What is the volume of a 4-ball in Minkowski Space?

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I know the volume of a 4-ball in Euclidean space, but I’m not sure if it would be calculated differently in Minkowski space. Could anybody tell me what the equation for the volume of a 4-ball in Minkowski space is?

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I would assume it would be infinite. Since the equation would be $x^2+y^2+z^2-t^2 < \pm r^2$. Which is a some kind of hyperboloid.