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Black holes and trapped surfaces
Stockholm University, Faculty of Science, Department of Physics.
2014 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

The study of black holes is an important part of general relativity. However, the very definition of black holes is not completely satisfactory. Alternative definitions are based on the concept of trapped surfaces. This licentiate thesis is based on work with the aim to better understand the behaviour of such trapped surfaces.

The standard definition of a black hole and specific examples are reviewed, as well as the definition of trapped surfaces, various horizons related to trapped surfaces, and the trapping boundary. This serves as an introduction to two published papers. The first paper provides an exact model of a marginally trapped tube making a sudden jump outwards as matter is falling into the black hole. The second paper concerns the question of the location of the trapping boundary in the Oppenheimer-Snyder black hole.

Place, publisher, year, edition, pages
Ej publicerad , 2014. , 46 p.
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:su:diva-103353OAI: oai:DiVA.org:su-103353DiVA: diva2:716950
Presentation
2014-06-05, FB41, Fysikum, Albanova universitetscentrum, Roslagstullsbacken 21, Stockholm, 10:00 (English)
Opponent
Supervisors
Available from: 2014-05-19 Created: 2014-05-12 Last updated: 2014-05-19Bibliographically approved
List of papers
1. How trapped surfaces jump in 2+1 dimensions
Open this publication in new window or tab >>How trapped surfaces jump in 2+1 dimensions
2013 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 30, no 6, 065022Article in journal (Refereed) Published
Abstract [en]

When a lump of matter falls into a black hole it is expected that a marginally trapped tube when hit moves outwards everywhere, even in regions not yet in causal contact with the infalling matter. But to describe this phenomenon analytically in 3+1 dimensions is difficult since gravitational radiation is emitted. By considering a particle falling into a toy model of a black hole in 2+1 dimensions an exact description of this non-local behaviour of a marginally trapped tube is found.

Keyword
black hole, trapped surface
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:su:diva-103339 (URN)10.1088/0264-9381/30/6/065022 (DOI)
Available from: 2014-05-12 Created: 2014-05-12 Last updated: 2017-11-30
2. Trapped surfaces in Oppenheimer-Snyder black holes
Open this publication in new window or tab >>Trapped surfaces in Oppenheimer-Snyder black holes
2013 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 88, no 6, 064012Article in journal (Refereed) Published
Abstract [en]

The Oppenheimer-Snyder solution models a homogeneous round dust of cloud collapsing to a black hole. Inside its event horizon there is a region through which trapped surfaces pass. We try to determine exactly where the boundary of this region meets the center of the cloud. We present explicit examples of the relevant trapped (topological) spheres; they extend into the exterior vacuum region, and are carefully matched at the junction between the cloud and the vacuum.

National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:su:diva-103348 (URN)10.1103/PhysRevD.88.064012 (DOI)000324053700005 ()
Available from: 2014-05-12 Created: 2014-05-12 Last updated: 2017-12-05Bibliographically approved

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