Symmetric hyperbolic form of systems of second order evolution equations subject to constraints - INSPIRE

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Symmetric hyperbolic form of systems of second order evolution equations subject to constraints

Feb, 2004

13 pages

Published in:

Phys.Rev.D 70 (2004) 044031

e-Print:

gr-qc/0402079 [gr-qc]

DOI:

10.1103/PhysRevD.70.044031

View in:

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Abstract: (arXiv)

Motivated by the initial-boundary value problem for the Einstein equations, we propose a definition of symmetric hyperbolicity for systems of evolution equations that are first order in time but second order in space. This can be used to impose constraint-preserving boundary conditions. The general methods are illustrated in detail in the toy model of electromagnetism.

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References(11)

Figures(0)

Hyperbolicity of the BSSN system of Einstein evolution equations

Olivier Sarbach
(
- Louisiana State U.
)
,
Gioel Calabrese
(
- Louisiana State U.
)
,
Jorge Pullin
(
- Louisiana State U.
)
,
Manuel Tiglio
(
- Louisiana State U.
)

- Phys.Rev.D 66 (2002) 064002
•
e-Print:
- gr-qc/0205064
•
DOI:
- 10.1103/PhysRevD.66.064002

Strongly hyperbolic second order Einstein's evolution equations

- Phys.Rev.D 70 (2004) 044012
•
e-Print:
- gr-qc/0402123
•
DOI:
- 10.1103/PhysRevD.70.044012

- Commun.Pure Appl.Math. 28 607

- Class.Quant.Grav. 15 2865

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Oscar A. Reula
(
- Cordoba U.
)

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Detecting ill posed boundary conditions in general relativity

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•
e-Print:
- gr-qc/0303040
•
DOI:
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Well posed constraint preserving boundary conditions for the linearized Einstein equations

Gioel Calabrese
(
- Louisiana State U.
)
,
Jorge Pullin
(
- Louisiana State U.
)
,
Olivier Sarbach
(
- Louisiana State U.
)
,
Manuel Tiglio
(
- Louisiana State U.
)
,
Oscar Reula
(
- Cordoba U.
)

- Commun.Math.Phys. 240 (2003) 377-395
•
e-Print:
- gr-qc/0209017
•
DOI:
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A.M. Knapp
(
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)
,
E.J. Walker
(
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)
,
T.W. Baumgarte
(
- Bowdoin Coll. and
- Illinois U., Urbana
)

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•
e-Print:
- gr-qc/0201051
•
DOI:
- 10.1103/PhysRevD.65.064031

Well posed initial boundary evolution in general relativity

Bela Szilagyi
(
- Pittsburgh U.
)
,
Jeffrey Winicour
(
- Pittsburgh U. and
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)

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•
e-Print:
- gr-qc/0205044
•
DOI:
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Symmetric hyperbolicity and consistent boundary conditions for second order Einstein equations

- Phys.Rev.D 70 (2004) 044032
•
e-Print:
- gr-qc/0403019
•
DOI:
- 10.1103/PhysRevD.70.044032

Controlling the growth of constraints in hyperbolic evolution systems

Lee Lindblom
(
- Caltech
)
,
Mark A. Scheel
(
- Caltech
)
,
Lawrence E. Kidder
(
- Cornell U., Radio. Space Res. Ctr.
)
,
Harald P. Pfeiffer
(
- Caltech
)
,
Deirdre Shoemaker
(
- Cornell U., Radio. Space Res. Ctr.
)

et al.

- Phys.Rev.D 69 (2004) 124025
•
e-Print:
- gr-qc/0402027
•
DOI:
- 10.1103/PhysRevD.69.124025