Schwarzschild Metric in a universe with the same space time metric as that described in the orthogonal series, but with massive gravitons?
The universe described in the orthogonal series http://www.gregegan.net/ORTHOGONAL/00/PM.html is one, in which the minus sign in the space time interval is replaced with a plus sign. So this universe has four fundamentally similar dimensions rather than three space like dimensions and one time like dimension.
In the universe described in the orthogonal series http://www.gregegan.net/ORTHOGONAL/04/EMExtra.html the electric force between two electric charges is attractive at some distances and repulsive at other distances. The electric potential energy between two electric charges in the universe described in the orthogonal series would be
In our universe the Schwarzschild Metric can be described by the equation
In a universe with the same spacetime metric as the one described in the orthogonal series, but with massive gravitons, would gravity also be attractive at some distances, and repulsive at other distances?
I was thinking of a universe, with the same space time metric as the universe described in the orthogonal series, but with massive gravitons, and with gravity being repulsive at the closest distances.
In this type of universe, would this be the correct schwarzschild metric?
In this case
Would this be correct for the Schwarzschild Metric for this type of universe?
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