BSSN formalism

The BSSN Formalism, developed by Thomas W. Baumgarte, Stuart L. Shapiro, Masaru Shibata, and Takashi Nakamura from 1987 to 1999, is a modification of the ADM formalism Hamiltonian formulation of general relativity^[1].

The ADM formalism does not permit stable and long-term numerical simulations. In the BSSN formalism, the ADM equations are modified by introducing auxiliary variables. The formalism has been tested for a long-term evolution of linear gravitational waves and used for a variety of purposes such as to simulate the non-linear evolution of gravitational waves, or the evolution and collision of black holes^[2]^[3].

References

^ Jinho Kim (2008-07-28). "General Relativistic Hydrodynamics Using BSSN formalism" (PDF). Seoul National University. Retrieved 2009-10-19. ^{[dead link]}
^ Masaru Shibata (October 2004). "Status of numerical relativity" (PDF). Indian Academy of Sciences. Retrieved 2009-10-19.
^ Takashi Nakamura (2006). "Formation of black hole and emission of gravitational waves". The Japan Academy. Retrieved 2009-10-19.

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[1] Jinho Kim (2008-07-28). "General Relativistic Hydrodynamics Using BSSN formalism" (PDF). Seoul National University. Retrieved 2009-10-19. ^{[dead link]}

[2] Masaru Shibata (October 2004). "Status of numerical relativity" (PDF). Indian Academy of Sciences. Retrieved 2009-10-19.

[3] Takashi Nakamura (2006). "Formation of black hole and emission of gravitational waves". The Japan Academy. Retrieved 2009-10-19.

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See also

References