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Covariant BSSN form...
Covariant BSSN formulation in bimetric relativity
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- Torsello, Francesco (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC)
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- Kocic, Mikica (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC)
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- Högås, Marcus (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC)
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- Mörtsell, Edvard (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC)
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(creator_code:org_t)
- 2019-12-23
- 2020
- English.
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In: Classical and quantum gravity. - : IOP Publishing. - 0264-9381 .- 1361-6382. ; 37:2
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Abstract
Subject headings
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- Numerical integration of the field equations in bimetric relativity is necessary to obtain solutions describing realistic systems. Thus, it is crucial to recast the equations as a well-posed problem. In general relativity, under certain assumptions, the covariant BSSN formulation is a strongly hyperbolic formulation of the Einstein equations, hence its Cauchy problem is well-posed. In this paper, we establish the covariant BSSN formulation of the bimetric field equations. It shares many features with the corresponding formulation in general relativity, but there are a few fundamental differences between them. Some of these differences depend on the gauge choice and alter the hyperbolic structure of the system of partial differential equations compared to general relativity. Accordingly, the strong hyperbolicity of the system cannot be claimed yet, under the same assumptions as in general relativity. In the paper, we stress the differences compared with general relativity and state the main issues that should be tackled next, to draw a roadmap towards numerical bimetric relativity.
Subject headings
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Keyword
- ghost-free bimetric theory
- Hassan–Rosen bimetric theory
- bimetric relativity
- BSSN formulation
- numerical relativity
- teoretisk fysik
- Theoretical Physics
Publication and Content Type
- ref (subject category)
- art (subject category)
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