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Closed Timelike Curves in Exact Solutions
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This project aims to study general relativity to the extent to understand the occurrence and behaviors of closed timelike curves (CTCs) in several exact solutions of Einstein’s field equations. The rotating black hole solution, the Gödel universe and the cosmic string solutions are studied in detail to show how CTCs arise in these spacetimes. The chronology-violationing paradoxes and other unphysical aspects of CTCs are discussed. The spacetimes where CTCs arise possess properties which are argumented to be unphysical, such as lack of asymptotic flatness and being innite models. With quantum computational networks it is possible to resolve the paradoxes which CTCs evoke. With all these attempts of resolving CTCs, our conclusion is that CTCs exist quantum mechanically, but there is a mechanism which inhibits them to be detected classically.

Abstract [sv]

Detta projekt åsyftar att studera allmän relativitet i den grad att kunna förstå uppkomsten och företeelsen av tidsliknande slutna kurvor (CTC) i några exakta lösningar till Einsteins ekvationer. Dessa lösningar inkluderar Gödel universen, kosmiska strängar och det roterande svarta hålet, där CTC studeras i mer detalj. CTC är kronologi-kränkande företeelser och paradoxen som uppstår presenteras, samt de argument som ligger till grund till att CTC inte är fysikaliskt verkliga objekt. De tidrum där CTC uppkommer delar gemensamma egenskaper som anses ofysikaliska, som att vara icke asymptotiskt platta tidrum, samt att vara oändliga modeller. Med kvantinformatiska nätverk kan CTC illustreras och de klassiska kronologi-paradoxen kan rättas ut. Slutsatsen är att CTC existerar kvantmekaniskt, men det fnns en mekanism i verkligheten som förhindrar dessa att bli detekterade klassiskt.

Place, publisher, year, edition, pages
2017. , 54 p.
Series
FYSAST, FYSKAND1070
Keyword [en]
closed timelike curves, time travel, Gödel-type universe, cosmic strings, quantum mechanics and closed timelike curves
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:uu:diva-324693OAI: oai:DiVA.org:uu-324693DiVA: diva2:1111006
Educational program
Bachelor Programme in Physics
Supervisors
Examiners
Available from: 2017-07-06 Created: 2017-06-16 Last updated: 2017-07-06Bibliographically approved

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Astronomy, Astrophysics and Cosmology

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