Firstly hello,
It is my first time posting here so hopefully I don't make too many mistakes. I have also many, many questions to ask and it is difficult to know where to start. Two particular problems have been puzzling me for quite a while.
The first...
Two particles of equal mass each travelling at the same near relativistic speed with one following the other and for this problem, in relatively close proximity, should also accelerate towards each other due to the 'force' of gravity. The rate of acceleration should be higher than if the two masses were travelling at non relativistic speeds. In other words the gravitational attraction between the two particles is greater at near relativistic velocities.
I would be interested in anything than can either prove or disprove this.
The second problem relates to (and possibly is part of the reasoning for the first question) the missing works describing the rate of change of space in the presence of mass. More specifically, I am able to find works related to the curvature of space-time in the presence of mass but I am unable to find any theories or examples describing or even taking into account the rate at which curvature occurs in the sudden appearance or disappearance of mass. To imply that mass curves space instantaneously and carries this unblemished curve along with it at any velocity seems absurd. To imply that on the sudden disappearence of mass that space-time curvature remains is also absurb, as is an instantaneous return to non-curved space. It would seem logical that time is involved and what ever the return rate is, it quite naturally is limited to and possible is the speed of light. To return at all implies that space-time curvature is the natural reaction to and exact balance of the presence of mass rather than a direct feature of mass. If this is true, gravitional attraction really would be a convenient twist of mathematics.
