Abstract
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.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
