Invariant Solutions for the Einstein Field Equation
classification
🧮 math.DG
keywords
equationsolutionseinsteinfieldmethodspacetimescapablecharacterized
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In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a given group of translations and whose spatial factor is conformally flat, are characterized. We use this method to give some exact solutions of the referred equation.
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