禁漫天堂

Abstract: If disturbed, black holes 鈥渟ettle鈥� with a very characteristic gravitational wave (GW) signal, called quasi鈥恘ormal ringing (QNR). This is typically observed at the late stages of GW emission from a binary black hole merger. Computing these frequencies from theory is,therefore, a very important problem in gravitational wave physics. We will explore an application of the 鈥渟hooting鈥� method,asused in atomic physics, to computationally find the frequencies that satisfy the conditions of the QNR. Computation of the QNR for the simplest black hole may be reduced down to solving a wave equation with a simple potential andradiative boundary conditions. For the potential, we areusing the Poschl鈥怲ellerscalar field as a proxy to prove the viability of the shooting method in black hole physics. We were able to reduce the original partial differential wave equation into an ordinary differential, eigenvalue equation by substituting out the equation鈥檚 time dependence. By implementing a Runge鈥怟utta鈥�4 numerical method, the eigenvalue 鈥渕odes鈥� were found to a high order of accuracy and precision. Higher nodes for the Poschl鈥怲eller potential require much smaller step sizes and samples; thus, we implemented a parallelization through OpenMP to greatly increase the efficiency of the program when run on multi鈥恈ore computers. This result exemplifies the viability, of the shooting method, in solving for QNR frequencies and, in the future, can be applied to a true black hole potential.

Advisor: Dr. Gaurav Khanna

Full presentation: 2020-MacKenzie_K