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arXiv 2007.12451gr-qc
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$f(T)$推广引力理论中的玻色子星

Boson stars in $f(T)$ extended theory of gravity

Saša Ilijić, Marko Sossich

备注：
14 pages, 5 figures
发表信息：
Phys. Rev. D 102, 084019 (2020)
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摘要：

球对称配置的非相互作用的大质量复杂的标量场，代表非旋转玻色子星，被认为是在修改的扭转为基础的$f(T)$引力的框架内，与$f(T) = T + α\, T^2/2$。我们发现，如果$α$的负值足够大，玻色子星的质量可以任意大。这与广义相对论相反，在广义相对论中，存在一个由非相互作用的标量场建立的玻色子星质量的上限$M_{max} \sim M_{Planck}^2/m$，并且只有在引入标量场自相互作用的情况下才能获得玻色子星在天体物理学体系中的质量。在足够大的负$α$的情况下，我们也发现所有质量的引力结合能都是负的，这可以被看作是这种构型稳定性的一个指标。在其正区域中，$α$不能随着$f(T)$流体的应力-能量分量中的相变的发展而任意大。这种现象已经被报道发生在$f(T)$引力理论中构造的多变恒星中。

英文摘要：

Spherically symmetric configurations of the non-interacting massive complex scalar field, representing non-rotating boson stars, are considered within the framework of the modified torsion based $f(T)$ gravity, with $f(T) = T + α\, T^2/2$. We find that with sufficiently large negative value of $α$ the mass of the boson stars can be made arbitrarily large. This is in contrast to General Relativity where an upper bound, $M_{max} \sim M_{Planck}^2/m$, to the mass of the boson stars built from the non-interacting scalar field exists and where the masses of boson stars in the astrophysical regime can be obtained only with the introduction of the scalar field self-interaction. With sufficiently large negative $α$ we also find negative gravitational binding energy for all masses, which can be seen as an indication of the stability of such configurations. In its positive regime, $α$ can not be made arbitrarily large as a phase transition in the stress--energy components of the $f(T)$-fluid develops. This phenomenon has already been reported to occur in polytropic stars constructed within the $f(T)$ gravity theory.

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