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master's thesis
Prostorno-vremenski singulariteti
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:738463
Paulišić, Mateo
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Paulišić, M. (2016). Prostorno-vremenski singulariteti (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:738463

Paulišić, Mateo. "Prostorno-vremenski singulariteti." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:738463

Paulišić, Mateo. "Prostorno-vremenski singulariteti." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:738463

Paulišić, M. (2016). 'Prostorno-vremenski singulariteti', Master's thesis, University of Zagreb, Faculty of Science, accessed 04 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:738463

Paulišić M. Prostorno-vremenski singulariteti [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 04] Available at: https://urn.nsk.hr/urn:nbn:hr:217:738463

M. Paulišić, "Prostorno-vremenski singulariteti", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:738463

Metadata
TitleProstorno-vremenski singulariteti
Title (english)Space-time singularities
AuthorMateo Paulišić
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberMirko Planinić (član povjerenstva)
Committee memberVernesa Smolčić (član povjerenstva)
Committee memberMatko Milin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2016-07-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Već je prvo egzaktno riješenje Einsteinovih jednadžbi pokazalo divergiraju će ponašanje metrike za neke vrijednosti svojih parametara. Iako je bilo potrebno nekoliko desetljeća da bi analiza pokazala koje su divergencije "prave" a koje samo artefakt koordinatnog sustava, naznaka singulariteta bila je prisutna. U ovom radu definiramo singularitete, na konkretnom primjeru pokazujemo kako dana definicija funkcionira i uvodimo veliku paletu alata kojima je moguće analizirati strukturu prostor-vremena bez ulaženja u detalje konkretnih rješenja. Konačno, prezentiramo, propitujemo i dokazujemo jedan od najvažnijih teorema o singularitetima (Hawking, Penrose 1970.) koji nam uz određena opravdanja daje indikacije da je i naše prostor-vrijeme singularno.
Abstract (english)
The first ever exact solution of Einstein field equations already gave a glimpse of a phenomenon later to be called a singularity. In this work, we will present a carefully motivated definition of singularities, show how it can be used on one of the known exact solutions and then move on to enquiring how often singularities are among non-special space-times. We will introduce a plethora of tools for analyzing models of space-times, investigate their properties, and finally, put them to use in examining and proving one of the most important singularity theorems in the 20th century (Hawking, Penrose 1970). Along with physics-motivated arguments, this theorem will give us an argument to believe that our space-time is also singular.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:738463
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 conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-03-04 17:17:48