Extend Bekenstein’s theorem to Einstein–Maxwell-scalar theories with a scalar potential
Jianhui Qiu1; Changjun Gao1
Source PublicationThe European Physical Journal C
AbstractThe Bekenstein’s theorem allows us to generate an Einstein-conformal scalar solution from a single Einstein-ordinary scalar solution. In this article, we extend this theorem to the Einstein–Maxwell-scalar (EMS) theory with a non-minimal coupling between the scalar and Maxwell field when a scalar potential is also included. As applications of this extended theorem, the well-known static dilaton solution and rotating solution with a specific coupling between dilaton and Maxwell field are considered, and new conformal dilaton black hole solutions are found. The Noether charges, such as mass, electric charge, and angular momentum, are compared between the old and new black hole solutions connected by conformal transformations, and they are found conformally invariant. We speculate that the theorem may be useful in the computations of metric perturbations and spontaneous scalarization of black holes in the Einstein–Maxwell-conformal-scalar theory since they can be mapped to the corresponding EMS theories, which have been investigated in detail.
Document Type期刊论文
First Author AffilicationNational Astronomical Observatories, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Jianhui Qiu,Changjun Gao. Extend Bekenstein’s theorem to Einstein–Maxwell-scalar theories with a scalar potential[J]. The European Physical Journal C,82(7).
APA Jianhui Qiu,&Changjun Gao.
MLA Jianhui Qiu,et al."Extend Bekenstein’s theorem to Einstein–Maxwell-scalar theories with a scalar potential".The European Physical Journal C 82.7
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