- #1

victorvmotti

- 155

- 5

Now imagine that the hypersurface ##\Sigma =\mathbb{R}^3## of ##x, y, z## moves with constant rate ##r## along the coordinate ##w##, i.e. ##dw/dt=r##. Assuming that ##t \in (-\infty, + \infty)## what is the metric that describes such an evolution or dynamics of the three dimensional hypersurface in the five dimensional spacetime?