论文标题
圆柱引力波:辐射和共振
Cylindrical gravitational waves: radiation and resonance
论文作者
论文摘要
在弱场近似中,重力波被近似为线性波,忽略了非线性效应。在本文中,我们提出了圆柱重力波的确切一般解决方案。圆柱引力波的精确溶液与弱场近似大不相同。该解决方案意味着以下结论。 (1)在圆柱重力辐射中存在重力单极辐射。 (2)引力辐射可以在时空中产生共振。 (3)在平均时间平均后,重力源的非线性消失,因此长期测量的观察到的结果可能是线性的。
In the weak field approximation the gravitational wave is approximated as a linear wave, which ignores the nonlinear effect. In this paper, we present an exact general solution of the cylindrical gravitational wave. The exact solution of the cylindrical gravitational wave is far different from the weak field approximation. This solution implies the following conclusions. (1) There exist gravitational monopole radiations in the cylindrical gravitational radiation. (2) The gravitational radiation may generate the resonance in the spacetime. (3) The nonlinearity of the gravity source vanishes after time averaging, so the observed result of a long-time measurement may be linear.