The 4th Conference of the Polish Society on Relativity

Sep 24 – 28, 2017
Kazimierz Dolny, Poland
Europe/Warsaw timezone

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

Sep 25, 2017, 6:10 PM
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)