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Elastic Stars in General Relativity: I. Foundations and Equilibrium Models
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2003 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 20, no 16, 3613-3648 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is twofold. First, we set up the theory of elastic matter sources within the framework of general relativity in a self-contained manner. The discussion is primarily based on the presentation of Carter and Quintana but also includes new methods and results as well as some modifications that in our opinion make the theory more modern and transparent. For instance, the equations of motion for the matter are shown to take a neat form when expressed in terms of the relativistic Hadamard elasticity tensor. Using this formulation, we obtain simple formulae for the speeds of elastic wave propagation along eigendirections of the pressure tensor. Secondly, we apply the theory to static spherically symmetric configurations using a specific equation of state and consider models either having an elastic crust or core.

Place, publisher, year, edition, pages
2003. Vol. 20, no 16, 3613-3648 p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-22962DOI: 10.1088/0264-9381/20/16/307OAI: oai:DiVA.org:su-22962DiVA: diva2:189815
Available from: 2003-09-25 Created: 2003-09-25 Last updated: 2017-12-13Bibliographically approved
In thesis
1. Stellar Models in General Relativity
Open this publication in new window or tab >>Stellar Models in General Relativity
2003 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Neutron stars are some of the most fascinating objects in Nature. Essentially all aspects of physics seems to be represented inside them. Their cores are likely to contain deconfined quarks, hyperons and other exotic phases of matter in which the strong interaction is the dominant force. The inner region of their solid crust is penetrated by superfluid neutrons and their magnetic fields may reach well over 1012 Gauss. Moreover, their extreme mean densities, well above the densities of nuclei, and their rapid rotation rates makes them truly relativistic both in the special as well as in the general sense. This thesis deals with a small subset of these phenomena. In particular the exciting possibility of trapping of gravita-tional waves is examined from a theoretical point of view. It is shown that the standard condition R < 3M is not essential to the trapping mechanism. This point is illustrated using the elegant tool provided by the optical geometry. It is also shown that a realistic equation of state proposed in the literature allows stable neutron star models with closed circular null orbits, something which is closely related to trapped gravitational waves. Furthermore, the general relativistic theory of elasticity is reviewed and applied to stellar models. Both static equilibrium as well as radially oscillating configurations with elasticsources are examined. Finally, Killing tensors are considered and their applicability to modeling of stars is discussed

Place, publisher, year, edition, pages
Stockholm: Fysikum, 2003. 73 p.
Keyword
General relativity, compact objects, neutron stars
National Category
Physical Sciences
Identifiers
urn:nbn:se:su:diva-13 (URN)91-7265-746-4 (ISBN)
Public defence
2003-10-17, FD5, AlbaNova niversitetscentrum, Roslagstullsbacken 21, Stockholm, 10:00
Opponent
Supervisors
Available from: 2003-09-25 Created: 2003-09-25Bibliographically approved

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