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1.
G. Lessner 《General Relativity and Gravitation》1976,7(10):781-803
On the basis of an approximation method developed in a previous paper the motion of an extended small mass on a gravitational background
is investigated. The mass is described by a spherically symmetric rest mass distribution with some form of rigidity; the smallness of the mass is defined by the assumption that the radius of the mass is small compared with the change of the background
. The equation of motion is yielded by integrating Einstein's conservation law of energy and momentum over the world tube of the mass. In the lowest mixed order (mixed of the background
and the retarded potentials of the mass in lowest order) this equation is identical with the geodesic line linearized in
. In the case when the motion on a static background generated by a localized matter distribution is finite, the gravitational radiation of the mass in lowest order is given. 相似文献
2.
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
3.
We consider the Zakharov equation in space dimension two
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4.
We consider the Zakharov equation in space dimension two
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