Bounds on \(M/R\) for charged objects with positive cosmological constant (Q2892066)
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scientific article; zbMATH DE number 6047193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds on \(M/R\) for charged objects with positive cosmological constant |
scientific article; zbMATH DE number 6047193 |
Statements
18 June 2012
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red shift bound
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Bounds on \(M/R\) for charged objects with positive cosmological constant (English)
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This paper derives a bound on the red shift (\(m/r\)) for spherically symmetric charged solutions of the Einstein-Maxwell equations with positive cosmological constant coupled to anisotropic fluids. The obtained result, with reasonable energy conditions for the fluid, and which can be sharp in some cases, is NEWLINE\[NEWLINEm/r\leq \frac{2}{9}+\frac{q^2}{3r^2}-\frac{\Lambda r^2}{3}+\frac{2}{9}\sqrt{1+\frac{3q^2}{r^2}+3\Lambda r^2}.NEWLINE\]
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