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stg213
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- TL;DR Summary
- if the singularity appears when space-time reaches ifninity how can this 'grow further' ?
A singularity would be:
a location in spacetime where the gravitational field of a celestial body is predicted to become infinite by general relativity in a way that does not depend on the coordinate system. (wiki)
If the threshold to get a singularity is reached then space-time curvature becomes infinite ->
The Schwarzschild radius is:
2GM/c^2
=> the more mass the singularity has the bigger the black hole
Now my question may be naive but: how can more mass curve space-time beyond infinity ?
Let's suppose there is a minimal stable singularity (doesn't matter how small) => the particular curvature of a singularity appears (according to relativity this is already infinite)
Given that we know black holes vary in size and gravitational strength this would imply:
a) variable 'infinite' curvature
b) that curvature is not infinite within the singularity
c) that the relationship between mass and space-time geometry is flawed
a location in spacetime where the gravitational field of a celestial body is predicted to become infinite by general relativity in a way that does not depend on the coordinate system. (wiki)
If the threshold to get a singularity is reached then space-time curvature becomes infinite ->
The Schwarzschild radius is:
2GM/c^2
=> the more mass the singularity has the bigger the black hole
Now my question may be naive but: how can more mass curve space-time beyond infinity ?
Let's suppose there is a minimal stable singularity (doesn't matter how small) => the particular curvature of a singularity appears (according to relativity this is already infinite)
Given that we know black holes vary in size and gravitational strength this would imply:
a) variable 'infinite' curvature
b) that curvature is not infinite within the singularity
c) that the relationship between mass and space-time geometry is flawed