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doctoral thesis
7
0
Analogue cosmology in relativistic fluids
Dijana Tolić (2015)
University of Zagreb
Faculty of Science
Department of Physics
Cite this item:
https://urn.nsk.hr/urn:nbn:hr:217:650134
Metadata
Title
Analogna kozmologija u relativističkim fluidima
Author
Dijana Tolić
Mentor(s)
Nevenko Bilić
Abstract
Glavni ciljevi ove disertacije su postići vjerno simuliranje širenja svemira pomoću analognih modela gravitacije i istražiti doprinos analogne kozmološke produkcije čestica u relativističkom hadronskom fluidu. Koristeći ideju da je zakrivljenost u geometriji prostora moguće postići dinamikom fluida, opisani su učinci klasične gravitacije u analognom relativističkom sustavu. Dan je teorijski recept kako u realističnom laboratoriju visokih energija reproducirati gravitacijske fenomene koje nije moguće direktno opaziti u prirodi, kao što su Hawkingovo zračenje, vremenski ovisne konfiguracije crnih rupa i dinamika evolucije širećeg svemira. Geometrija i evolucija analognog prostor-vremena određene su jednadžbama mehanike fluida, za razliku od opće teorije relativnosti gdje ovu ulogu igraju Einsteinove jednadžbe. Kao prirodni medij za relativističke analogne modele proučavamo hadronsku materiju nastalu u sudarima teških iona. Ekstremni uvjeti visoke gustoće i temperature u kojima nastaje hadronska materija odgovaraju uvjetima u ranom svemiru neposredno nakon Velikog Praska. Pokazuje se kako propagacija bezmasenih piona u hadronskom fluidu simulira analogni svemir geometrijski ekvivalentan Friedmann-Robertson-Walkerovom (FRW) prostor-vremenu s negativnom prostornom zakrivljenošću. Dobiveni su uvjeti pod kojima se u hadronskom fluidu formiraju uhvaćene plohe te je izračunata temperatura analognog Hawkingovog zračenja iz uhvaćenog horizonta. Napravljena je kvantitativna usporedba analogne kozmološke produkcije čestica i analognog Hawkingovog zračenja.
Keywords
analog gravity
FRW universe
Hawking effect
trapped horizon
cosmological particle production
Parallel title (English)
Analogue cosmology in relativistic fluids
Committee Members
Nevenko Bilić
(committee chairperson)
Granter
University of Zagreb
Faculty of Science
Lower level organizational units
Department of Physics
Place
Zagreb
State
Croatia
Scientific field, discipline, subdiscipline
NATURAL SCIENCES
Physics
UDK
53
NATURAL SCIENCES
Physics
Study programme type
university
Study level
postgraduate
Study programme
Physics
Academic title abbreviation
dr. sc.
Genre
doctoral thesis
Language
Croatian
Defense date
2015-05-20
Parallel abstract (English)
The main objectives of this research are to faithfully simulate the expansion of the universe using analog models of gravity and investigate the contribution of the analog cosmological particle production in a relativistic hadronic fluid. Using the idea that a curved space geometry can be achieved by the means of fluid dynamics, the effects of classical gravity in relativistic analog system are described. A theoretical recipe is given how to reproduce, in a high-energy realistic laboratory, gravitational phenomena that can not be directly observed in nature, such as the Hawking radiation, time-dependent configurations of black holes and evolution dynamics of an expanding universe. Geometry and evolution of analog spacetime are determined by the equations of fluid mechanics, in contrast to the general relativity where they are described by Einstein’s equations. As a natural medium for relativistic analog models we study the hadron matter created in relativistic heavy ion collisions. Extreme conditions of very high density and temperature in which hadronic matter is created correspond to the conditions in the early universe shortly after the Big Bang. It is shown that propagation of massles pions in the hadronic fluid simulates an analog universe which is geometrically equivalent to the Friedmann-Robertson- Walker (FRW) spacetime with negative spatial curvature. We find the conditions under which trapped surfaces are formed and calculate the analog Hawking radiation temperature from the trapped horizon. A quantitative comparison of analogue cosmological particle production and analogue Hawking radiation is given.
Parallel keywords (Croatian)
analogna gravitacija
FRW svemir
Hawkingov učinak
uhvaćeni horizont
kozmološka produkcija čestica
Extent
89 str.
Version
accepted version
Resource type
text
Access condition
Access restricted to students and staff of home institution
Terms of use
Note
accepted version
URN:NBN
https://urn.nsk.hr/urn:nbn:hr:217:650134
Committer
Iva Čizmin