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master's thesis
Teleparalelna gravitacija
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:145800
Benić, Luka
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Benić, L. (2023). Teleparalelna gravitacija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:145800

Benić, Luka. "Teleparalelna gravitacija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:145800

Benić, Luka. "Teleparalelna gravitacija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:145800

Benić, L. (2023). 'Teleparalelna gravitacija', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 March 2025, https://urn.nsk.hr/urn:nbn:hr:217:145800

Benić L. Teleparalelna gravitacija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2025 March 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:145800

L. Benić, "Teleparalelna gravitacija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:145800

Metadata
TitleTeleparalelna gravitacija
Title (english)Teleparallel gravitation
AuthorLuka Benić
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberPetar Žugec (član povjerenstva)
Committee memberDavor Horvatić (član povjerenstva)
Committee memberVernesa Smolčić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2023-09-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Opća teorija relativnosti, kao klasična teorija gravitacije, bazira se na jedinstvenoj Levi-Civitinoj koneksiji, koja je u potpunosti određena metričkim tenzorom dane glatke mnogostrukosti. Jedinstvenost Levi-Civitine koneksije temelji se na pretpostavkama iščezavajućeg tenzora torzije i kompatibilnosti metrike s kovarijantnom derivacijom, odnosno iščezavajućeg tenzora nemetričnosti. Posljedično u takvom formalizmu gravitacija je u potpunosti opisana svojstvima Riemannovog tenzora... More zakrivjenosti, odnosno zakrivljenošću promatranog prostorvremena. U ovom radu razmotramo posljedice popuštanja navedenih pretpostavki te dolazimo do zaključka da postoji dinamička ekvivalentnost opće teorije relativnosti s teorijama koje se temelje na iščezavanju Riemannovog tenzora zakrivljenosti, a na neiščezavanju ili istovremeno tenzora torzije i tenzora nemetričnosti ili na neiščezavanju samo tenzora nemestričnosti ili na neiščezavanju samo tenzora torzije. Također pokazujemo da u ovakvom formalizmu postoji mogućnost promatranja klasične gravitacije kao baždarne teorije bazirane na Liejevoj grupi translacija. Nadalje, promatramo pripadne modificirane teorije gravitacije te pokazujemo da time dolazimo do novih dinamičkih modela, koji se općenito razlikuju od dinamičkih modela dobivenih modificiranim teorijama opće teorije relativnosti. Tako dobiveni dinamički modeli su intenzivan predmet istraživanja, naročito u kozmološkim modelima. Less
Abstract (english)
The general theory of relativity, as a classical theory of gravitation, is based on a unique Levi-Civita connection, which is entirely given by the metric tensor of a given smooth manifold. The uniqueness of the Levi-Civita connection is based on the assumptions of vanishing torsion tensor and compatibility of the metric with the covariant derivative, or in other words vanishing non-metricity tensor. As a consequence of this formalism, gravitation is entirely given by the... More properties of the Riemann curvature tensor, or with the curvature of a given spacetime. In this text, we are exploring the consequences of relaxing the aforementioned assumptions and we conclude that there exists a dynamical equivalence between the general theory of relativity with theories based on a vanishing Riemann curvature tensor, and simultaneously nonvanishing torsion and non-metricity tensors, or with only non-metricity as a nonvanishing tensor, or with only torsion as a nonvanishing tensor. We also show that in this formalism there is a possibility of treating classical gravitation as a gauge theory based on the Lie group of translations. Furthermore, we look at given modified theories of gravitation in this formalism and we see that we end up with new dynamical models, which are in general different from dynamical models obtained from modified theories of the general theory of relativity. Those dynamical models are the subject of intense research, especially in the cosmological models. Less
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:145800
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 on2023-11-21 13:24:01
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