Abstract
Abstract
We consider a little known aspect of signature change, where the overall sign of the
metric is allowed to change, with physical implications. We show how, in different formulations
of general relativity, this type of classical signature change across boundaries with a degenerate
metric can be made consistent with a change in sign (and value) of the cosmological constant
Λ. In particular, the separate “mostly plus” and “mostly minus” signature sectors of
Lorentzian gravity are most naturally associated with different signs of Λ. We show how
this general phenomenon allows for classical solutions where the open dS patch can arise from a
portion of AdS space time. These can be interpreted as classical “imaginary space” extensions of
the usual Lorentzian theory, with a
2 < 0.
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4 articles.
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