Synthical logo
Your space
Activity icon
Favorites icon
Account icon
From arXiv

Obtaining a class of Type O pure radiation metrics with a cosmological constant, using invariant operators

Using the generalised invariant formalism we derive a class of conformally flat spacetimes whose Ricci tensor has a pure radiation and a Ricci scalar component. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N respectively. In this paper we demonstrate how to handle, in the generalised invariant formalism, spacetimes with isotropy freedom and rich Killing vector structure. Once the spacetimes have been constructed, it is straightforward to deduce their Karlhede classification: the Karlhede algorithm terminates at the fourth derivative order, and the spacetimes all have one degree of null isotropy and three, four or five Killing vectors.
Upvote icon
Published on April 24, 2006
Copy BibTeX
Cross iconSummary
There is no AI-powered summary yet, because we do not have a budget to generate summaries for all articles.
1. Buy subscription
We will thank you for helping thousands of people to save their time at the top of the generated summary.
If you buy our subscription, you will be able to summarize multiple articles.
Pay $8
≈10 summaries
Pay $32
≈60 summaries
2. Share on socials
If this article gets to top-5 in trends, we'll summarize it for free.
Copy link