arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.6581hep-thgr-qc
收藏

爱因斯坦标量引力中的黑膜解及其孤子极值

Black brane solutions and their solitonic extremal limit in Einstein-scalar gravity

Mariano Cadoni, Salvatore Mignemi, Matteo Serra

摘要:

我们研究静态,平面,解决方案的爱因斯坦标量引力承认一个反德西特(AdS)真空。当标量场的质量平方为正时,标量势可由超势导出,最小能量定理表明标量孤子的存在。另一方面,对于这些模型,无毛定理禁止存在有毛的黑膜解AdS渐近。通过考虑一个具体的例子(一个精确的可积模型,具有Toda分子的形式),并通过推导明确的精确解,我们表明,这些模型允许毛黑膜解与非AdS域壁渐近,其极值极限是一个标量孤子。孤子平滑地插入在$r=\infty$处的非AdS畴壁解和$r=0$附近的AdS解之间。

英文摘要:

We investigate static, planar, solutions of Einstein-scalar gravity admitting an anti-de Sitter (AdS) vacuum. When the squared mass of the scalar field is positive and the scalar potential can be derived from a superpotential, minimum energy theorems indicate the existence of a scalar soliton. On the other hand, for these models, no-hair theorems forbid the existence of hairy black brane solutions with AdS asymptotics. By considering a specific example (an exact integrable model which has the form of a Toda molecule) and by deriving explicit exact solution, we show that these models allow for hairy black brane solutions with non-AdS domain wall asymptotics, whose extremal limit is a scalar soliton. The soliton smoothly interpolates between a non-AdS domain wall solution at $r=\infty$ and an AdS solution near $r=0$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑