Hayward黑洞的李雅普诺夫指数与混沌边界的研究

Lyapunov Exponent of Hayward Black Hole and Chaos Bound Investigation

基于研究正规Hayward黑洞周围运动粒子的轨道开展对其李雅普诺夫指数与边界对比的数值模拟.判断粒子轨道的有效势是否具有不稳定极值点,并研究其在不同参数下的行为,求出粒子在不同参数下的李雅普诺夫指数和MSS边界.通过数值方法对比李雅普诺夫指数与MSS边界,验证MSS边界是否被违反,并将Hayward黑洞退化为施瓦西黑洞比较.结果表明:Hayward黑洞对特定数值出现违反此混沌边界的行为,但通过调节参数可以使其满足此上界,整体行为与施瓦西黑洞类似,由此验证了Hayward黑洞的混沌边界并不是恒成立的.

This paper carries out a numerical simulation of the contrast between the Lyapunov exponent and the bound in the orbits of moving particles around the regular Hayward black hole. This paper determines whether the effective potential of the particle orbit has an unstable extreme point, and study its behavior under different parameters, and obtain the Lyapunov exponent and MSS bound of the particle under different parameters. The Lyapunov exponent and the MSS bound are compared numerically to verify whether the MSS bound is violated, and the Hayward black hole is degenerated into and compared with the Schwarzschild black hole. The results show that the behavior of Hayward black hole violates this chaos bound for certain values, but the upper bound can be satisfied by adjusting the parameters. The overall behavior is similar to that of Schwarzschild black hole, so it is verified that the chaos bound of Hayward black hole is not always workable.