Gravitacijski Chern-Simons članovi

master's thesis

• Title (english): Gravitational Chern-Simons terms
• Author: Tamara Štemberga
• Mentor: Maro Cvitan (mentor)
• Committee member: Maro Cvitan (predsjednik povjerenstva)
• Committee member: Ivica Smolić (član povjerenstva)
• Committee member: Nikola Poljak (član povjerenstva)
• Committee member: Davor Horvatić (član povjerenstva)
• Committee member: Mihael Makek (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2014-09-10, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

Konstruiramo formulu za entropiju crne rupe u prisutnosti Chern-Simons članova u akciji za proizvoljnu neparnu dimenziju prostor-vremena, D = 4k - 1, k E N. Dodatni članovi u akciji mogu biti čisti gravitacijaki članovi ili miješani baždarno-gravitacijski. Konačna formula za entropiju kovarijantna je na lokalne difeomorfizme bifurkacijske plohe i infinitezimalne baždarne transformacijenormalnog svežnja. Nadalje, analiziramo globalna svojstva Chern-Simons članova te zaključujemo da konstanata vezanja mora biti kvantizirana. Restrikcijom dozvoljene geometrije, moguće je relaksirati uvjet kvantizacije konstante vezanja. U određenim slučajevima relaksirani uvjet kvantizacije može zabraniti korištenje formule za entropiju. Osim toga, diskutiramo kovarijantnost formule entropije obzirom na globalne difeomorfizme i konačne baždarne transformacije. Zaključujemo da relaksirano Chern-Simons vezanje opet može imati posljedice na dobru određenost entropije.

Abstract (english)

We construct a formula for the black hole entropy in the presence of Chern- Simons terms in the action for an arbitrary odd-dimensional spacetime, D = 4k - 1, k E N. Additional terms in action can be either pure gravitational Chern-Simons terms or mixed gauge-gravitational ones. The final entropy formula is covariant with respect to the local diffeomorphisms of the bifurcation surface and infinitesimal gauge transformations of the normal bundle. Furthermore, we analyze global aspects of Chern-Simons terms and conclude that the coupling constant has to be quantized. Restricting the allowed geometry, it is possible to relax the coupling quantization condition. In particular cases, relaxed quantization condition may forbid the use of entropy formula. In addition, we discuss the covariance of entropy formula with respect to global diffeomorphisms and global gauge transformations. Again, we deduce that relaxed Chern-Simons couplings may have consequences on well-definiteness of the entropy formula.

• Keywords: gravitacijski Chern-Simons članovi
• Keywords (english): Gravitational Chern-Simons terms
• Language: croatian
• URN:NBN: urn:nbn:hr:217:824936
• Study programme: Title: 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 resource: Text
• File origin: Born digital
• Access conditions: Access restricted to students and staff of home institution
• Created on: 2017-06-19 07:23:57