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arXiv 0706.2863gr-qc
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有挠引力标量张量理论中的荷电流体动力学

Charged Fluid Dynamics in Scalar-Tensor Theories of Gravity with Torsion

Chih-Hung Wang

摘要:

在有挠引力的标量-张量理论中,引力场用对称度规张量$g$、有挠度规相容联系$\nabla$和标量场$ϕ$来描述.主要目的是探讨在由\{ $g$,$\nabla$,$ϕ$ \}描述的背景电磁场和引力场中带电理想流体与标量场$ϕ$的相互作用.相互作用是基于一个行动功能的$S_C$的充电完美的流体是不变的全球共形重新标度。利用变分原理,我们得到了带电理想流体的运动方程。此外,我们还证明了这些运动方程等价于由作用泛函在时空同态下的不变性和局域U(1)规范群得到的规范恒等式。

英文摘要:

n scalar-tensor theories of gravity with torsion, the gravitational field is described in terms of a symmetric metric tensor $g$, a metric-compatible connection $\nabla$ with torsion, and a scalar field $ϕ$. The main aim is to explore an interaction of a charged perfect fluid and a scalar field $ϕ$ in a background electromagnetic and gravitational field described by \{$g$, $\nabla$, $ϕ$\}. The interaction is based on an action functional $S_C$ of a charged perfect fluid that is invariant under global conformal rescalings. Using a variational principle, we obtain equations of motion for the charged perfect fluid. Moreover, we verify that these equations of motion are equivalent to the gauge identities obtained from the invariance of an action functional under spacetime dffeomorphisms and a local U(1) gauge group.

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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