Gravitacijski valovi u prostorvremenu s pozitivnom kozmološkom konstantom

master's thesis

• Title (english): Gravitational waves in spacetime with positive cosmological constant
• Author: Fran Ilčić
• Mentor: Ivica Smolić (mentor)
• Committee member: Ivica Smolić (predsjednik povjerenstva)
• Committee member: Maro Cvitan (član povjerenstva)
• Committee member: Petar Žugec (član povjerenstva)
• Committee member: Amon Ilakovac (član povjerenstva)
• Committee member: Krešimir Pavlovski (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2023-02-20, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

Gravitacijski valovi poznat su fenomen otkriven općom teorijom relativnosti. Nakon prvog Einsteinovog izvoda u lineariziranoj teoriji, njihova fizikalnost bila je upitna više desetljeća. Bondi-Sachsov formalizam otklonio je sumnje i dao baždarno neovisne rezultate u punoj teoriji za asimptotski ravne prostore. Kako su opažanja pokazala da naš svemir nije asimptotski ravan, već ima malu pozitivnu kozmološku konstantu Λ > 0, pokrenuo se razvoj teorije za asimptotski de Sitterove prostore. Iznosimo glavne metode i rezultate za obje vrste prostora i razmatramo poteškoće u razvoju pune teorije u Λ > 0 slučaju.

Abstract (english)

Gravitational waves are a well known phenomenon discovered by the means of general theory of relativity. After Einstein’s first derivation in linearized theory, their physicality was under question for multiple decades. Bondi-Sachs formalism resolved the suspicions and gave gauge independent results in full theory for asymptotically flat spaces. As observations have shown our universe not to be asymptotically flat, but to have a small positive cosmological constant Λ > 0, development of the theory in asymptotically de Sitter spaces began. We present the main methods and results in both cases and study the difficulties in development of the full theory in the Λ > 0 case.

• Keywords: gravitacijski valovi; pozitivna kozmološka konstanta; de Sitterov prostor; linearizirana gravitacija; Bondi-Sachsov formalizam
• Keywords (english): gravitational waves; positive cosmological constant; de Sitter space; linearized gravity; Bondi-Sachs formalism
• Language: croatian
• URN:NBN: urn:nbn:hr:217:840276
• 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: Open access
• Created on: 2023-04-20 11:51:54