Triyanta Triyanta
Theoretical High Energy Physics and Instrumentation Research Division, Institut Teknologi Bandung, Indonesia.

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An Application of the General Relativity-type Inversion Formulae: the Derivation of the Fock-Schwinger-Friedmann-Robertson-Walker Christoffel Symbol Triyanta Triyanta
Indonesian Journal of Physics Vol 20 No 1 (2009): Vol. 20 No. 1, January 2009
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (68.575 KB) | DOI: 10.5614/itb.ijp.2009.20.1.2

Abstract

Similar relationship between Christoffel symbols and Riemann tensors and between gauge potentials and gauge field strengths enable us to treat the Christoffel symbols just like the gauge fields. Restricting the Christoffel symbol by the Fock-Schwinger (FS) condition one obtains the so-call inversion formulae in general relativity theory. These formulae may be utilized for various applications, including the Christoffel symbol-free formulation of the general relativity and calculating the so-called Fock-Schwinger Christoffel symbols for certain Riemann tensors. Here we will derive the Fock-Schwinger-Friedmann-Robertson-Walker (FSFRW) Christoffel symbols.