I am new to this site and search the internet for this solution. I am looking for an equation that allows me to compute the mass of the object given the time-expansion at the surface of an object and its radius.

However, the current method of calculating time dilation (dτ / dt) does not work for my model and is not what I am looking for.

I am looking for the equation to calculate the mass of an object given its radius and the amount of time dilation based on a range of 0.1 – 1.0. Whereby I would be an infinite Zeitdilatation.

To derive this new time dilation scale, I use the formula 1- (1 / ((1 / (sq2) / (1 ^ 2))))), where v is the escape velocity in percent of c.

For example, if the escape speed is 0.886 c, the object has a time dilation of 0.5363147619

1- (1 / (sq (1 – (. 886 ^ 2)) / (1 ^ 2)))) = 0.5363147619

Based on this scale (0.1 – 1.0) and the radius of an object I am looking for the mass of the object.

To calculate the time dilation without the range 0.1 – 1.0, it is

1 / (sq (1 – (. 886 ^ 2) / (1 ^ 2))) = 2.15

This does not work for me. I need the output in the range of 0.1 – 1.0