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  Elastic deformations of compact stars

Andersson, L., Beig, R., & Schmidt, B. G. (2014). Elastic deformations of compact stars. Classical and quantum gravity, 31(18): 185006. doi:10.1088/0264-9381/31/18/185006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-5579-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-557A-0
Genre: Journal Article

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1402.6634.pdf (Preprint), 320KB
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 Creators:
Andersson, Lars1, Author              
Beig, Robert, Author
Schmidt, Bernd G.1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP
 Abstract: We prove existence of solutions for an elastic body interacting with itself through its Newtonian gravitational field. Our construction works for configurations near one given by a self-gravitating ball of perfect fluid. We use an implicit function argument. In so doing we have to revisit some classical work in the astrophysical literature concerning linear stability of perfect fluid stars. The results presented here extend previous work by the authors, which was restricted to the astrophysically insignificant situation of configurations near one of vanishing stress. In particular, "mountains on neutron stars", which are made possible by the presence of an elastic crust in neutron stars, can be treated using the techniques developed here.

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 Dates: 2014-02-262014
 Publication Status: Published in print
 Pages: 29 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1402.6634
DOI: 10.1088/0264-9381/31/18/185006
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 31 (18) Sequence Number: 185006 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1