Speaker
Janusz Garecki
(University of Szczecin)
Description
At first we define Riemannian geometry in general relativity (GR) as geometry determined by Riemannian, Finsler-like metric
\begin{equation}
h_{ab}(x;v) :=2V_a V_b - g_{ab}(x).
\end{equation}
Here $g_{ab}$ is the Lorentzian metric of a spacetime and ${\vec v}$ is an unit timelike vector field: $v = \sqrt{g_{ab}v^a v^b} =1$. Then, we compare this Riemannian geometry with original, Lorentzian geometry in the case of Friedmann and more general spacetimes
Author
Janusz Garecki
(University of Szczecin)
