The Non-linear
Einstein Equation and Conditional Validity of its Linearization
C. Y. Lo
Applied and Pure Research Institute
7 Taggart
Drive, Unit E, Nashua,
NH 03060
Abstract
It is shown through explicit calculations to illustrate that,
for the dynamic case, the non-linear Einstein equation and its linearized
equation have no compatible solutions. Thus, for the dynamic cases, the
Einstein equation and its “linearization” are independent equations, and the
“linearization” procedure is not valid. In fact, the linearized equation is
compatible with a 1995 modified Einstein equation that added a gravitational
energy-stress tensor with an anti-gravity coupling in the source. This makes
clear that there is no bounded dynamic solution for the Einstein equation as
Gullstrand suspected because the gravitational energy-stress tensor is not in
its source. All these are crucial to show that Einstein’s conjecture of
unification is correct.
KEYWORDS: dynamic solution; gravitational radiation; principle
of causality;
PACS: 04.20.Cv; 04.50.-h; 04.50.Kd; 04.80.Cc
“Unthinking respect for authority is the greatest enemy of
truth.” – A. Einstein
