The nonrelativistic limit of steady, twovariable solutions to the Einstein equations
Abstract
On the basis of the rigorous analysis of the nonrelativistic limit of Einstein's relativistic theory of gravitation carried out by Keres (1964, 1972), a concrete method is developed for finding the nonrelativistic analogues of steady, relativistic gravitational fields described by a twovariable metric form. Formulas are derived which permit the physical interpretation of a rather large class of concrete twovariable solutions to the Einstein equations. Examples of such solutions would be the class of solutions of KerrTaub type, the steady solutions of LewisPapapetrou type, the Weyl static solutions, and several others.
 Publication:

Eesti NSV Teaduste Akadeemia Toimetised Fuusika Matemaatika
 Pub Date:
 1974
 Bibcode:
 1974ETATF..23..370K
 Keywords:

 Einstein Equations;
 Gravitation Theory;
 Nonrelativistic Mechanics;
 Relativistic Theory;
 Field Theory (Physics);
 Gravitational Fields;
 Metric Space;
 Theoretical Physics;
 Astrophysics