随时间变化黑洞背景中标量场的扰动.pdf

复旦大学硕士学位论文随时间变化黑洞背景中标量场的扰动姓名:沈再雄申请学位级别:硕士专业:理论物理指导教师:王斌 20040518 V 65169 3 摘要摘要场存黑洞周罔的扰动显现出似正规模的性质,扰动的频率有实部和J最部两部分。实部反耿了振荡的频率,虚部体现了扰动衰减的快慢,频率的数值只和黑洞的参数有关。黑洞周围场的扰动可以通过未来引力波实验观测到,能作为验证黑洞存在的证据,具有重要的天体物理意义。但是目前的研究只限于对静态黑洞周围场的扰动,如果考虑黑洞有吸击、蒸发过程,这种随时问演化的黑洞背景中场的扰动性质如何,尚无文献报道。我们在这方面作了初步研究。我们研究了无质量标量场存随时间变化的Schwarzsd-lid黑洞背景下的扰动行为。虫¨果黑涧质量随时间变化小是很快,这样的黑洞能用类似的Kruskat度规的形式表示,我们发现标量场似正规振荡体现了背景tj寸空随时间变化的性质。我们还把此研究推广到2+l维的随时问演化的BTz黑洞,除了得到在这一时空背景中标量场似正规模与时间的依赖关系,还找到TAdSt'2字和渐进平坦时空标量场似正规模性必键涮:似正规模式标量场扰动l(ruskid度规BTZ,黑t14 Ads时空英文摘要 Abstract The fieldperturbation inthe background ofblack hole shows achaxaeter ofQuasi— Nornlal modes The perturbation frequency includes realpart and imaginary oscillation period and thedecay timescale are associated with therealpart and theimag- inary I) vaiue offrequency iSrdated only tothe parameters ofblack holes The perturbation carries uniqao fingerprint which would lead tothedirectidentifi— cation oftheblack far the study Modes iSrestricted totime—independent black hole backgrounds To consider a black hole with parameters changing with time due tothe absorption or evaporation processes,feW study has been done.}强have investigated themodification modes inthedynamic Schwarzschild black hole background 炜a findthat coordinates carl be used todescribed these black holeswhose mass iSthan西ng with time not too oscillation shows thecharacter ofbackground space-time changing with time. Ⅵ陷have extended our study to thedynamic BTZ black hole in2+1 dimension Besides finding the relationship between QNM ofscalar field inthisspace—time backEround and time,we alsogot the difierence between 0uasi—Nornml Modes inAdS space—time and in asymptotically fiatspace。time. Key Words Quasi-Normal modes field AdS space-time ll 第一章简介§“声音”?”|或者说,有没有一些振荡模式来表征黑洞偏离初始平衡状态后随时问的演化行为?通过对Schwarzschild黑洞扰动的数值研究,Vishveshwara认为答案是肯定的。1。事文上,在某一个特定的时间段内,初