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20072013
most citedFRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism

26 citations · 72 across the 7 of their papers we have counts for

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7 papers

gr-qc2013

Different representations of the Levi-Civita Bertotti Robinson solution

Oyvind Gron, Steinar Johannesen

The Levi-Civita Bertotti Robinson (LBR) spacetime is investigated in various coordinate systems. By means of a general formalism for constructing coordinates in conformally flat sp…

gr-qc2011

A solution of the Einstein-Maxwell equations describing conformally flat spacetime outside a charged domain wall

Oyvind Gron, Steinar Johannesen

We derive and discuss the physical interpretation of a conformally flat, static solution of the Einstein-Maxwell equations. It is argued that it describes a conformally flat, stati…

gr-qc2011★ 12 cited

FRW Universe Models in Conformally Flat Spacetime Coordinates. III: Universe models with positive spatial curvature

Oyvind Gron, Steinar Johannesen

We deduce general expressions for the line element of universe models with positive spatial curvature described by conformally flat spacetime coordinates. Models with dust, radiati…

gr-qc2011★ 17 cited

FRW Universe Models in Conformally Flat Spacetime Coordinates. II: Universe models with negative and vanishing spatial curvature

Oyvind Gron, Steinar Johannesen

We deduce general expressions for the line element of universe models with negative and vanishing spatial curvature described by conformally flat spacetime coordinates. The empty M…

gr-qc2011★ 26 cited

FRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism

Oyvind Gron, Steinar Johannesen

The 3-space of a universe model is defined at a certain simultaneity. Hence space depends on which time is used. We find a general formula generating all known and also some new tr…

gr-qc2010★ 2 cited

A spacetime with closed timelike geodesics everywhere

Oyvind Gron, Steinar Johannesen

In the present article we find a new class of solutions of Einstein's field equations. It describes stationary, cylindrically symmetric spacetimes with closed timelike geodesics ev…