# The 6th Conference of the Polish Society on Relativity

Sep 23 – 26, 2019
Other Institutes
Europe/Warsaw timezone

## Riemannian geometry imposed on Friedmann and more general spacetimes

Sep 25, 2019, 4:50 PM
20m
Other Institutes

#### Other Institutes

Maritime Academy, Wały Chrobrego 1-2, Szczecin, Poland
Talk/Seminar Parallel Sessions

### 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

h_{ab}(x;v) :=2V_a V_b - g_{ab}(x).

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

### Primary author

Janusz Garecki (University of Szczecin)

### Presentation materials

There are no materials yet.