A new characterization of the n-dimensional Einstein static spacetime

JOURNAL OF GEOMETRY AND PHYSICS

卷:81

Article

Palomo, Francisco J.

关键词: Einstein static spacetime;    Null congruence;    Sasaki metric;    Conformal vector fields;   

DOI  :  10.1016/j.geomphys.2014.03.010

来源: Elsevier

【 摘 要 】

The Einstein static spacetime is characterized as the unique geodesically complete and simply connected Lorentzian manifold such that the geodesic flow acts by isometries of the Sasaki metric on any null congruence associated to a conformal timelike vector field. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free