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master's thesis
Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:329395
Vugrinec, Matej
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Vugrinec, M. (2022). Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:329395

Vugrinec, Matej. "Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:329395

Vugrinec, Matej. "Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:329395

Vugrinec, M. (2022). 'Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:329395

Vugrinec M. Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 November 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:329395

M. Vugrinec, "Modeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:329395

Metadata
TitleModeli gravitacije u više od 4 dimenzije i ograničenja na njihove parametre pomoću opažanja Event Horizon Telescope-a
Title (english)Models of gravity in more than 4 dimensions and constraints on their parameters from Event Horizon Telescope observations
AuthorMatej Vugrinec
MentorMaro Cvitan (mentor)
Committee memberMaro Cvitan (predsjednik povjerenstva)
Committee memberIvica Smolić (član povjerenstva)
Committee memberVernesa Smolčić (član povjerenstva)
Committee memberAmon Ilakovac (član povjerenstva)
Committee memberVibor Jelić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2022-10-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Modeli gravitacije u više od četiri dimenzije daju efektivno proširenje na teoriju gravitacije kakvu je postulirao Einstein. Pomoću njih je moguće ispitati posljedice koje bi postojanje dodatnih dimenzija ostavilo na naš svemir. U ovom radu bavimo se upravo takvim modelima, s naglaskom na peterodimenzionalnim ”brane-world” modelima. Krećemo od povijesnog razvoja, počevši s Einsteinovom općom teorijom relativnosti i prvih proširenja u više dimenzija, koja se pripisuju Kaluzi i Kleinu i dolazimo do sve modernijih modela u više dimenzija, konkretno Randall-Sundrum modela. Nakon toga, izvodimo efektivne jednadžbe polja koje vrijede u ”brane-world” modelima. Poslije jednadžbi polja, osvrćemo se na anti-de Sitter prostorvremena i formalnije predstavljamo Randall-Sundrum modele. U sljedećih nekoliko poglavlja poslije toga, promatraju se posljedice koje bi postojanje jedne dodatne prostorne dimenzije ostavilo na Newtonov zakon gravitacije, metrike crnih rupa i na kozmologiju. Na kraju, opisujemo kako se opažanja Event Horizon Telescope-a mogu povezati s teorijom iza ”brane-world” modela i pomoću tih opažanja stavljene su neke gornje granice na parametre modela. Isto tako, naglašavamo važnost detekcije gravitacijskih valova pri ograničavanju parametara takvih modela te njihovu važnost u potrazi za novom fizikom.
Abstract (english)
Models of gravity in more than four dimensions offer a way to find an effective theory of gravity beyond the one postulated by Einstein. By using them as toy theories, we can determine the consequences that the existence of extra dimensions would imprint on our universe. This work is devoted to those models, with the emphasis on five dimensional ”brane-world” models. We begin with an overview of history, starting from Einstein’s general relativity and its first modifications which include extra dimensions - credited to Kaluza and Klein, up to Randall-Sundrum models. After that, we derive effective field equations in ”brane-world” models. We then deal with anti-de Sitter spacetimes and formally present Randall-Sundrum models. In the following chapters we explore the consequences of one extra spatial dimension on Newton’s law of gravity, different black hole metrics and on the cosmology. We finally describe how the observations made by the Event Horizon Telescope can be used in conjunction with the theory behind ”brane-world” models and using those observations we constrain some parameters of those models. We also emphasise the importance of detecting gravitational waves and their use in constraining parameters of ”brane-world” models and more generally, their importance in the search for new physics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:329395
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 on2023-01-18 17:00:17