科研之友
微信
新浪微博
Facebook
分享链接
摘要
Following up on our earlier work on a Lorentzian metric induced from a Riemannian metric by a unit vector field, we consider the case when the Lorentzian metric represents a special type of synchronous spacetime. Under this assumption, if the Lorentz metric is a four-dimensional vacuum spacetime, then we show that it is a Minkowskian expanding hyperbolic cosmological model. Under the same assumption, we also examine the spacetime when the background Riemannian metric is a Ricci soliton, and find that the Ricci soliton is steady and Ricci-flat and the associated spacetime is static and decomposable as the product of time line and a Ricci flat space.
- 出版日期2007-7-7
