I've tried to find this addressed in other threads without success, so I apologize if it has already been addressed.(adsbygoogle = window.adsbygoogle || []).push({});

In Coleman and De Luccia (Gravitational effects on and of vacuum decay), they suggest that by analytic continuation ([tex] \[\xi = i\tau \] [/tex]):

[tex] \[ds^2 = -d\xi ^2 - \rho (\xi )^2(d\Omega_S )^2\]

[/tex]

becomes

[tex] \[ds^2 = d\tau ^2 - \rho (i\tau )^2(d\Omega_T )^2\] [/tex]

and if [tex] \[\rho (\xi ) = \xi \] [/tex], this is "ordinary Minkowski space." However, it doesn't look like Minkowski space to me. Does anyone know what transformation makes this look like ordinary Minkowski space?

How does this transform to look like Minkowski space?

[tex] \[ds^2 = d\tau ^2 + \tau^2(d\Omega_T )^2\] [/tex]

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# Alternative form of Minkowski metric?

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