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arXiv · 1906.00702

On Derrick's theorem in curved spacetime

Sante Carloni·João Luís Rosa
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Abstract

We extend Derrick's theorem to the case of a generic irrotational curved spacetime adopting a strategy similar to the original proof. We show that a static relativistic star made of real scalar fields is never possible regardless of the geometrical properties of the (static) spacetimes. The generalised theorem offers a tool that can be used to check the stability of localised solutions of a number of types of scalar fields models as well as of compact objects of theories of gravity with a non-minimally coupled scalar degree of freedom.

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Sante Carloni, João Luís Rosa. 2019-06-03. On Derrick's theorem in curved spacetime. https://doi.org/10.1103/physrevd.100.025014

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