论文标题
质量参数以及从常规黑洞附近发出的红移和光子的红移和蓝光的边界
Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes
论文作者
论文摘要
我们获得了一类静态和球形对称的常规黑洞(BHS)(即Bardeen,Hayward和Ayón-Beato-GarcíaBHS)的质量参数,这些黑洞是Einstein的野外方程的解决方案,它们是与非线性电动动力学(NED)相连的Einstein field方程的解决方案(在Redshifts和BlueSite inst Indeds intests for Redshifts and Blueshifts fyemants fysemant fysements inst fysects)绕这些BHS绕。对于这类时空几何形状,光子的运动不受无效的测量学控制,这反映了光子运动中电动力非线性的直接影响;因此,需要构建有效的几何形状来研究无效轨迹[物理学。 Rev. D61,045001(2000)]。为了实现上述,我们首先从对稳定的圆形轨道和从中弹出的稳定的圆形轨道和光子运动的运动进行分析,首先研究运动的常数,并在赤道平面中以上述常规BHS的形式进入赤道平面中的远处观察者(或检测器)。提出了光子的红色/蓝光与常规BH可观察物之间的关系。我们还在数值上找到了这些常规BH病例的光子移位上的边界。
We obtain the mass parameter for a class of static and spherically symmetric regular black holes (BHs) (namely Bardeen, Hayward and Ayón-Beato-García BHs) which are solutions of Einstein's field equations coupled to nonlinear electrodynamics (NED) in terms of redshifts and blueshifts of photons emitted by geodesic particles (for instance, stars) orbiting around these BHs. The motion of photons is not governed by null geodesics for these type of spacetime geometries which reflects the direct effects of the electrodynamic nonlinearities in the photon motion; hence, an effective geometry needs to be constructed to study null trajectories [Phys. Rev. D61, 045001 (2000)]. To achieve the above, we first study the constants of motion from the analysis of the motion of both geodesic particles moving in stable circular orbits and photons ejected from them and reaching a distant observer (or detector) in the equatorial plane for the above mentioned regular BHs. The relationship between red/blueshifts of photons and the regular BH observables is presented. We also numerically find the bounds on the photon shifts for these regular BH cases.