English

A New Solution of Einstein Vacuum Field Equations

General Relativity and Quantum Cosmology 2015-09-22 v1 Cosmology and Nongalactic Astrophysics Mathematical Physics math.MP

Abstract

A new solution of Einstein's vacuum field equations is discovered which appears as a generalization of the well-known Ozsvath-Schucking 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 Machian.

Keywords

Cite

@article{arxiv.1409.3758,
  title  = {A New Solution of Einstein Vacuum Field Equations},
  author = {Ram Gopal Vishwakarma},
  journal= {arXiv preprint arXiv:1409.3758},
  year   = {2015}
}

Comments

Pramana - J. Phys. (in press)

R2 v1 2026-06-22T05:55:24.431Z