A new solution of Einstein’s vacuum field equations
Sep 11, 201410 pages
Published in:
- Pramana 85 (2015) 1101-1110
- Published: Jun 25, 2015
e-Print:
- 1409.3758 [gr-qc]
View in:
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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
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