Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds
Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds
复制标题
洛伦兹流形中测地天球体积的比较结果
DOI：
10.1016/j.difgeo.2005.03.001
复制
发表时间：
2005
影响因子：
0.5
通讯作者：
L. Hervella
中科院分区：
文献类型：
--
作者：
J. Díaz;E. García‐Río;L. Hervella
得到了洛伦兹流形中测地线天球的体积与洛伦兹空间形式中相应物体的体积的比较结果。同时，作为刚性结果表明，当且仅当时空具有恒定曲率时，测地线天球的体积与瞬时观测者无关。
Volume comparison results are obtained for the volume of geodesic celestial spheres in Lorentzian manifolds and the corresponding objects in Lorentzian space forms. Also, as a rigidity result it is shown that the volume of geodesic celestial spheres is independent of the instantaneous observer if and only if the spacetime has constant curvature.