On the problem of the existence for connecting trajectories under the action of gravitational and electromagnetic fields

被引：15

作者：

Antonacci, F

Giannoni, F

Magrone, P

机构：

[1] Univ Roma 3, Dipartimento Matemat, I-00146 Rome, Italy

[2] Univ Camerino, Dipartimento Matemat & Fis, I-62032 Camerino, Italy

[3] Univ Roma Tor Vergata, Dipartimento Matemat, I-00173 Rome, Italy

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2000年 / 13卷 / 01期

关键词：

Lorentzian manifolds; critical points;

D O I：

10.1016/S0926-2245(00)00009-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give sufficient conditions assuring the existence of timelike trajectories connecting two prescribed events in a Lorentzian manifold. They represent the trajectories of a free falling massive particle under the action of a gravitational and electromagnetic field.

引用

页码：1 / 17

页数：17

共 12 条

[1]

ANTONACCI F, 1999, DIFFERENTIAL INTEGRA, V12, P521

[2] Trajectories connecting two events of a Lorentzian manifold in the presence of a vector field [J].