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• W2025049985 abstract "The Newtonian theory of gravitation and electrostatics admits equilibrium configurations of charged fluids where the charge density can be equal to the mass density, in appropriate units. The general relativistic analog for charged dust stars was discovered by Majumdar and by Papapetrou. In the present work we consider Einstein-Maxwell solutions in $d$-dimensional spacetimes and show that there are Majumdar-Papapetrou type solutions for all $densuremath{ge}4$. It is verified that the equilibrium is independent of the shape of the distribution of the charged matter. It is also showed that for perfect fluid solutions satisfying the Majumdar-Papapetrou condition with a boundary where the pressure is zero, the pressure vanishes everywhere, and that the $(densuremath{-}1)$-dimensional spatial section of the spacetime is conformal to a Ricci-flat space. The Weyl $d$-dimensional axisymmetric solutions are generalized to include electric field and charged matter." @default.
• W2025049985 created "2016-06-24" @default.
• W2025049985 creator A5021438642 @default.
• W2025049985 creator A5042616283 @default.
• W2025049985 date "2005-06-14" @default.
• W2025049985 modified "2023-10-17" @default.
• W2025049985 title "Class of exact solutions of Einstein’s field equations in higher dimensional spacetimes,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>d</mml:mi><mml:mo>≥</mml:mo><mml:mn>4</mml:mn></mml:math>: Majumdar-Papapetrou solutions" @default.
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• W2025049985 doi "https://doi.org/10.1103/physrevd.71.124021" @default.
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