prikaz prve stranice dokumenta Konformna simetrija u gravitaciji
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master's thesis
Konformna simetrija u gravitaciji
2021. urn:nbn:hr:194:861906
Bartulović, Luka
University of Rijeka
Faculty of Physics

Cite this document

Bartulović, L. (2021). Konformna simetrija u gravitaciji (Master's thesis). Rijeka: University of Rijeka. Retrieved from https://urn.nsk.hr/urn:nbn:hr:194:861906

Bartulović, Luka. "Konformna simetrija u gravitaciji." Master's thesis, University of Rijeka, 2021. https://urn.nsk.hr/urn:nbn:hr:194:861906

Bartulović, Luka. "Konformna simetrija u gravitaciji." Master's thesis, University of Rijeka, 2021. https://urn.nsk.hr/urn:nbn:hr:194:861906

Bartulović, L. (2021). 'Konformna simetrija u gravitaciji', Master's thesis, University of Rijeka, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:194:861906

Bartulović L. Konformna simetrija u gravitaciji [Master's thesis]. Rijeka: University of Rijeka; 2021 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:194:861906

L. Bartulović, "Konformna simetrija u gravitaciji", Master's thesis, University of Rijeka, Rijeka, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:194:861906

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Metadata
TitleKonformna simetrija u gravitaciji
Title (english)Conformal Symmetry in Gravity
AuthorLuka Bartulović
MentorPredrag Dominis Prester (mentor)
Committee memberSaša Mićanović (predsjednik povjerenstva)
Committee memberPredrag Dominis Prester (član povjerenstva)
Committee memberTomislav Terzić (član povjerenstva)
GranterUniversity of Rijeka
(Faculty of Physics)
Rijeka
Defense date and country2021-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U ovom radu dajemo pregled dviju generalizacija Einsteinove gravitacije: općenite klasične gravitacije četvrtog reda u derivacijama s Einstein-Hilbertovim članom i njezinog specijalnog slučaja - konformne gravitacije, u kojoj glavnu ulogu igra Weylov tenzor. Proučit ćemo vakuumska rješenja unutar ovih teorija kao i jednostavni primjer ne-vakuumskog rješenja. Nadalje, razmotrit ćemo čestične sastave u ovim teorijama i pritom vidjeti pojavu problematičnih čestica negativne energije ili vremenski nestabilnih rješenja. Izvest ćemo izraz za rotacijske brzine zvijezda u galaksijama u kontekstu konformne gravitacije te proučiti tvrdnju da u ovom slučcaju nije potrebno uvođenje tamne materije za objašnjenje rotacijskih krivulja galaksija, kao i najvažnije kritike ovog pristupa: utjecaj skalarnog polja na same orbite i ekvivalentnost Mannheim-Kazanasove i Schwarzschild-de-Sitterove metrike.
Abstract (english)
In this thesis we review two generalizations of Einstein gravity: classical higher derivative gravity that includes Einstein-Hilbert action and it’s special case - conformal gravity, in which a key part is being played by a Weyl tensor. We will study vacuum solutions in these theories as well as a simple example of non-vacuum solution. Furthermore, we will study particle content of these theories and in doing so observe the appearance of problematic particles with negative energy or runaway solutions. We will derive an expression for rotational velocities of stars in galaxies in context of conformal gravity and examine a claim that in this case there is no need to introduce dark matter in order to explain galaxy’s rotation curves, as well as most important criticisms of this approach: scalar field influence on orbits and equivalence of Mannheim-Kazanas and Schwarzschildde-Sitter metrics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:194:861906
Study programmeTitle: physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-10-21 09:13:16