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General Theory of Relativity without Christoffel Symbols

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Differential Equations Theory, Numerics and Applications

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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.

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References

  1. Jackson J.D.(1983), Classical Electrodynamics, 2nd ed., Wiley Eastern limited.

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  2. Rohrlich, F. (1990), Classical Charged Particles, Addison-Wesley Publishing Company, Inc.

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  3. Delbourgo, R. and Triyanta (1992), Equivalence between the Fock-Schwinger Gauge and the Feynman Gauge, Int.J.Mod.Phys.A Vol.27 No.23, 5833–5854, and references there in.

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  6. Triyanta (1992), The Fock-Schwing er gauge Potentials for some Simple Systems, KFI Vol.3 No.2, 46–55.

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Author information

Authors and Affiliations

  1. Department of Physics-ITB, Jalan Ganesha 10, Bandung, 40132, Indonesia

    Triyanta

Authors
  1. Triyanta
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Editor information

Editors and Affiliations

  1. Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands

    E. van Groesen

  2. Department of Mathematics, Institut Teknologi, Bandung, Indonesia

    E. Soewono

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© 1997 Springer Science+Business Media Dordrecht

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Triyanta (1997). General Theory of Relativity without Christoffel Symbols. In: van Groesen, E., Soewono, E. (eds) Differential Equations Theory, Numerics and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5157-3_24

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  • DOI: https://doi.org/10.1007/978-94-011-5157-3_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6168-1

  • Online ISBN: 978-94-011-5157-3

  • eBook Packages: Springer Book Archive

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