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Spontaneous holographic scalarization of black holes in Einstein-scalar-Gauss-Bonnet theories

机译:爱因斯坦 - 标量-Gauss-knnet理论中黑洞的自发全息标定

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We holographically investigate the scalarization in the Einstein-scalar-Gauss-Bonnet gravity with a negative cosmological constant. We find that instability exists for both Schwarzschild-AdS (anti–de Sitter) and Reissner-Nordstr?m-AdS black holes with planar horizons when we have proper interactions between the scalar field and the Gauss-Bonnet curvature corrections. We relate such instability to possible holographic scalarization and construct the corresponding hairy black hole solutions in the presence of the cosmological constant. Employing the holographic principle, we expect that such bulk scalarization corresponds to the boundary description of the scalar hair condensation without breaking any symmetry, and we calculate the related holographic entanglement entropy of the system. Moreover, we compare the mechanisms of the holographic scalarizations caused by the effect of the coupling of the scalar field to the Gauss-Bonnet term and holographic superconductor effect in the presence of an electromagnetic field, and unveil their differences in the effective mass of the scalar field, the temperature-dependent property, and the optical conductivity.
机译:我们用负宇宙常数地查询到爱因斯坦标量 - 高声 - 高声引擎的标量化。我们发现,当我们在标量场和高斯阀型曲率校正之间具有适当的相互作用时,Schwarzschild-ADS(Anti-de Sitter)和Reissner-Nordstr?M-ADS黑洞存在不稳定。我们将这种不稳定性涉及到可能的全息标准化,并在宇宙常数存在下构建相应的毛茸茸的黑洞解决方案。采用全息原理,我们预计这种批量标准化对应于标量凝结的边界描述而不破坏任何对称性,并且我们计算系统的相关全息缠结熵熵。此外,我们比较全息标量化的机制由标量场耦合到电磁场存在下的高斯发动机型术语和全息性超导效果引起的,并揭示其在标量的有效质量差异的差异场,温度依赖性和光导率。

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