以波检验非奇异静态球对称黑洞的共形不变性  

Probing the conformal invariance around the nonsingular static spherical black holes with waves

作　　者：梅常鸿 林瑞辉 姜锐 翟向华 MEI Changhong;LIN Ruihui;JIANG Rui;ZHAI Xianghua(Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版中英文）》2023年第6期663-677,共15页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The National Natural Science Foundation of China(12105179)。

摘　　要：共形不变性可以改善或消除存在于黑洞中的奇点,并且这一性质可能仍然存在于这些黑洞附近的强引力区域中.本文作者尝试通过研究非奇异静态球对称黑洞对波的吸收和散射来检验这种共形不变性,给出了不同共形参数下黑洞的部分和全吸收截面,以及微分散射截面由于所研究的时空与史瓦西黑洞背景时空是共形相关的,光子轨迹没有区别,但波动光学却受到共形参数的影响。研究结果表明,波的吸收通常随着共形参数的增加而增加,而黑洞的阴影仍然与史瓦西时空的情况相同.此外,随着共形参数的增加,散射的振荡模式中的峰值向较小的观察角度偏移,而辉光散射下峰值的宽度没有表现出敏感的依赖性。因此,共形引力中,非奇异静态球对称黑洞对波的吸收和散射的独特特征,在低频区可以将其与史瓦西黑洞区分开来,在高频极限及辉光峰的对比中,则可以与其他替代引力的球对称黑洞区分开来.Conformal invariance can ameliorate or eliminate the singularities residing in the black holes,and it may still exist in the strong gravity regimes close to these black holes.In this paper,we try to probe this conformal invariance by looking into the wave absorption and scattering by the nonsingular static spherical black holes.The partial and total absorption cross section,as well as the differential scattering cross section,are presented for black holes with different choices of conformal parameters.Although the photon trajectories are unchanged from the Schwarzschild case since the spacetimes are conformally related,the wave optics are affected by the conformal parameters.As a result,the absorption of waves generally increases with the conformal parameters,while the shadow of the black holes remains the same as that of the Schwarzschild black hole.Moreover,the peaks in the oscillatory pattern of scattering shift towards smaller observation angles as the conformal parameters grows,while the widths of the glory peaks do not show sensitive dependence.The unique signature of the wave absorption and scattering by the nonsingular static spherical black holes in conformal gravity thus can serve to distinguish these nonsingular black holes from the Schwarzschild black hole in the low frequency regime,and from other spherical black holes of alternative gravities in the high frequency limit and glory peaks.

关 键 词：黑洞 共形不变性 吸收 散射 

分 类 号：O412.1[理学—理论物理]