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master's thesis
Spinori u općoj teoriji relativnosti
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:087457
Sigmund, Ivan
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Sigmund, I. (2014). Spinori u općoj teoriji relativnosti (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:087457

Sigmund, Ivan. "Spinori u općoj teoriji relativnosti." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:087457

Sigmund, Ivan. "Spinori u općoj teoriji relativnosti." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:087457

Sigmund, I. (2014). 'Spinori u općoj teoriji relativnosti', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:087457

Sigmund I. Spinori u općoj teoriji relativnosti [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:087457

I. Sigmund, "Spinori u općoj teoriji relativnosti", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:087457

Metadata
TitleSpinori u općoj teoriji relativnosti
Title (english)Spinors in General theory of relativity
AuthorIvan Sigmund
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
Committee memberTomislav Marketin (član povjerenstva)
Committee memberVernesa Smolčić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2014-09-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U ovom radu ćemo izgraditi spinorni formalizam klasične opće teorije relativnosti, od formalnih algebarskih svojstava, do ponašanja na mnogostrukosti. U tom formalizmu su definirane sve poznate tenzorske veličine, kao Riemannov tenzor i tenzor elektromagnetskog polja. Dobivamo spinorni ekvivalent Maxwellovih jednadžbi, te ekvivalent Einsteinovih jednadžbi polja. Komponente kovarijantne derivacije spinorne baze daju 12 kompleksnih skalara, koje pomoću Newman-Penroseovih jednadžbi opisuju vrijemeprostor. Pomoću spinornog formalizma postuliramo jednadžbu gibanja bezmasenih čestica proizvoljnog spina u zakrivljenom vrijeme-prostoru. Pokazujemo uporabu spinornog formalizma u opisu svjetlosnih kongruencija i u dobivanju Goldberg-Sachsovog teorema.
Abstract (english)
In this thesis the spinor formalism of the classic general theory of relativity is built, beginning with formal algebraic properties, up to the behavior on manifolds. All the famous tensorial objects like the Riemann tensor and the electromagnetic field tensor are redefined inside the spinor formalism. The spinor equivalents of the Maxwell field equations, and the Einstein field equations are found. We get 12 complex components of the covariant derivative which are enough to describe the space time, with the help of Newman- Penrose field equations. We postulate the equation of motion of massless particles of arbitrary spin in curved space-time. Also, The use of the spinor formalism is shown in the description of light congruences and in the proof of the Goldberg-Sachs theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:087457
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 on2017-06-16 11:42:35