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arXiv 2307.00554hep-thgr-qc
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AdS二次曲率引力中的渐近黑洞与共形质量

Asymptotic Black Holes and Conformal Mass in AdS Quadratic Curvature Gravity

Olivera Miskovic, Rodrigo Olea, Eleftherios Papantonopoulos, Yoel Parra-Cisterna

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38 pages, no figures; in v2, one reference added
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AI总结：

本研究在AdS渐近的二次曲率引力中，通过外蕴抵消项构造有限作用量，分析静态解衰减得到与外尔张量电部分成正比的守恒荷，为共形质量推广到高曲率引力提供基础，并发现QCG临界条件阻碍荷线性化，与Lovelock引力结果不同。

摘要：

我们探究了具有反德西特（anti-de Sitter，AdS）渐近行为的二次曲率引力（Quadratic Curvature Gravity, QCG）中守恒荷在外尔张量线性阶的一致截断。QCG作用量由爱因斯坦引力的最一般曲率平方修正项构成，并通过添加外蕴抵消项（Kounterterms）适当地使其有限。由此作用量导出的守恒荷在时空黎曼张量中是非线性的。对一般静态解的衰减行为的详细分析表明，守恒荷与外尔张量的电部分成正比，且不会损失系统能量的信息。所采用的步骤为将共形质量（Conformal Mass）概念推广到高曲率引力提供了更坚实的基础，因为它表现为与重整化作用量相关联。我们观察到，QCG中的临界条件对荷的线性化构成了阻碍，这与洛夫洛克（Lovelock）引力中简并条件起关键作用的先前结果形成对比。

英文摘要：

We explore the consistent truncation of conserved charges in Quadratic Curvature Gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections to Einstein gravity, and it is suitably rendered finite by the addition of extrinsic counterterms (Kounterterms). The conserved charges derived from this action are, as a consequence, nonlinear in the spacetime Riemann tensor. A detailed analysis of the falloff of generic static solutions leads to a charge proportional to the electric part of the Weyl tensor, without loss of information on the energy of the system. The procedure followed provides firmer ground to the extension of the notion of Conformal Mass to higher-curvature gravity, as it appears as associated to a renormalized action. We observe that criticality condition in QCG poses an obstruction to the charge linearization, in contrast to previous results in Lovelock gravity, where degeneracy condition plays a key role.

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