waitedavid137
Honorable
This is going to take a lot of explaining so I'm just going to post a bit of it now and then. So lets start looking at the Majumdar-Papapetrau solution
If you have a static charge distribution of extremal charge which is the case where
then that will be the exact solution to Einstein's field equations for the spacetime outside of it where
corresponds to a Newtonian gravitational potential for the mass distribution.
Essentially what I've found in working out exact solutions to the field equations, which I'll get to demonstrating, is that general relativity is an already internally unified classical theory of gravity and electromagnetism where masses correspond to an extreme charge whose observed value is perturbed by the surrounding electromagnetic radiation field.
Consider the Riessner-Nordstrom solution
This is the exact solution to Einstein's field equations for the spacetime outside a spherically symmetric charge.
The stress-energy tensor outside of the charge, list order
, is according to these coordinates
What coordinates you can express things in for general relativity are not unique. There are other coordinates that can be used to express
Another choice of r and t coordinates yields
In these coordinates, the relation to the Majumdar-Papapetrau solution becomes clear. The first couple of terms correspond to that solution exactly and is what you get in the case of
where the stuff on the right is then made to vanish. The stuff on the right is a perturbance to that solution when the observed charge q is allowed to vary from the mass M. In this coordinate choice the expression for the stress-energy tensor transforms to
more to come...
If you have a static charge distribution of extremal charge which is the case where
then that will be the exact solution to Einstein's field equations for the spacetime outside of it where
Essentially what I've found in working out exact solutions to the field equations, which I'll get to demonstrating, is that general relativity is an already internally unified classical theory of gravity and electromagnetism where masses correspond to an extreme charge whose observed value is perturbed by the surrounding electromagnetic radiation field.
Consider the Riessner-Nordstrom solution
This is the exact solution to Einstein's field equations for the spacetime outside a spherically symmetric charge.
The stress-energy tensor outside of the charge, list order
What coordinates you can express things in for general relativity are not unique. There are other coordinates that can be used to express
In these coordinates, the relation to the Majumdar-Papapetrau solution becomes clear. The first couple of terms correspond to that solution exactly and is what you get in the case of
more to come...