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arXiv 1911.00540gr-qchep-th
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三维广义相对论Poynting-Robertson效应II:刚性旋转球源的辐射场

Three-dimensional general relativistic Poynting-Robertson effect II: Radiation field from a rigidly rotating spherical source

Pavel Bakala, Vittorio De Falco, Emmanuele Battista, Kateřina Goluchová, Debora Lančová, Maurizio Falanga, Luigi Stella

摘要:

本文研究了在局域共动坐标系下,刚性旋转球源辐射的三维广义相对论性坡印廷-罗伯逊效应。这样的辐射场近似于旋转的中子星表面产生的辐射场,或者由吸积黑洞的中心辐射热日冕产生的辐射场;它扩展了我们在以前的研究中考虑的纯径向辐射场。它的角动量用发射源的旋转频率和半径来表示。对于背景,我们采用克尔时空几何。我们导出了受这种辐射场影响的试验粒子的运动方程,恢复了慢转动的经典和弱场近似。我们专注于解决方案组成的粒子轨道沿圆形轨道关闭和平行于赤道平面,这是稳定的引力,辐射力和PR阻力之间的平衡。这样的解决方案被发现躺在一个临界超曲面,其形状可能会变形从扁长到扁圆取决于克尔自旋参数和发光度,旋转和半径的辐射球。对于选定的参数范围内,临界超曲面相交的辐射球产生一个凸出的赤道区域,或者,两个以上的极点叶。我们计算了一组选定的初始参数的临界超曲面附近的测试粒子的轨迹和分析的空间和角速度的测试粒子捕获的临界超曲面。

英文摘要:

We investigate the three-dimensional, general relativistic Poynting-Robertson effect in the case of rigidly rotating spherical source which emits radiation radially in the local comoving frame. Such radiation field is meant to approximate the field produced by the surface of a rotating neutron star, or by the central radiating hot corona of accreting black holes; it extends the purely radial radiation field that we considered in a previous study. Its angular momentum is expressed in terms of the rotation frequency and radius of the emitting source. For the background we adopt a Kerr spacetime geometry. We derive the equations of motion for test particles influenced by such radiation field, recovering the classical and weak-field approximation for slow rotation. We concentrate on solutions consisting of particles orbiting along circular orbits off and parallel to the equatorial plane, which are stabilized by the balance between gravitational attraction, radiation force and PR drag. Such solutions are found to lie on a critical hypersurface, whose shape may morph from prolate to oblate depending on the Kerr spin parameter and the luminosity, rotation and radius of the radiating sphere. For selected parameter ranges, the critical hypersurface intersects the radiating sphere giving rise to a bulging equatorial region or, alternatively, two lobes above the poles. We calculate the trajectories of test particles in the close vicinity of the critical hypersurface for a selected set of initial parameters and analyze the spatial and angular velocity of test particles captured on the critical hypersurface.

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