Dear Ali,
Forget about the general relativity theory. It is a theory that doesn't work. Even black holes are theoretically impossible with it.
Read about Stephen Crothers' work.
What works is the extension of Newton's gravity with a velocity-dependent gravity field, as was proven by the Gravity Probe B experiment. See Wikipedia.
It works like magnetism in electromagnetism, and includes a force field that is velocity-dependent.
Spinning stars are gravitational dipoles, and other masses that enter that second gravity field will get an additional Lorentz-like force.
The many fast spinning stars inside disc galaxies hold the disc flat by the dipole action.
The speed of the sun in the Milky Way is responsible for the anormal perihelion advance of Mercury.
Many other effects can be shown as observed or predicted.
When using the second gravity field, one comes to the conclusion that exploding supernovae get a remaining star in the shape of a torus. So, there is no singularity any more with the correct gravity theory.
Best regards,
Thierry De Mees
Thierry is right about one thing , GTR is arcane and obsolete.
Herein a much better exposition which solves black holes and dark matter with the same paradigm shift.
https://www.researchgate.net/project/Black-hole-physics-and-dark-matter-modelling
Dear Andrew,
Dark matter? Which dark matter?
When accounting for the velocity - dependent gravity field, there is no need to invent dark matter!
With best regards,
Thierry De Mees
In a Schwarzschild solution for the length element you can see two singularities r=rs and r=0; the first one (r=0) is gravitational singularity where curvature of the Riemannian Geometry (https://en.wikipedia.org/wiki/Riemannian_geometry) becomes infinite. Hence a particle can never reach the exact point where the singularity exists.
Note however, that it is a classical theory. Quantum effects will take over as the length scale nears Planck length. Then such classical deterministic approaches will not be valid. So, perhaps a particle can reach the singularity, or there exists a non-zero probability for it to do so. But, no one really knows exactly about the theory of quantum gravity.
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