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master's thesis
Birkhoffov teorem
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:062893
Mesić, Benjamin
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Mesić, B. (2014). Birkhoffov teorem (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:062893

Mesić, Benjamin. "Birkhoffov teorem." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:062893

Mesić, Benjamin. "Birkhoffov teorem." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:062893

Mesić, B. (2014). 'Birkhoffov teorem', Master's thesis, University of Zagreb, Faculty of Science, accessed 07 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:062893

Mesić B. Birkhoffov teorem [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 November 07] Available at: https://urn.nsk.hr/urn:nbn:hr:217:062893

B. Mesić, "Birkhoffov teorem", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:062893

Metadata
TitleBirkhoffov teorem
Title (english)Birkhoff's theorem
AuthorBenjamin Mesić
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberVernesa Smolčić (član povjerenstva)
Committee memberTomislav Marketin (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2014-09-11, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U ovom radu ćemo proučavati Birkhoffov teorem i njegova poopćenja. Prvo poglavlje ćemo posvetiti analizi teorema u njegovom izvornom obliku koji se veže uz Einsteinovu teoriju gravitacije. To će biti ujedno i naš zadatak na početku drugog poglavlja prilikom kojeg ćemo i dalje promatrati sferno simetri čna rješenja Einsteinove jednadžbe, najprije za općeniti broj dimenzija, a nakon toga i uz neiščezavajući tenzor energije i impulsa. Zatim ćemo analizirati ponašanje Birkhoffovog teorema u Lovelockovoj te Chern-Simonsovoj gravitaciji. Tema posljednjeg poglavlja bit će Birkhoffov teorem uz približne simetrije.
Abstract (english)
In this thesis we investigate Birkhoff’s theorem and its generalizations. In the first part, we present the theorem in its original form. In the second part of the thesis we examine the behaviour of the theorem in arbitrary number of dimensions not just for the Einstein theory but Lovelock and Chern-Simons theory as well. In the case of Einstein theory (in 4D) we additionally investigate the situation with non-vanishing tensor of energy and momentum, i.e. non-vacuum case. In the last part of the thesis we present Birkhoff’s theorem with weakening the assumption of spherical symmetry.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:062893
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2017-06-14 15:52:03