Chameleon scalar fields in relativistic gravitational backgrounds

Shinji Tsujikawa, Takashi Tamaki, Reza Tavakol

研究成果: Article査読

45 被引用数 (Scopus)


We study the field profile of a scalar field φ that couples to a matter fluid (dubbed a chameleon field) in the relativistic gravitational background of a spherically symmetric spacetime. Employing a linear expansion in terms of the gravitational potential Φ c at the surface of a compact object with a constant density, we derive the thin-shell field profile both inside and outside the object, as well as the resulting effective coupling with matter, analytically. We also carry out numerical simulations for the class of inverse power-law potentials V(φ) = M 4+nφ -n by employing the information provided by our analytical solutions to set the boundary conditions around the centre of the object and show that thin-shell solutions in fact exist if the gravitational potential Φ c is smaller than 0.3, which marginally covers the case of neutron stars. Thus the chameleon mechanism is present in the relativistic gravitational backgrounds, capable of reducing the effective coupling. Since thin-shell solutions are sensitive to the choice of boundary conditions, our analytic field profile is very helpful to provide appropriate boundary conditions for Φ cO(0.1).

ジャーナルJournal of Cosmology and Astroparticle Physics
出版ステータスPublished - 2009

ASJC Scopus subject areas

  • 天文学と天体物理学


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