Conformally flat spherically symmetric spacetimes

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作者
Øyvind Grøn
Steinar Johannesen
机构
[1] Oslo University College,Department of Engineering
关键词
Curvature Scalar; Line Element; Weyl Tensor; Einstein Tensor; Symmetric Spacetimes;
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摘要
We deduce a simple expression for the Kretschmann curvature scalar of a conformally flat spacetime with a perfect fluid. Conformally flat, static, spherically symmetric spacetimes are investigated in various coordinate systems. The equation for a vanishing Weyl tensor and Einstein's field equations are integrated in curvature coordinates. We find conformally flat generalizations of the de Sitter spacetime and give new analyses of the internal Schwarzschild spacetime and texture-dominated spacetimes. The spacetimes are described in curvature coordinates, isotropic coordinates and in conformally flat spacetime coordinates.
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