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master's thesis
Newton-Cartanova gravitacija
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:530124
Ćesić, Ivana
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Ćesić, I. (2019). Newton-Cartanova gravitacija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:530124

Ćesić, Ivana. "Newton-Cartanova gravitacija." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:530124

Ćesić, Ivana. "Newton-Cartanova gravitacija." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:530124

Ćesić, I. (2019). 'Newton-Cartanova gravitacija', Master's thesis, University of Zagreb, Faculty of Science, accessed 08 March 2025, https://urn.nsk.hr/urn:nbn:hr:217:530124

Ćesić I. Newton-Cartanova gravitacija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2025 March 08] Available at: https://urn.nsk.hr/urn:nbn:hr:217:530124

I. Ćesić, "Newton-Cartanova gravitacija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:530124

Metadata
TitleNewton-Cartanova gravitacija
Title (english)Newton-Cartan gravity
AuthorIvana Ćesić
MentorAthanasios Chatzistavrakidis (mentor)
MentorMaro Cvitan (mentor)
Committee memberMaro Cvitan (predsjednik povjerenstva)
Committee memberAthanasios Chatzistavrakidis (član povjerenstva)
Committee memberMatko Milin (član povjerenstva)
Committee memberIvica Smolić (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2019-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Geometrical reformulations of non-relativistic gravity, such as Newton- Cartan, have seen a surge in popularity due to their applications in holography and condensed matter physics. In this thesis, we discuss the construction of Newton-Cartan gravity through a gauging procedure of the Bargmann algebra, which is the central extension of the Galilei algebra. In order to achieve this goal, we recall the vielbein formalism of general relativity and how a gauging of the Poincaré algebra results in its off shell formulation. The procedure is then generalized in the non-relativistic case and it yields the transformation rules for all fields and the corresponding curvatures.
Abstract (croatian)
Geometrijskim reformulacijama nerelativističke gravitacije, poput Newton- Cartanove, narasla je popularnost zbog njihovih primjena u holografiji i fizici čvrstog stanja. Ovaj diplomski rad bavi se konstrukcijom Newton-Cartanove gravitacije baždarenjem Bargmannove algebre, koja je centralno proširena Galileieva algebra. Da bismo to postigli, prvo se prisjećamo vielbein formalizma opće teorije relativnosti te kako se baždarenjem Poincaréove algebre dobije navedena formulacije van ljuske. Ista procedura koristi se za nerelativistički slučaj te daje pravila transformacije svih baždarnih polja i pripadnih zakrivljenosti.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:217:530124
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
Embargo expiration date: 2020-09-27
Terms of useLicence In copyright icon
Created on2020-01-08 09:02:21