The standard static spherically symmetric ansatz with perfect fluid source revisited - General Relativity and Quantum CosmologyReportar como inadecuado




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Abstract: Considering the standard -static- spherically symmetric ansatz ds2 = -Brdt2 + Ar dr2 + r2 dOmega2 for Einstein-s Equations with perfect fluid source,we ask how we can interpret solutions where Ar and Br are not positive, asthey must be for the static matter source interpretation to be valid.Noting that the requirement of Lorentzian signature implies Ar Br >0, wefind two possible interpretations:i The nonzero component of the source four-velocity does not have to be u0.This provides a connection from the above ansatz to the Kantowski-Sachs KSspacetimes.ii Regions with negative Ar and Br of -static- solutions in theliterature must be interpreted as corresponding to tachyonic source.The combinations of source type and four-velocity direction result in fourpossible cases. One is the standard case, one is identical to the KS case, andtwo are tachyonic. The dynamic tachyonic case was anticipated in theliterature, but the static tachyonic case seems to be new. We deriveOppenheimer-Volkoff-like equations for each case, and find some simplesolutions. We conclude that new -simple- black hole solutions of the aboveform, supported by a perfect fluid, do not exist.



Autor: Ibrahim Semiz

Fuente: https://arxiv.org/







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