Abstract
Approximate solutions of Einstein's vacuum field equations in the type N, twisting and diverging case are investigated. In this context, it is shown that the field equation determines a function of integration at any order and so can be satisfied. The field equation and other conditions for solutions to be type N are explicitly shown to have a first- and second-order approximate solution which is non-singular. It is argued that an approximate solution at any finite order can be calculated without the occurrence of singularities.
Sign-in/Register to access full text options 
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.
