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master's thesis
Geometrijske nejednakosti u općoj teoriji relativnosti
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:130887
Picukarić, Mate
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Picukarić, M. (2020). Geometrijske nejednakosti u općoj teoriji relativnosti (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:130887

Picukarić, Mate. "Geometrijske nejednakosti u općoj teoriji relativnosti." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:130887

Picukarić, Mate. "Geometrijske nejednakosti u općoj teoriji relativnosti." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:130887

Picukarić, M. (2020). 'Geometrijske nejednakosti u općoj teoriji relativnosti', Master's thesis, University of Zagreb, Faculty of Science, accessed 04 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:130887

Picukarić M. Geometrijske nejednakosti u općoj teoriji relativnosti [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 November 04] Available at: https://urn.nsk.hr/urn:nbn:hr:217:130887

M. Picukarić, "Geometrijske nejednakosti u općoj teoriji relativnosti", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:130887

Metadata
TitleGeometrijske nejednakosti u općoj teoriji relativnosti
Title (english)Geometric inequalities in general relativity
AuthorMate Picukarić
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
Committee memberKrešimir Kumerički (član povjerenstva)
Committee memberEmil Tafra (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2020-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Kod Kerr-Newmanovog rješenja Einsteinove jednadžbe masa, angularni moment i naboj zadovoljavaju određene nejednakosti. Dotične nejednakosti usko su povezane s pretpostavkom kozmičke cenzure te ih je moguće primjeniti i na dinamičke crne rupe zbog čega je njihovo proučavanje toliko interesantno. Jedna od takvih nejednakosti je teorem o pozitivnosti mase. U ovom radu izložit ćemo Wittenov dokaz teorema o pozitivnosti mase i uvesti alate potrebne za njegovo razumijevanje. Osim toga, pobliže ćemo objasniti pojam geometrijskih nejednakosti, navesti primjere i motivaciju iza proučavanja takvih nejednakosti kao i suvremene rezultate te neriješene probleme.
Abstract (english)
In Kerr-Newman’s solution of Einstein’s equation, mass, angular momentum and charge satisfy certain inequalities. These inequalities are closly related with the cosmic censorship conjecture which makes them particularly interesting to study. One such inequality is the positive mass theorem. In this work we will studyWitten’s proof of the positive mass theorem and introduce tools required for it’s understanding. We will also explain the meaning of geometric inequalities, present examples and motivation behind their studying, and list some current results and open problems in this subject.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:130887
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 on2021-01-08 12:16:27