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Electrovac universes with a cosmological constant

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Posada-Aguirre N., Batic D.
Open Physics
|
2014
|
vol. 12
|
issue 5
297-304
EN
We present the extension of the Einstein-Maxwell system called electrovac universes by introducing a cosmological constant Λ. In the absence of the Λ term, the crucial equation in solving the Einstein-Maxwell system is the Laplace equation. The cosmological constant modifies this equation to become in a nonlinear partial differential equation which takes the form ΔU =2ΛU 3. We offer special solutions of this equation.
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