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Covariant formulations of BSSN and the standard gauge · Around

2009

Covariant formulations of BSSN and the standard gauge

Brown, J. David

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The BSSN and standard gauge equations are written in covariant form with respect to spatial coordinate transformations.

The BSSN variables are defined as tensors with no density weights.
This allows us to evolve a given set of initial data using two different coordinate systems and to relate the results using the familiar tensor transformation rules.
Two variants of the covariant equations are considered.

Built on

M. Shibata and T. Nakamura, Phys. Rev. D52
1995
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C. Bona, J. Masso, E. Seidel, and J. Stela, Phys. Rev. Lett. 75
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T. W. Baumgarte and S. L. Shapiro, Phys. Rev. D59
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M. Alcubierre et al., Phys. Rev. D67
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Similar

H. R. Beyer and O. Sarbach, Phys. Rev. D70
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J. D. Brown, Phys. Rev. D71
2005
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J. R. van Meter, J. G. Baker, M. Koppitz, and D.-I. Choi, Phys. Rev. D73
2006
Cited alongside, same era.
J.D. Brown, in preparation
Cited in the paper.

Then

C. Gundlach and J. M. Martin-Garcia, Class. Quant. Grav. 23
2006
Later among the works it cites.
D. Garfinkle, C. Gundlach, and D. Hilditch, Class. Quant. Grav. 25
2008
Later among the works it cites.
J. D. Brown, Class. Quant. Grav. 25
2008
Later among the works it cites.

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