local conformal flatness

[principalbundles@yahoo.it]

Hello,
any example of spacetime which is not locally conformally flat?
Thank you

[Marc Nardmann]

principalbundles@yahoo.it wrote:

> Hello,
> any example of spacetime which is not locally conformally flat?

Take any (at least 4-dimensional) spacetime whose Weyl tensor does not
vanish identically. Almost every spacetime will do, e.g. the
Schwarzschild metric.


-- Marc Nardmann