A new solution of Einstein’s vacuum field equations

Sep 11, 2014
10 pages
Published in:
  • Pramana 85 (2015) 1101-1110
  • Published: Jun 25, 2015
e-Print:

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Abstract: (Springer)
A new solution of Einstein’s vacuum field equations is discovered which appears as a generalization of the well-known Ozsváth–Schücking solution and explains its source of curvature which has otherwise remained hidden. Curiously, the new solution has a vanishing Kretschmann scalar and is singularity-free despite being curved. The discovery of the new solution is facilitated by a new insight which reveals that it is always possible to define the source of curvature in a vacuum solution in terms of some dimensional parameters. As the parameters vanish, so does the curvature. The new insight also helps to make the vacuum solutions the Machian solutions.
Note:
  • Pramana - J. Phys. (in press)
  • 04.20.Cv
  • 04.20.Jb
  • 98.80.Jk
  • General relativity
  • exact solutions
  • Mach’s principle
  • curvature
  • field equations
  • Einstein equation: solution
  • vacuum: solution