高阶引力理论及其在星系旋转曲线中应用的可能性

The Higher-order Gravitational Theory and Its Application in the Rotation Curve of Galaxy

介绍了建立高阶引力理论（该理论用以修正爱因斯坦广义相对论）的物理背景，并讨论了暗物质问题．对几种主要高阶引力理论及其解作了评述，并尝试在不必假定暗物质存在的情况下，用高阶引力理论解决有关星系旋转曲线的困难．但令人遗憾的是，至今还没有一个理论取得完全的成功．指出了解决这一问题面临的困难，并建议寻找新的高阶引力理论．

In this paper, the physical background of establishing the higher order gravitational theory for correcting Einstein's general relativityt especially for the dark matter problem, is discussed. The main higher-order gravitational theoies and their solutions are reviewed. Some attempts of resolving the difficulty on the rotation curve of galaxy without the dark matter in the light of higher-order gravitational theory have been made. But up to now, none of them is successful. We point out the difficulty in solving the problem and the necessity of a new kind of higher-order gravitational theory.