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General Theory of Relativity without Christoffel Symbols

In: Differential Equations Theory, Numerics and Applications

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  • Triyanta

    (Department of Physics-ITB)

Abstract

One peculiarity of the Fock-Schwinger gauge in gauge theory is that one may derive the so-called inversion formula. Such a formula may also be obtained in general theory of relativity if one restricts a Fock-Schwinger gauge-like condition to Christoffel symbols. The formula then may be applied to reformulate expressions in general theory of relativity without Christoffel symbols. An analysis of the Christoffel symbol-free geodesic differential equation, at the lowest approximation, will be shown.

Suggested Citation

  • Triyanta, 1997. "General Theory of Relativity without Christoffel Symbols," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 361-370, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_24
    DOI: 10.1007/978-94-011-5157-3_24
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