论文标题
宇宙学奇异性和二维Dilaton重力
Cosmological singularities and 2-dimensional dilaton gravity
论文作者
论文摘要
我们研究二维Dilaton-Gravity-Scalar理论中的大爆炸或认可宇宙学奇异性，通常是通过较高维度理论的维度降低而获得的。 DILATON潜力编码有关定义理论的渐近数据的信息，并涵盖了各种家庭，例如flat flat Space，$ ADS $，合成$ ADS $，是由非统治麸皮和更一般的非派生理论引起的。我们发现一种独立于Dilaton电位的一种普遍的近乎奇点行为，从而在定义宇宙奇异性附近的时间行为的指数之间提供了普遍的相互关系。使用缩放ANSATZ进行更详细的分析，可以找到各种类别的宇宙学背景，恢复已知的示例，例如$ ADS $ KASNER SINGULITITY，以及新发现的示例。从这个角度来看，我们对双重字段理论发表了一些评论。
We study Big-Bang or -Crunch cosmological singularities in 2-dimensional dilaton-gravity-scalar theories, in general obtained by dimensional reduction of higher dimensional theories. The dilaton potential encodes information about the asymptotic data defining the theories, and encompasses various families such as flat space, $AdS$, conformally $AdS$ as arising from nonconformal branes, and more general nonrelativistic theories. We find a kind of universal near singularity behaviour independent of the dilaton potential, giving universal interrelations between the exponents defining the time behaviour near the cosmological singularity. More detailed analysis using a scaling ansatz enables finding various classes of cosmological backgrounds, recovering known examples such as the $AdS$ Kasner singularity as well finding as new ones. We give some comments on the dual field theory from this point of view.
