Reissner exterior and interior
The Reissner-Nordstroem metric is re-examined and supplemented with an interior solution. Both metrics are embedded in a 5-dimensional flat space.
arXiv subjects
Publications and source records attributed to Rainer Burghardt.
The Reissner-Nordstroem metric is re-examined and supplemented with an interior solution. Both metrics are embedded in a 5-dimensional flat space.
An exact solution of the Einstein field equations is proposed which represents a differentially rotating fluid. As this solution matches the exterior Kerr solution and reduces to the Schwarzschild interior solution by setting the rotational parameter to zero, it could serve as Kerr interior.
A recently found interior for the Kerr metric is re-investigated by means of geometrical methods. A surface with nonholonomicity is matched to the surface of the exterior solution.
Some features of the Schwarzschild and Kruskal metric are being discussed under the assumption that the Schwarzschild model can be explained geometrically.
We show that the field equations of the Schwarzschild geometry are invariant under passive Lorentz transformations to a freely falling system. We decompose the field equations with respect to the accelerated system and find that the force of gravity is not transformed away but dynamically compensated.
We propose a global minimal embedding of the Schwarzschild theory in a five-dimensional flat space by using two surfaces. Covariant field equations are deduced for the gravitational forces.