论文标题
缓慢旋转并加速$α'$ - 在四个及更高维度上校正的黑洞
Slowly rotating and the accelerating $α'$-corrected black holes in four and higher dimensions
论文作者
论文摘要
我们认为在$α'$上的弦理论的低能有效作用，包括$ r^2 $ - 纠正对爱因斯坦 - 希尔伯特重力作用和非平凡的dilaton耦合。通过方便的字段重新定义，我们设法在框架中表达了该理论，使我们能够以固定的球体对称ansatz的速度在$α'$中在$α'$中求解其字段方程，以任意数量的尺寸。我们获得的一组解决方案与渐近平坦的几何形状兼容，该几何形状表现出常规事件地平线，在该地平线上，Dilaton的行为良好。对于4维情况，我们还以$α'$和缓慢旋转的近似为一阶的固定黑洞配置。这将对Kerr几何形状进行修改，包括$ a $ a $，$ a^2 $，$α'$和$aα'$的术语。此外，我们获得了C-Metrics的第一个$α'$校正，该校正可容纳加速的黑洞。我们在弦框架中工作，并讨论与爱因斯坦框架的连接，文献中已经获得了旋转的黑洞。
We consider the low-energy effective action of string theory at order $α'$, including $R^2$-corrections to the Einstein-Hilbert gravitational action and non-trivial dilaton coupling. By means of a convenient field redefinition, we manage to express the theory in a frame that enables us to solve its field equations analytically and perturbatively in $α' $ for a static spherically symmetric ansatz in an arbitrary number of dimensions. The set of solutions we obtain is compatible with asymptotically flat geometries exhibiting a regular event horizon at which the dilaton is well-behaved. For the 4-dimensional case, we also derive the stationary black hole configuration at first order in $α'$ and in the slowly rotating approximation. This yields string theory modifications to the Kerr geometry, including terms of the form $a$, $a^2$, $α'$ and $aα'$. In addition, we obtain the first $α'$ correction to the C-metrics, which accommodates accelerating black holes. We work in the string frame and discuss the connection to the Einstein frame, for which rotating black holes have already been obtained in the literature.
