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An axially symmetric stationary N-center solution of Einstein's vacuum equations

Aleksandr A. Shaideman, Jesus D. Arias H, Kirill V. Golubnichiy

Abstract

Using the Euclidon method, a stationary solution of Einstein's vacuum equations was obtained, describing N rotating axially symmetric masses, which in the absence of rotation describes N arbitrary axially symmetric static masses, for example, N Zipoy masses on the axis of symmetry, and in the absence of distortion, N Kerr-NUT solutions.

An axially symmetric stationary N-center solution of Einstein's vacuum equations

Abstract

Using the Euclidon method, a stationary solution of Einstein's vacuum equations was obtained, describing N rotating axially symmetric masses, which in the absence of rotation describes N arbitrary axially symmetric static masses, for example, N Zipoy masses on the axis of symmetry, and in the absence of distortion, N Kerr-NUT solutions.
Paper Structure (10 sections, 99 equations)

This paper contains 10 sections, 99 equations.

Table of Contents

  1. Introduction
  2. Author declarations
  3. Basic equations
  4. The euclidon method
  5. Two-stationary euclidon (soliton) solution (the Kerr-NUT solution)
  6. N-center solution
  7. Two-center solution
  8. Euclidon algebra
  9. Conclusion
  10. Acknowledgments