共查询到20条相似文献,搜索用时 62 毫秒
1.
G. Lessner 《General Relativity and Gravitation》1979,10(5):401-430
On the basis of an approximation method developed in a previous paper the motion of an ideal fluid sphere in a weak gravitational background
is investigated. The sphere is assumed to be small in the sense that its radius is small compared with the change of the background
. Furthermore the deformations of the sphere when accelerated by the background are assumed to be small compared with the extension of the sphere in the absence of acceleration. In the lowest mixed order (mixed of the background
and the retarded potentials of the sphere in lowest order) the equation of motion is yielded by integrating Einstein's conservation law of energy and momentum over the world-tube of the sphere. One obtains an equation of motion for the center of the sphere that is identical with the geodesic line linearized in
. In the case of a static background of a localized matter distribution it is shown that Einstein's energy-momentum complex formed with the retarded potentials from the accelerated motion of the sphere in lowest order (lowest mixed order) leads to an outgoing radiation of gravitational energy. All radiation terms can be expressed in terms of the background and the world-line of the center of the sphere. 相似文献
2.
Yuxi Zheng 《Communications in Mathematical Physics》1993,151(1):67-87
We show that solutions to the modified Dirac-Klein-Gordon system in standard notation
相似文献
3.
We consider the Zakharov equation in space dimension two
|