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## Main Question or Discussion Point

I'm looking at this equation for gravitational time dilation:

[tex]

T = \frac{T_0}{\sqrt{1 - (2GM / rc^2)}}

[/tex]

I understand the relation of time dilation and velocity, and how v must be less than c, but I don't understand what exactly is implied here. At a certain point, M could be great enough such that the square root becomes negative or 0, or r could become small enough that the same thing happens. So what exactly does that mean? Is it possible that M or r could be a size such that you get an imaginary or undefined answer?

[tex]

T = \frac{T_0}{\sqrt{1 - (2GM / rc^2)}}

[/tex]

I understand the relation of time dilation and velocity, and how v must be less than c, but I don't understand what exactly is implied here. At a certain point, M could be great enough such that the square root becomes negative or 0, or r could become small enough that the same thing happens. So what exactly does that mean? Is it possible that M or r could be a size such that you get an imaginary or undefined answer?