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arXiv 1010.4409gr-qcastro-ph.HE
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磁化致密双星的热力学

Thermodynamics of magnetized binary compact objects

Koji Uryu, Eric Gourgoulhon, Charalampos Markakis

摘要:

用具有带电和磁化理想流体的螺旋对称爱因斯坦-麦克斯韦时空模型来模拟具有电磁场的致密物体的二元系统。以前推导的螺旋对称完美流体时空的热力学定律被扩展到包括电磁场、电流和电荷;第一定律被写成渐近Noether电荷$\dl Q$的变化与黑洞面积和电荷的变化之间的关系,以及磁化流体的涡度、重子静止质量、熵、电荷和磁通量之间的关系。利用Bekenstein和Oron对理想磁流体和零传导电流的磁化流的环流守恒定律,证明了在平衡点附近满足$\dl Q=0$的关系式。我们还讨论了一个公式计算磁化的二元紧凑的物体在平衡的第一个积分的理想MHD欧拉方程的重点数值解。

英文摘要:

Binary systems of compact objects with electromagnetic field are modeled by helically symmetric Einstein-Maxwell spacetimes with charged and magnetized perfect fluids. Previously derived thermodynamic laws for helically-symmetric perfect-fluid spacetimes are extended to include the electromagnetic fields, and electric currents and charges; the first law is written as a relation between the change in the asymptotic Noether charge $\dl Q$ and the changes in the area and electric charge of black holes, and in the vorticity, baryon rest mass, entropy, charge and magnetic flux of the magnetized fluid. Using the conservation laws of the circulation of magnetized flow found by Bekenstein and Oron for the ideal magnetohydrodynamic (MHD) fluid, and also for the flow with zero conducting current, we show that, for nearby equilibria that conserve the quantities mentioned above, the relation $\dl Q=0$ is satisfied. We also discuss a formulation for computing numerical solutions of magnetized binary compact objects in equilibrium with emphasis on a first integral of the ideal MHD-Euler equation.

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