General Solutions of The Spherically Symmetric Vacuum Einstein Field Equations

Details General Solutions of The Spherically Symmetric Vacuum Einstein Field Equations General Solutions of The Spherically Symmetric Vacuum Einstein Field Equations

1998-12-23

arxiv.org/abs/gr-qc/9812081v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages,no figure, latex Adding a section

Scientific paper

According to Birkhoff's theorem the only spherically symmetric solution of the vacuum Einstein field equations is the Schwarzschild solution. Inspite of imposing asymptotically flatness and staticness as initial conditions we obtain that these equations have general solutions with the Schwarzschild metric as merely a special and simplest form of them. It is possible to have perfect and smooth metrics with the same Newtonian and post-Newtonian limits of Schwarzschild by a convenient and correct selection.

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