2019/06/03 by Sante Carloni, João Luís Rosa · 1 citation
Physics and Astronomy · Mathematics · #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.100.025014
published as Phys. Rev. D 100, 025014 (2019) · 13 pages
arxiv created 2019/06/03 · arxiv updated 2019/07/31
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.