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arXiv · 2001.01351

Black hole with primary scalar hair in Einstein-Weyl-Maxwell-conformal scalar theory

De-Cheng Zou·Yun Soo Myung
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Abstract

We obtain a newly charged BBMB (Bocharova-Bronnikov-Melnikov-Bekenstein) black hole solution from the Einstein-Weyl-Maxwell-conformal (conformally coupled) scalar theory with a positive Weyl coupling parameter $m^2_2$ numerically. This solution has a primary scalar hair, compared to a secondary scalar hair in the charged BBMB black hole solution. The limiting case of $m_2^2\to\infty$ leads to the series form of the charged BBMB black hole solution. However, for $m^2_2<0$, we could not obtain any asymptotically flat black hole solution with scalar hair.

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De-Cheng Zou, Yun Soo Myung. 2020-01-06. Black hole with primary scalar hair in Einstein-Weyl-Maxwell-conformal scalar theory. https://doi.org/10.1103/physrevd.101.084021

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