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arXiv 1004.2164hep-thgr-qc
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爱因斯坦-高斯-博内黑弦

Einstein-Gauss-Bonnet black strings

Y. Brihaye, T. Delsate, E. Radu

摘要:

我们构造了5 ~ 10维$d$在Einstein-Gauss-Bonnet引力中的一致黑弦解,并讨论了它们的基本性质.封闭形式的解决方案,发现作为一个纯粹的爱因斯坦引力的扰动高斯-邦纳项。非微扰解构造数值求解方程的模型。利用线性化微扰理论研究了黑弦的Gregory-Laflamme不稳定性。我们的研究结果表明,新的定性功能发生$d=6$,在这种情况下,稳定的配置存在足够大的值的高斯-邦纳耦合常数。对于其他维度,黑弦是动态不稳定的,并且也有负比热。我们认为,这提供了一个明确的实现的Gubser-Mitra猜想,其中链接本地动力学和热力学稳定性。爱因斯坦-高斯-邦纳理论中的非均匀黑弦也是在六维时空中构造的。

英文摘要:

We construct uniform black-string solutions in Einstein-Gauss-Bonnet gravity for all dimensions $d$ between five and ten and discuss their basic properties. Closed form solutions are found by taking the Gauss-Bonnet term as a perturbation from pure Einstein gravity. Nonperturbative solutions are constructed by solving numerically the equations of the model. The Gregory-Laflamme instability of the black strings is explored via linearized perturbation theory. Our results indicate that new qualitative features occur for $d=6$, in which case stable configurations exist for large enough values of the Gauss-Bonnet coupling constant. For other dimensions, the black strings are dynamically unstable and have also a negative specific heat. We argue that this provides an explicit realization of the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. Nonuniform black strings in Einstein-Gauss-Bonnet theory are also constructed in six spacetime dimensions.

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