Physics:BSSN formalism

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[math]\displaystyle{ G_{\mu \nu} + \Lambda g_{\mu \nu}= {\kappa} T_{\mu \nu} }[/math]
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The BSSN formalism (Baumgarte, Shapiro, Shibata, Nakamura formalism) is a formalism of general relativity that was developed by Thomas W. Baumgarte, Stuart L. Shapiro, Masaru Shibata and Takashi Nakamura between 1987 and 1999.[1] It is a modification of the ADM formalism developed during the 1950s.

The ADM formalism is a Hamiltonian formalism that 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 simulating the non-linear evolution of gravitational waves or the evolution and collision of black holes.[2][3]

See also

References

  1. ↑ Jinho Kim (2008-07-28). "General Relativistic Hydrodynamics Using BSSN formalism". Seoul National University. http://www.ksc.re.kr/kcnr/Presentations/26thNR/26thNRJKim.pdf. 
  2. ↑ Masaru Shibata (October 2004). "Status of numerical relativity". Indian Academy of Sciences. http://www.ias.ac.in/listing/bibliography/pram/Masaru_Shibata/. 
  3. ↑ Takashi Nakamura (2006). "Formation of black hole and emission of gravitational waves". Proceedings of the Japan Academy, Series B 82 (9): 311–327. doi:10.2183/pjab.82.311. PMID 25792793. Bibcode: 2006PJAB...82..311N. 





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