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arXiv 2004.04773gr-qcastro-ph.GAhep-phhep-th
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Einstein-complex-scalar-Gauss-Bonnet引力中的非静态规则黑洞

No static regular black holes in Einstein-complex-scalar-Gauss-Bonnet gravity

Kai Lin, Shaojun Zhang, Chao Zhang, Xiang Zhao, Bin Wang, Anzhong Wang

摘要:

在这篇简短的报告中,我们研究了在Einstein-complex-scalar-Gauss-Bonnet(EcsGB)引力中四维静态球对称黑洞(BH)的存在性,该黑洞具有任意势$V(ϕ)$和标量场$ϕ$与Gauss-Bonnet(GB)项之间的耦合$f(ϕ)$。我们发现,静态规则BH解决方案与复杂的标量头发不存在。这个结论不依赖于GB项和标量场之间的耦合,也不依赖于标量势$V(ϕ)$和宇宙学常数$Λ$(可以是正的也可以是负的)的存在,只要标量场在视界上保持复杂且规则。

英文摘要:

In this brief report, we investigate the existence of 4-dimensional static spherically symmetric black holes (BHs) in the Einstein-complex-scalar-Gauss-Bonnet (EcsGB) gravity with an arbitrary potential $V(ϕ)$ and a coupling $f(ϕ)$ between the scalar field $ϕ$ and the Gauss-Bonnet (GB) term. We find that static regular BH solutions with complex scalar hairs do not exist. This conclusion does not depend on the coupling between the GB term and the scalar field, nor on the scalar potential $V(ϕ)$ and the presence of a cosmological constant $Λ$ (which can be either positive or negative), as longer as the scalar field remains complex and is regular across the horizon.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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