An exact determination of the gravitational potentials g i j in terms of the gravitational fields R l i j k

1 January 1975

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 16 (1) , 54-55
https://doi.org/10.1063/1.522414

Abstract

Under a certain asymmetry assumption, the gravitational potentials g_ij are determined up to a conformal factor from the field R^l_ijk. This constitutes a partial solution to Einstein’s equations in the general case. Moreover, the solutions are simple in that the g_ij are expressed as polynomial functions of the R^l_ijk.

Keywords

GRAVITATIONAL FIELDS
GENERAL RELATIVITY THEORY
CENTRAL POTENTIALS
METRICS
ANALYTICAL SOLUTIONS
EINSTEIN FIELD EQUATIONS

This publication has 2 references indexed in Scilit:

Conditions on a connection to be a metric connection
Communications in Mathematical Physics, 1973
A theorem on holonomy
Transactions of the American Mathematical Society, 1953