Gravitational dipole moment from an exact solution with torsion
Abstract
Dipole fields are common in electromagnetism and may be viewed as the result of a positive and negative charge (or pole) which are close together. A dipole field in gravity is not expected to exist because negative mass has never been observed. However, an exact solution to the gravitational field equations with torsion is presented that does correspond to a dipole gravitational field, even though there is no negative mass. The theory is based on a nonsymmetric metric tensor, and it is found there is a singularity in the metric tensor at the origin but no event horizon. Gravitational dipoles have been used to solve the dark matter problem.
 Publication:

New Journal of Physics
 Pub Date:
 September 2020
 DOI:
 10.1088/13672630/abab3b
 arXiv:
 arXiv:2006.00312
 Bibcode:
 2020NJPh...22i3011H
 Keywords:

 gravitational dipole;
 torsion;
 spin;
 nonsymmetric metric tensor;
 General Relativity and Quantum Cosmology
 EPrint:
 1 figure, 4 pages