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Part of the book series: Lecture Notes in Physics ((LNP,volume 750))

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Abstract

In the previous chapter we studied the movement of mass points in curved space–times. We gained insight into how the curvature of thespace–time affects the dynamics of mass points and light rays. In modern theoretical physics however, not particles but fields are the elements of nature. In this chapter we shall turn our attention to fields.We shall not build a field theory systematically, but introduce some basic notions that are essential for the further development of general relativity. Among these are the covariant derivative for arbitrary tensor fields, the stress-energy tensor, and some material on variation principles.

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References

  1. J.D.Jackson, Classical Electrodynamics, Wiley, New York, 1962.

    Google Scholar 

  2. K.R.Lang, The Cambridge Encyclopedia of the Sun, Cambridge University Press, Cambridge, UK, 2001.

    Google Scholar 

  3. R.Penrose and W.Rindler, Spinors in Spacetime. Vol. I. Two-Spinors Calculus and Relativistic Fields, Cambridge University Press, Cambridge, UK 1984.

    Google Scholar 

  4. H.Goldstein, Classical Mechanics, Addison-Wesley, Reading, MA, 1980.

    MATH  Google Scholar 

  5. C.W.Misner, K.S.Thorne and J.A.Wheeler, em Gravitation, Freeman, San Francisco, CA, 1973.

    Google Scholar 

  6. R.M.Wald, General Relativity, University of Chicago Press, Chicago, IL, 1984.

    MATH  Google Scholar 

  7. J.Frank, A.King and D.Raine, Accretion Power in Astrophysics, Cambridge University Press, Cambridge, UK, 2002.

    Google Scholar 

  8. J.H.Krolik, Active Galactic Nuclei, Princeton University Press, Princeton, NJ, 1999.

    Google Scholar 

  9. J.Ehlers, General Relativity and Cosmology, edited by R.K.Sachs, Academic Press, NewYork, 1971.

    Google Scholar 

  10. G. F.R. Ellis, General Relativity and Cosmology, edited by R. K. Sachs, Academic Press, New York, 1971.

    Google Scholar 

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Correspondence to Petr Hájíček .

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© 2008 Springer-Verlag Berlin Heidelberg

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Hájíček, P. (2008). Field Dynamics. In: An Introduction to the Relativistic Theory of Gravitation. Lecture Notes in Physics, vol 750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78659-7_3

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