论文标题
Randall-Sundrum Brane旋转黑洞的大地测量和光学特性,具有宇宙常数
Geodesics and optical properties of rotating black hole in Randall-Sundrum brane with a cosmological constant
论文作者
论文摘要
从观察的角度来看,潮汐电荷的存在和宇宙常数对时空的几何形状产生了相当大的后果,其研究非常重要。此后,我们研究了它们对粒子动力学的影响以及带有宇宙常数的randall-sundrum braneworld黑洞铸造的阴影。在研究及时粒子的圆形测量学时,我们获得了能量,角动量和有效潜力的表达。我们注意到,潮汐电荷和宇宙常数的负值会降低颗粒的能量。另外,宇宙常数的负值导致我们进入稳定的圆形轨道,而其正值破坏了圆形轨道的稳定。我们的探索表明,宇宙常数减小了黑洞阴影的半径。为了响应拖动效果,黑洞旋转将其阴影朝向旋转轴延长。此外,黑洞旋转和正电荷扭曲阴影及其变形最大,直到黑洞旋转速度更快。我们还通过考虑不同的情况讨论了能量排放率,并将我们的结果与标准的Kerr黑洞进行了比较。
The presence of tidal charge and a cosmological constant has considerable consequences on the spacetime geometry and its study is much important from the observational point of view. Henceforth, we investigate their effects on particle dynamics and the shadow cast by a Randall-Sundrum braneworld black hole with a cosmological constant. On studying the circular geodesics of timelike particles, we have acquired the expressions of energy, angular momentum and effective potential. We noted that the negative values of tidal charge and cosmological constant decreases the energy of particles. In addition, the negative value of cosmological constant leads us to the stable circular orbits, whereas its positive value destabilizes the circular orbits. Our exploration shows that the cosmological constant diminishes the radius of the black hole shadow. In response to the dragging effect, black hole rotation elongates its shadow toward the rotational axis. Besides, black hole spin and positive charge distort shadow and its distortion become maximum as far as the black hole rotates faster. We also discussed the energy emission rate by considering different cases and compared our result with the standard Kerr black hole.