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Exact Black-Hole Solution With Self-Interacting Scalar Field

Olaf Bechmann·Olaf Lechtenfeld
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Abstract

Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair. The symmetric interaction potential has both signs and a triple-well shape with a smooth but non-analytic minimum at vanishing field. We present numerical data as well as double series expansions around spatial infinity.

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Olaf Bechmann, Olaf Lechtenfeld. 1995-02-22. Exact Black-Hole Solution With Self-Interacting Scalar Field. https://doi.org/10.1088/0264-9381%2F12%2F6%2F013

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