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Marta Dudek

Publications and source records attributed to Marta Dudek.

4 recordsLinked to original sources

Riemannian Structure imposed on Friedmann and more general spacetimes

In the paper we consider two Finsler-like Riemannian metrics, which can be in a natural way introduced into general relativity. One of those metrics $γ_{ab}$ is degenerate and the second $h_{ab}$ is nondegenerate. We are mainly interested with the metric $h_{ab}$ and comparing the geometric structure determined by this metric $h_{ab}$ with the geometric structure determined by the Lorentzian metric $g_{ab}$ of the underlying spacetime. Full comparison we have given for Friedmann Universis. The preliminary version of the paper was presented by one of us (J.G.) on conference POTOR 6 in Szczecin 2019. We think that the our introduction of the Riemannian metric $h_{ab}$ into spacetime is simpler and more general than to so-called Wick rotation.

physics.gen-ph

General relativity with a positive cosmological constant $λ$ as a gauge theory

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 $Λ$ in terms of $\hat{F}$, the curvature of the affine connection's pulled back from de Sitter bundle to Lorentz bundle. 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 $\hat{F}$.

gr-qc

General relativity with nonzero cosmological constant as a gauge theory

We show in a new way that the general relativity action (and Lagrangian)in recent Einstein-Palatini formulation is equivalent in four dimensions to the action (and Lagrangian) of a gauge field. This paper is a continuation of the previous paper [17] and it also gives an amended version of the lecture delivered by one of the authors [M.D.] at Hypercomplex Seminar in Bedlewo.

gr-qc