arXiv 2408.014762024-08-02gr-qchep-th

耦合标量场的 Gauss-Bonnet 理论中采用等度规 ansatz 的带电解

Charged solution with equal metric ansatz in Gauss-Bonnet theory coupled to scalar field

G. G. L. Nashed

备注：: 18 pages, 4 figures
发表信息：: Phys.Dark Univ. 41 (2023) 101260

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AI总结：

本文在耦合标量场的 Gauss-Bonnet 理论中，利用 $g_{tt}=g_{rr}$ 的等度规假设推导新型球对称带电黑洞解，分析其附加项、多视界结构及修正热力学定律。

摘要：

在本研究过程中，我们采用 Gauss-Bonnet 运动方程以及标量场和势，以获得一种新的球对称带电黑洞解。具体而言，我们通过使用各分量相等的度规势，即 $g_{tt}=g_{rr}$，来推导该黑洞解。在研究中，我们取得了若干成果，包括确定标量场以及 Gauss-Bonnet 项的特征。我们全面考察了与此类黑洞相关的物理性质，并表明与 Reissner-Nordström 黑洞解相比，我们的解包含附加项。这些附加项的阶为 $O(\ rac{1}{r^6})$ 和 $O(\ rac{1}{r^9})$。这些附加项的存在可归因于记为 $ξ$ 的标量函数的影响。此类表达式在产生多视界黑洞解方面发挥关键作用。这些额外项的存在有助于推导修正后的热力学第一定律及相应的 Smarr 关系。

英文摘要：

In the course of this research, we employ the Gauss-Bonnet equation of motion alongside the scalar field and potential to acquire a fresh solution for a spherically symmetrical charged black hole. Specifically, we derive this black hole solution by employing a metric potential where the components are equal, that is, $g_{tt}=g_{rr}$. In our research, we achieve several accomplishments, including fixing the characteristics of the scalar field, and the Gauss-Bonnet term. We thoroughly examine the physical properties associated with such black hole and show that we have supplementary terms when compared to the Reissner-Nordström black hole solution. These additional terms are of the order $O(\frac{1}{r^6})$ and $O(\frac{1}{r^9})$. The presence of these supplementary terms can be attributed to the impact of the scalar function denoted as $ξ$. Such expressions play a crucial role in generating the multi-horizon black hole solution. The presence of these extra terms facilitates the derivation of a modified first law of thermodynamics and the corresponding Smarr relation.

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