Kvazinormalni modovi crnih rupa

master's thesis

• Title (english): Quasinormal modes of black holes
• Author: Lovro Dulibić
• Mentor: Ivica Smolić (mentor)
• Committee member: Ivica Smolić (predsjednik povjerenstva)
• Committee member: Maro Cvitan (član povjerenstva)
• Committee member: Vernesa Smolčić (član povjerenstva)
• Committee member: Sanjin Benić (član povjerenstva)
• Committee member: Krešimir Pavlovski (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2022-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

Prostorvremena crnih rupa stabilna su rješenja Einsteinove jednadžbe. Uslijed neke perturbacije one će se vratiti u prvobitno stanje prilikom čega će izgubiti dio energije zračenjem gravitacijskih valova. Svojstveni načini titranja disipativnih sustava, stoga i crnih rupa, nazivaju se kvazinormalni modovi. U ovome radu dan je teorijski pregled kvazinormalnih modova kroz teoriju perturbacija crnih rupa. U prvom ne iščezavajućem redu promotrena je dinamika perturbacije prostorvremena te dinamika skalarnih i vektorskih polja uronjenih u pozadinsko prostorvrijeme Schwarzschildove crne rupe. Proučeno je nekoliko poznatih, aproksimativnih i egzaktnih, metoda računanja kvazinormalnih modova te su njihovi rezultati također i reproducirani.

Abstract (english)

Black hole spacetimes are stable solutions to Einstein’s equations. After a perturbation they will return to their equilibrium state during which they will lose energy through gravitational radiation. Eigenmodes of dissipative systems, including black holes, are called quasinormal modes. In this thesis, a theoretical overview of quasinormal modes is given through black hole perturbation theory. The dynamics of spacetime perturbations, as well as scalar and vector field dynamics in Schwarzschild spacetime is analysed in leading order of perturbation theory. A couple of well-known, approximative and exact, methods of calculating quasinormal modes is given and their results are reproduced.

• Keywords: kvazinormalni modovi; crne rupe; teorija perturbacija; Schwarzschildovo prostorvrijeme
• Keywords (english): quasinormal modes; black holes; perturbation theory; Schwarzschild spacetime
• Language: croatian
• URN:NBN: urn:nbn:hr:217:019333
• Study programme: Title: Physics; specializations in: Research; Course: Research; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2022-10-19 08:56:45