General Solutions of The Spherically Symmetric Vacuum Einstein Field Equations
Abstract
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 postNewtonian limits of Schwarzschild by a convenient and correct selection.
 Publication:

arXiv eprints
 Pub Date:
 December 1998
 DOI:
 10.48550/arXiv.grqc/9812081
 arXiv:
 arXiv:grqc/9812081
 Bibcode:
 1998gr.qc....12081A
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 8 pages,no figure, latex Adding a section