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Geometrical structures in black holes
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Geometriska strukturer i svarta hål (Swedish)
Abstract [en]

We solve the Einstein field equations with a negative cosmological constant $(\Lambda < 0)$ where the solution gives us topological black holes. Furthermore, we define the surface gravity's relation to the black hole temperature and express the mass of the black holes. At the singularity we see that the Euclidean metric possesses a conical structure which indicates that the black hole is unstable everywhere except the singularity. Using the Euclidean metric to formulate the temperature and the mass of the black holes we can see that the heat capacity is positive and therefore these black holes are stable.

Abstract [sv]

Vi löser Einstein field equations med en negativ kosmologisk konstant $(\Lambda < 0)$ där lösningarna ger oss topologiska svarta hål. Dessutom kan vi definiera ytgravitationens relation till svarta hålens temperature och formulera massan. Vid singulariteten ser vi att den euklidiska metriken besitter en konisk struktur som indikerar att dessa svarta hål är instabila överallt förutom vid singulariteten. Genom att använda euklidiska metriken kan vi definiera temperaturen och massan av dessa svarta hål, som vi sedan kan använda för att se att värmekapaciteten är positiv vilket visar att dessa svarta hål är stabila.

Place, publisher, year, edition, pages
2014. , 31 p.
Series
FYSAST, FYSKAND1015
Keyword [en]
Black holes, topological black holes, differential geometry, General Relativity, Euclidean formalism, Schwarzschild solution, Topological censorship theorem, Black hole thermodynamics
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-227473OAI: oai:DiVA.org:uu-227473DiVA: diva2:729737
Educational program
Bachelor Programme in Physics
Supervisors
Examiners
Available from: 2014-06-26 Created: 2014-06-26 Last updated: 2014-06-26Bibliographically approved

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CiteExportLink to record
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  • apa
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