ricci flatness. This also results in a class of stationary axially symmetric vacuum, ie Kerrlike, Brans-Dicke solutions. A particular solution, that is asymptotically flat, is more closely considered. It converges to Kerr for a vanishing scalar charge, but fails to converge to the Fisher-Janis-Newman-Winicour solution for a vanishing "rotation parameter". This solution exhibits a naked singularity having a ringlike structure.

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Bertrand Chauvineau. 2018-12-12. A family of scalar-Einstein and vacuum Brans-Dicke axisymmetric solutions. https://doi.org/10.1103/physrevd.100.024051

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