定态势能函数隐含位移对称性：Quintessence /k-Essence无键吸积
Stationary Configurations Imply Shift Symmetry: No Bondi Accretion for Quintessence / k-Essence
摘要：
在本文中，我们表明，一般的标量场，静态配置是可能的移位对称理论。这种关于场空间中常数平移的对称性，要么在原始场变量中表现出来，要么在适当的场重新定义后显露出来。特别是这个结果意味着，无论是k-本质或精髓可以有确切的稳态/邦迪吸积到黑洞。我们还讨论了在k-本质理论领域的重新定义的作用。本文研究了k-本质中观测量和其他变量的变换性质，并着重讨论了它们中哪些变量在场重定义下是协变的。最后，我们发现，定态场的配置必然是线性的Killing时间，提供的移位对称性实现这些领域的变量。
英文摘要：
In this paper we show that, for general scalar fields, stationary configurations are possible for shift symmetric theories only. This symmetry with respect to constant translations in field space should either be manifest in the original field variables or reveal itself after an appropriate field redefinition. In particular this result implies that neither k-Essence nor Quintessence can have exact steady state / Bondi accretion onto Black Holes. We also discuss the role of field redefinitions in k-Essence theories. Here we study the transformation properties of observables and other variables in k-Essence and emphasize which of them are covariant under field redefinitions. Finally we find that stationary field configurations are necessarily linear in Killing time, provided that shift symmetry is realized in terms of these field variables.
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