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arXiv 2212.13623gr-qchep-th
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运行引力耦合对三维黑洞的影响

The effects of running gravitational coupling on three dimensional black holes

Angel Rincon, Benjamin Koch, Cristobal Laporte, Felipe Canales, Norman Cruz

摘要:

在目前的工作中,我们研究了运行的引力耦合对三维BTZ黑洞性质的影响。我们以渐近安全引力理论中引力耦合的函数形式为出发点。利用标准标度设置关系式(其中$k\sim ξ/r^n$)计算了爱因斯坦场方程的解.我们得到并分析了这类新的黑洞解的视界和热力学性质。简要讨论了尺度相关参数$ξ$对宇宙学“常数”和度规函数的影响。我们发现,零能量条件也违反了在此设置时,尺度依赖的重力和牛顿的耦合(来自渐近安全的情况下的重力)同时考虑。

英文摘要:

In the present work, we investigate the consequences of running gravitational coupling on the properties of the three-dimensional BTZ black hole. We take as starting point the functional form of gravitational coupling obtained in the context of asymptotic safe gravity theory. By using the standard scale setting relation where $k\sim ξ/r^n$, we compute the solution of the Einstein field equations. We get and analyze the horizon and the thermodynamic properties of this new class of black hole solutions. The impact of the scale--dependent parameter $ξ$ on the cosmological "constant" and metric functions are briefly discussed. We find that the null energy condition is also violated in this setup when scale-dependent gravity and Newton's coupling (coming from the asymptotic safety scenario of gravity) are simultaneously taken into account.

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