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arXiv · 1207.7250

A no-go on strictly stationary spacetimes in four/higher dimensions

Tetsuya Shiromizu·Seiju Ohashi·Ryotaku Suzuki
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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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Tetsuya Shiromizu, Seiju Ohashi, Ryotaku Suzuki. 2012-07-31. A no-go on strictly stationary spacetimes in four/higher dimensions. https://doi.org/10.1103/physrevd.86.064041

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