论文标题

在爱因斯坦 - 加斯 - 邦网理论中,黑弦的相位和稳定性在很大

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

论文作者

Suzuki, Ryotaku, Tomizawa, Shinya

论文摘要

爱因斯坦 - 加斯 - 邦纳特(EGB)理论中黑弦的相位和稳定性通过使用大型有效理论方法研究。时空度量和热力学在1/d膨胀中得出至次铅阶(NLO)。我们发现由Iyer-Wald公式定义的熵电流遵循第二定律。与爱因斯坦理论一样,与总质量的熵差异为有效理论产生熵功能。包括NLO校正,我们发现,对于大型高斯耦合,常数$α_ {\ rm Gb} $,均匀黑色弦的Gregory-laflamme不稳定需要更长的波长。此外,我们表明,随着$α_ {\ rm gb} $的增加,临界维度比统一的黑色弦变得更稳定,并且增加了$α_ {\ rm gb gb} \ to to \ suftty $的有限值。

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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