I prefer to state that as aA=aB/(1+aBL/c2).
Taking Newtons formula for gravity F=GMm/r2 for mA and mB and assuming mass A is above mass B in a planet M gravity field, or
L=rA-rB, you can get the same type of expression for a planet gravity field: aA=aB/(1+L/rB)2
The Equivalence...
Suppose I am standing in an inertial reference frame and watching two point masses A and B accelerate according to the rules of the Born rigidity. The distance between the masses is L in an inertial frame in which A and B are simultaneously at rest. Mass A is 'in front' of mass B. Mass B has...
This is a simple problem in Special Relativity with three inertial reference frames instead of the usual two. The equations and theory to explain what is happening are easily found in many places. There is no need to refer to the General Theory for your solution because you are clearly just...
Clocks at equal separations on the planet and in Born rigid acceleration may have equal differences in ticking rates by choosing the parameters in each experiment carefully. This does not imply that Born rigid acceleration is functionally equivalent to a room on a planet surface. The planet is...