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A numerical stabili...
A numerical stability analysis for the Einstein-Vlasov system
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- Günther, Sebastian (författare)
- University of Bayreuth
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- Körner, Jacob (författare)
- Julius Maximilian University of Würzburg
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- Lebeda, Timo (författare)
- University of Bayreuth
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- Pötzl, Bastian (författare)
- University of Bayreuth
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- Rein, Gerhard (författare)
- University of Bayreuth
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- Straub, Christopher (författare)
- University of Bayreuth
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- Weber, Jörg (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2020-12-17
- 2021
- Engelska.
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Ingår i: Classical and Quantum Gravity. - : IOP Publishing. - 0264-9381 .- 1361-6382. ; 38:3
- Relaterad länk:
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http://dx.doi.org/10...
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http://arxiv.org/pdf...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We investigate stability issues for steady states of the spherically symmetric Einstein-Vlasov system numerically in Schwarzschild, maximal areal, and Eddington-Finkelstein coordinates. Across all coordinate systems we confirm the conjecture that the first binding energy maximum along a one-parameter family of steady states signals the onset of instability. Beyond this maximum perturbed solutions either collapse to a black hole, form heteroclinic orbits, or eventually fully disperse. Contrary to earlier research, we find that a negative binding energy does not necessarily correspond to fully dispersing solutions. We also comment on the so-called turning point principle from the viewpoint of our numerical results. The physical reliability of the latter is strengthened by obtaining consistent results in the three different coordinate systems and by the systematic use of dynamically accessible perturbations.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- binding energy
- black hole
- collapse
- Einstein-Vlasov
- heteroclinic orbit
- stability
- turning point
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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