In this paper we derive the leading quantum gravitational corrections to the geodesics and the equations of motion for a scalar field in the spacetime containing a constant density star. It is shown that these corrections can be calculated in quantum gravity reliably and in a model independent way. Furthermore, we find that quantum gravity gives rise to an additional redshift that results from the gradient instead of the amplitude of the density profile.

中文翻译：

---

量子校正的内部和外部Schwarzschild时空运动方程

在本文中，我们导出了对包含恒密度恒星的时空中标量场的短程线和运动方程的领先量子引力校正。结果表明，这些校正可以可靠地以量子引力和独立于模型的方式进行计算。此外，我们发现量子引力引起了附加的红移，该红移是由梯度而不是密度分布的幅度引起的。