论文标题
爱因斯坦中的新型宇宙学和黑洞溶液以及二维的高衍生重力
Novel cosmological and black hole solutions in Einstein and higher-derivative gravity in two dimensions
论文作者
论文摘要
我们考虑爱因斯坦中的宇宙学和黑洞溶液，以及在$ d $尺寸首先制定理论的两个维度中的高衍生性重力。在限制的情况下，$ d $倾向于$ 2 $，同时将标量曲率耦合常数为$ 1/（d-2）$的单数重新缩放，我们得到了新颖的爱因斯坦和更高衍生的重力。由于标量曲率的非平凡贡献，在二维极限中与重力方程完全不变，因此尤其是一个新颖的宇宙和黑洞解决方案。
We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular rescaling of the scalar curvature coupling constant as $1/(D-2)$, we get the novel Einstein and higher-derivative gravity. Due to non-trivial contribution of scalar curvature which is topological invariant in exactly two dimensions to gravitational equations in the two-dimensional limit one gets novel cosmological and black hole solutions.In particular, the de Sitter and radiation-dominated universe and the Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter black hole solutions are obtained and their properties are discussed.
