arXiv 2212.048092022-12hep-thgr-qc

大D下Einstein-Gauss-Bonnet理论中黑弦的相位和稳定性

Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D

Ryotaku Suzuki, Shinya Tomizawa

备注：: 27 pages, 2 figures; v2: minor revisions, fixed a typo in the action, references added; v3: fixed minor typos, published version
DOI：: 10.1007/JHEP02(2023)101

摘要：

利用大D有效理论方法研究了EGB理论中黑弦的相位和稳定性。时空度规和热力学推导到下一个领先的顺序（NLO）在1/D展开。我们发现由Iyer-Wald公式定义的熵流遵循第二定律。在爱因斯坦理论中，总质量的熵差产生了有效理论的熵泛函。在考虑非线性光学修正的情况下，我们发现当高斯-博内耦合常数$α_{\rm GB}$较大时，均匀黑弦的Gregory-Laflamme不稳定性需要更长的波长。此外，我们表明，临界尺寸，超过这一点，非uiform黑弦变得比均匀的更稳定，增加$α_{\rm GB}$变得大，并接近一个有限的值为$α_{\rm GB}\to \infty$。

英文摘要：

The phase and stability of black strings in the Einstein-Gauss-Bonnet (EGB) theory are investigated by using the large D effective theory approach. The spacetime metric and thermodynamics are derived up to the next-to-leading order (NLO) in the 1/D expansion. We find that the entropy current defined by the Iyer-Wald formula follows the second law. As in the Einstein theory, the entropy difference from the total mass produces an entropy functional for the effective theory. Including the NLO correction, we find that for the large Gauss-Bonnet coupling constant $α_{\rm GB}$, the Gregory-Laflamme instability of uniform black strings needs longer wavelength. Moreover, we show that the critical dimension, beyond which non-uiform black strings becomes more stable than uniform ones, increases as $α_{\rm GB}$ becomes large, and approaches to a finite value for $α_{\rm GB}\to \infty$.

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英文摘要：

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