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arXiv 0901.3226gr-qcastro-ph.COhep-phhep-th
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相对论引力背景中的变色龙标量场

Chameleon scalar fields in relativistic gravitational backgrounds

Shinji Tsujikawa, Takashi Tamaki, Reza Tavakol

摘要:

本文研究了在球对称时空的相对论引力背景下,耦合到物质流体(称为变色龙场)的标量场$ϕ$的场分布。采用线性展开的引力势$Φ_c$在一个紧凑的物体的表面具有恒定的密度,我们推导出薄壳场的轮廓内和外的对象,以及由此产生的有效耦合与物质,解析。我们还进行了数值模拟类的逆幂律电位$V(ϕ)=M^{4+n} ϕ^{-n}$通过采用我们的分析解决方案提供的信息,以设置边界条件周围的中心的对象,并表明薄壳解决方案实际上存在的引力势$Φ_c$小于0.3,这稍微涵盖了中子星的情况。因此,在相对论引力背景中存在变色龙机制,能够降低有效耦合。由于薄壳的解决方案是敏感的边界条件的选择,我们的分析场剖面是非常有帮助的,以提供适当的边界条件$Φ_c \lesssim O(0.1)$。

英文摘要:

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 $V(ϕ)=M^{4+n} ϕ^{-n}$ 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 $Φ_c \lesssim O(0.1)$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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