• A new solution of Einstein's vacuum field equations

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      https://www.ias.ac.in/article/fulltext/pram/085/06/1101-1110

    • Keywords

       

      General relativity; exact solutions; Mach's principle.

    • Abstract

       

      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.

    • Author Affiliations

       

      Ram Gopal Vishwakarma1

      1. Unidad Académica de Matemáticas, Universidad Autónoma de Zacatecas, C.P. 98068, Zacatecas, ZAC, Mexico
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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