Superposition of solutions in general relativity

  • Basilis C. Xanthopoulos
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 239)


Conditions are established under which the Einstein equations of General Relativity behave like linear equations in the sense that the sum of an exact and an approximate solution is a new exact solution. Superposition theorems are obtained for the vacuum Einstein equations with and without cosmological constant, the coupled Einstein-Maxwell equations, and the Einstein equations for a perfect fluid.


Cosmological Constant Einstein Equation Blackhole Solution Perfect Fluid Algebraic Condition 


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Basilis C. Xanthopoulos
    • 1
  1. 1.Department of PhysicsUniversity of Crete and Research Center of CreteIraklionGreece

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