A no-go on strictly stationary spacetimes in four/higher dimensions
classification
🌀 gr-qc
hep-th
keywords
fieldsspacetimescannotcomplexformscalarstationarystrictly
read the original abstract
We show that strictly stationary spacetimes cannot have non-trivial configurations of form fields/complex scalar fields and then the spacetime should be exactly Minkowski or anti-deSitter spacetimes depending on the presence of negative cosmological constant. That is, self-gravitating complex scalar fields and form fields cannot exist.
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