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Trapped surfaces in Oppenheimer-Snyder black holes
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
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.

Place, publisher, year, edition, pages
2013. Vol. 88, no 6, 064012
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:su:diva-103348DOI: 10.1103/PhysRevD.88.064012ISI: 000324053700005OAI: oai:DiVA.org:su-103348DiVA: diva2:716762
Available from: 2014-05-12 Created: 2014-05-12 Last updated: 2017-12-05Bibliographically approved
In thesis
1. Black holes and trapped surfaces
Open this publication in new window or tab >>Black holes and trapped surfaces
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:nbn:se:su:diva-103353 (URN)
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
2. Shapes of Spacetimes: Collected tales of black holes
Open this publication in new window or tab >>Shapes of Spacetimes: Collected tales of black holes
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In theory, the existence of black holes is predicted by general relativity. In reality, there is a general consensus that they exist in space; in particular at the center of many galaxies. The theory of black holes has been around for decades, but there are still interesting questions calling for attention. This doctoral thesis and its four contributions touches upon some of these questions.

One challenging theoretical aspect of black holes lies in their definition, the event horizon. For several reasons, this definition is not satisfactory in many contexts, and alternative horizons based on the concept of trapped surfaces have been suggested to take its place. The question raised in Paper I has to do with the location of such surfaces in a simple model of gravitational collapse, the Oppenheimer-Snyder model.

A different scenario of gravitational collapse, that of a null shell of dust collapsing in flat spacetime, is the starting point of the original formulation of the Penrose inequality. By a reformulation, this inequality can be turned into a purely geometric relation in Minkowski space. In Paper IV we formulate and prove a (2+1)-dimensional version in anti-de Sitter space.

The Penrose inequality sometimes goes under the name of the "isoperimetric inequality for black holes". In Paper III a different kind of isoperimetric inequality is discussed (with less rigour), namely that of the volume contained in a black hole with a given area.

In Paper II, the subject of limits of spacetimes is visualized. Again, (2+1)-dimensional anti-de Sitter space finds its use, as a one parameter family of surfaces, capturing the geometry of charged black hole spacetimes, is embedded in it. Thus different limiting procedures are illustrated.

Finally, interesting models can be constructed by cutting and gluing in spacetimes, but in doing so one needs to take care, in order to obtain a physically realistic model. With this background as motivation, a study of Lorentzian cones is given.

Taken together, all of these contributions make up a collection of interesting aspects of black hole geometry, or, shapes of spacetimes.

Place, publisher, year, edition, pages
Stockholm: Department of Physics, Stockholm University, 2017. 54 p.
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:su:diva-139950 (URN)978-91-7649-706-7 (ISBN)978-91-7649-707-4 (ISBN)
Public defence
2017-04-07, sal FA32, AlbaNova universitetscentrum, Roslagstullsbacken 21, Stockholm, 13:00 (English)
Opponent
Supervisors
Available from: 2017-03-15 Created: 2017-02-22 Last updated: 2017-03-16Bibliographically approved

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