Recent content by stanleyfapps

\[d\Omega_T \] is the element of length on a unit (3-dimensional) hyperboloid with spacelike normal vector in Minkowski space. \[d\Omega_S\] is the element of length for a unit hyperboloid with timelike normal vector in Minkowski space.

I've tried to find this addressed in other threads without success, so I apologize if it has already been addressed. In Coleman and De Luccia (Gravitational effects on and of vacuum decay), they suggest that by analytic continuation ( \[\xi = i\tau \] ): \[ds^2 = -d\xi ^2 - \rho (\xi...