匀速直线运动的克尔-纽曼黑洞的吸积

发布时间：2018-08-24 17:49

【摘要】：天体的物质吸积一直是天体物理学家感兴趣的现象,人们也已经得到了若干黑洞吸积的精确解.本文研究了一个作匀速直线运动的克尔-纽曼黑洞的吸积问题,获得一个解析解.将参考系选为黑洞静止参考系,将物质流近似为理想流体且旋度为零,流的速度矢量hu_μ可以表达为一个势ψ的梯度.得到势ψ所满足的微分方程(ψ~(,a));_a=0在克尔-纽曼黑洞时空的具体形式.在两个边界条件(即无穷远处势ψ的表达式和粒子数n在外事件视界上的有限性)下求得势ψ的微分方程的解.利用此解计算速度矢量各分量nu_μ,发现一般情况下,吸积流是三维的,即是空间3个坐标(r,θ,ф)的函数,不具备球对称性和轴对称性.最后计算出物质吸积速率,此速率取决于黑洞基本参量质量、电荷和角动量.
[Abstract]:Astrophysicists have always been interested in the accretion of celestial matter, and some exact solutions of black hole accretion have been obtained. In this paper we study the accretion problem of a Kerr Newman black hole with uniform linear motion and obtain an analytical solution. The reference system is chosen as the stationary reference system of the black hole. The mass flow is approximated to an ideal fluid with zero curl. The velocity vector hu_ 渭 of the flow can be expressed as a gradient of potential 蠄. The specific form of the differential equation (蠄 ~ (a) of potential 蠄 in Kerr Newman black hole spacetime is obtained. Under two boundary conditions (i.e. the expression of infinity potential 蠄 and the finiteness of particle number n on the horizon of outer event), the solution of the differential equation of potential 蠄 is obtained. Using this solution to calculate the nu_ 渭 of velocity vector, it is found that the accretion flow is three-dimensional in general, that is, the function of three coordinates (r, 胃, n) in space, without spherical symmetry and axisymmetric. Finally, the mass accretion rate is calculated, which depends on the mass, charge and angular momentum of the basic parameters of the black hole.
【作者单位】：河北大学物理科学与技术学院;
【基金】：国家自然科学基金(11147028,11273010) 河北省自然科学杰出青年科学基金(A2014201068) 河北大学杰出青年科学基金(2012JQ02)资助
【分类号】：P145.8

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