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)