# The 4th Conference of the Polish Society on Relativity

24-28 September 2017
Kazimierz Dolny, Poland
Europe/Warsaw timezone

## General relativity with a positive cosmological constant $\Lambda$ as a gauge theory

25 Sep 2017, 18:10
20m
Kazimierz Dolny, Poland

#### Kazimierz Dolny, Poland

Dom Pracy Twórczej SDP ul. Małachowskiego 17 24-120 Kazimierz Dolny
Oral presentation (preferred)

Janusz Garecki

### Description

In the paper we show that the general relativity action (and Lagrangian) in recent Einstein-Palatini formulation is equivalent to the action (and Langrangian) of a gauge field.

We begin with a bit of information of the Einstein-Palatini (EP) action, then we present how Einstein fields equations can be derived from it. In the next section, we consider Einstein-Palatini action integral for general relativity with a positive cosmological constant $\Lambda$ in terms of ''corrected curvature'' $\hat{F}$. We will see that in terms of $\hat{F}$ this action takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the curvature $\hat{F}$.

Janusz Garecki

### Co-author

Marta Dudek (University of Szczecin)

### Presentation Materials

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