The Schwarzschild Solution and Classical Tests of General Relativity

  • Norbert Straumann
Part of the Graduate Texts in Physics book series (GTP)

Abstract

This is the first of seven chapters in Part II, that are devoted to tests of GR and many of its applications. Beside the classical tests, the geodetic precession of a gyroscope in a spherically symmetric static metric is also treated. Then we turn to the Schwarzschild black hole of a given mass, its Kruskal extension and Penrose diagram. This is generalized to the Reissner–Nordstrøm solution for electrically charged black holes. Important aspects of a spherically symmetric collapse to a black hole are discussed. The chapter ends with an appendix on spherically symmetric gravitational fields.

Keywords

Black Hole Cauchy Horizon Distant Observer Timelike Geodesic Conformal Compactification 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

Textbooks on General Relativity: Selection of (Graduate) Textbooks

  1. 8.
    C.M. Will, Theory and Experiment in Gravitational Physics, 2nd edn. (Cambridge University Press, Cambridge, 1993) MATHCrossRefGoogle Scholar
  2. 13.
    R. Adler, M. Bazin, M. Schiffer, Introduction to General Relativity, 2nd edn. (McGraw-Hill, New York, 1975) Google Scholar

Textbooks on General Physics and Astrophysics

  1. 23.
    J.D. Jackson, Classical Electrodynamics, 3rd edn. (Wiley, New York, 1999) MATHGoogle Scholar

Mathematical Tools: Selection of Mathematical Books

  1. 49.
    B. O’Neill, Elementary Differential Geometry (Academic Press, San Diego, 1997) MATHGoogle Scholar

Historical Sources

  1. 74.
    A. Einstein, Collected Papers, vol. 6, Doc. 25, Doc. 24, Doc. 32 Google Scholar

Research Articles, Reviews and Specialized Texts: Chapter  2

  1. 96.
    C.M. Will, Living Rev. Relativ. 9, 3 (2006). gr-qc/9811036 ADSGoogle Scholar

Research Articles, Reviews and Specialized Texts: Chapter 4

  1. 128.
    R.A. Hulse, Rev. Mod. Phys. 66, 699 (1994) ADSCrossRefGoogle Scholar
  2. 129.
    J.H. Taylor, Rev. Mod. Phys. 66, 711 (1994) ADSCrossRefGoogle Scholar
  3. 130.
    P. Coles, Einstein, Eddington and the 1919 eclipse, in Proceedings of International School on the Historical Development of Modern Cosmology, Valencia, ed. by V.J. Martinez, V. Trimble, M.J. Pons-Borderia. ASP Conference Series, vol. 252 (Astronomical Society of the Pacific, San Francisco, 2001). astro-ph/0102462 Google Scholar
  4. 131.
    M. Froeschlé, F. Miguard, F. Arenon, in Proceedings of the Hipparcos Venice 1997 Symposium (ESA Publications Division, Noordwijk, 1997) Google Scholar
  5. 132.
    I. Shapiro et al., Phys. Rev. Lett. 26, 1137 (1971) ADSGoogle Scholar
  6. 133.
    R.D. Reasonberg et al., Astrophys. J. 234, L219 (1979) ADSCrossRefGoogle Scholar
  7. 134.
    J.G. Williams et al., Phys. Rev. D 53, 6730 (1996) ADSCrossRefGoogle Scholar
  8. 135.
    J.M. Weisberg, J.H. Taylor, Astrophys. J. 576, 942 (2002) ADSCrossRefGoogle Scholar
  9. 136.
    S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, London, 1983) MATHGoogle Scholar
  10. 137.
    J.B. Hartle, Phys. Rep. 46, 201 (1978) ADSCrossRefGoogle Scholar
  11. 138.
    C.V. Vishveshwara, Phys. Rev. D 1, 2870 (1970) ADSCrossRefGoogle Scholar
  12. 139.
    F.J. Zerilli, Phys. Rev. Lett. 24, 737 (1970) ADSCrossRefGoogle Scholar
  13. 140.
    R. Schödel et al., Nature 419, 694 (2002). astro-ph/0210426 ADSCrossRefGoogle Scholar
  14. 141.
    S. Gillessen et al., Astrophys. J. 707, L114 (2009). arXiv:0910.3069 ADSCrossRefGoogle Scholar
  15. 142.
    B. Bertotti, L. Iess, P. Tortora, Nature 425, 374–376 (2003) ADSCrossRefGoogle Scholar
  16. 143.
    C.W.F. Everitt et al., Phys. Rev. Lett. 106, 221101 (2011) ADSCrossRefGoogle Scholar
  17. 144.
    I.I. Ciufolini et al., in General Relativity and John Archibald Wheeler, ed. by I. Ciufolini, R.A. Matzner (Springer, Dordrecht, 2010), p. 371 CrossRefGoogle Scholar

Research Articles, Reviews and Specialized Texts: Chapter  8

  1. 275.
    T. Ott et al., ESO Messenger 111, 1 (2003). astro-ph/0303408 ADSGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Norbert Straumann
    • 1
  1. 1.Mathematisch-Naturwiss. Fakultät, Institut für Theoretische PhysikUniversität ZürichZürichSwitzerland

Personalised recommendations