- 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