一种标——张量引力理论的引力波辐射

本文通过一种单位变换导出了文献4]提出的标—张量引力理论方案的另一种表述形式,由此得到的引力场张量方程和守恒律完全类似广义相对论的Einstein方程和守恒律;变换后的标量场视为“物质场”,在张量方程中起着一种“引力源”的作用。应用变换后的理论表述研究引力辐射问题,其结果是引力场的总辐射强度为引力张量场和引力标量场的辐射强度之和。求出了引力张量场和引力标量场的辐射强度公式,详细地讨论了双星的引力波辐射。

RADIATION OF GRAVITATIONAL WAVES IN A SCALAR-TENSOR THEORY OF GRAVITATION

In this paper ,the second representation of the scalar-tensor theory of gravitation suggested in the literature M is derived by a transformation of units. The tensor-field equations of gravitation and the conservation laws in the new version of the theory are analogous to the Einstein field equations and the conservation laws in general relativity. In the transformed theory, the scalar field, however, may be considered as an auxiliary "matter field" and plays a role of "gravitation source" in the tensor-field equations of gravitation. Using new representation to investigate the gravitational radiation problem,we have the result that the total radiating rate of gravitation is the sum of contribution from the tensor and the scalar fields, and find the formulars of radiating rate of the tensor and the scalar fields. Finally, the radiation of gravitational waves in the binary-star system is discussed in detail.