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Introduction

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Book cover General Relativity

Part of the book series: Graduate Texts in Physics ((GTP))

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Abstract

In this introduction we first sketch why Einstein was soon convinced that gravitation has no place in the framework of special relativity. Then we give a broad outline of general relativity (GR) as a profound theory of gravitation, and of its major applications and successes. It is now widely recognized that GR is a non-Abelian gauge theory of a special type, in that it has a common geometrical structure with the gauge theories of particle physics.

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Notes

  1. 1.

    In this case, the pseudo-Riemannian manifold is called a Lorentz manifold.

  2. 2.

    For a description of a particularly fruitful phase in Einstein’s struggle on the way to GR, see [61].

  3. 3.

    In the investigations of such complex phenomena, numerical relativity plays an increasingly important role. Fortunately, there now exist text books on this vast field [19, 20].

  4. 4.

    For a historically oriented account of this, see [66].

References

Textbooks on General Relativity: Numerical Relativity

  1. T.W. Baumgarte, T.L. Shapiro, Numerical Relativity (Cambridge University Press, Cambridge, 2010)

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  2. M. Alcubierre, Introduction to 3+1 Numerical Relativity (Oxford University Press, London, 2008)

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Historical Sources

  1. N. Straumann, Ann. Phys. (Berlin) 523, 488 (2011)

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  2. L. O’Raifeartaigh, N. Straumann, Rev. Mod. Phys. 72, 1 (2000)

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Straumann, N. (2013). Introduction. In: General Relativity. Graduate Texts in Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5410-2_1

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