Advertisement

Remarks on the Notions of General Covariance and Background Independence

  • D. Giulini
Part of the Lecture Notes in Physics book series (LNP, volume 721)

Keywords

Invariance Group General Covariance Timelike Vector Absolute Structure Background Independence 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Ralph Abraham and Jerrold E. Marsden. Foundations of Mechanics. The Benjamin/Cummings Publishing Company, Reading, Massachusetts, second edition, 1978.zbMATHGoogle Scholar
  2. 2.
    James L. Anderson. Relativity principles and the role of coordinates in physics. In Hong-Yee Chiu and William F. Hoffmann, editors, Gravitation and Relativity, pp. 175–194. W.A. Benjamin, Inc., New York and Amsterdam, 1964.Google Scholar
  3. 3.
    James L. Anderson. Principles of Relativity Physics. Academic Press, New York, 1967.Google Scholar
  4. 4.
    Julian Barbour. On general covariance and best matching. In Craig Callender and Nick Huggett, editors, Physics Meets Philosophy at the Planck Scale – Contemporary Theories in Quantum Gravity, pp. 199–212. Cambridge University Press, Cambridge (England), 2001.Google Scholar
  5. 5.
    Elie Cartan. Sur les varietes a connexion affine et la théorie de la relativité généralisée. Annales Scientifiques de l’École Normale Supérieure, 40:325–412, 1923.Google Scholar
  6. 6.
    Elie Cartan. Sur les varietes a connexion affine et la théorie de la relativité généralisée. Annales Scientifiques de l’École Normale Supérieure, 41:1–15, 1924.Google Scholar
  7. 7.
    Michael Friedman. Relativity principles, absolute objects and groups. In Patrick Suppes, editor, Space, Time and Geometry, pp. 296–320, Dordrecht, Holland, 1973. D. Reidel Publishing Company.Google Scholar
  8. 8.
    Michael Friedman. Foundations of Space-Time Theories. Princeton University Press, Princeton, New Jersey, 1983.Google Scholar
  9. 9.
    Kurt Friedrichs. Eine invariante Formulierung des Newtonschen Gravitationsgesetzes und des Grenzüberganges vom Einsteinschen zum Newtonschen Gesetz. Mathematische Annalen, 98:566–575, 1927.Google Scholar
  10. 10.
    Roger Jones. The special and general principles of relativity. In P. Barker and C.G. Shugart, editors, After Einstein, pp. 159–173, Memphis, USA, 1981. Memphis State University Press.Google Scholar
  11. 11.
    Erich Kretschmann. Über den physikalischen Sinn der Relativitätspostulate, A. Einsteins neue und seine ursprüngliche Relativitätstheorie. Annalen der Physik, 53:575–614, 1917.Google Scholar
  12. 12.
    Jürgen Moser. On the volume elements on a manifold. Transactions of the American Mathematical Society, 120(2):286–294, 1965.zbMATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    John Norton. Einstein, Nordström and the early demise of scalar Lorentz-covariant theories of gravitation. Archive for the History of Exact Sciences, 45:17–94, 1992.zbMATHCrossRefGoogle Scholar
  14. 14.
    John Norton. General covariance and the foundations of general relativity: Eight decades of dispute. Reports of Progress in Physics, 56:791–858, 1993.CrossRefGoogle Scholar
  15. 15.
    John Norton. General covariance, gauge theories and the Kretschmann objection. In Katherine Brading and Elena Castellani, editors, Symmetries in Physics: Philosophical Reflections, pp. 110–123. Cambridge University Press, Cambridge, UK, 2003.Google Scholar
  16. 16.
    Wolfgang Pauli. Theory of Relativity. Dover Publications, Inc., New York, 1981. Unabridged and unaltered republication of the english translation by G. Field that was first published in 1958 by Pergamon Press.Google Scholar
  17. 17.
    Wolfgang Pauli. Relativitätstheorie. Springer Verlag, Berlin, 2000. Reprint of the original ‘Encyclopädie-Artikel’ from 1921 with various additions, including Pauli’s own supplementary notes from 1956. Edited and annotated by Domenico Giulini.Google Scholar
  18. 18.
    Lee Smolin. The case for background independence. www.arxiv.org/abs/ hep-th/0507235.Google Scholar
  19. 19.
    Rafael Sorkin. An example relevant to the Kretschmann-Einstein debate. Modern Physics Letters A, 17(11):695–700, 2002.zbMATHCrossRefMathSciNetGoogle Scholar
  20. 20.
    John Stachel et al., editors. The Collected Papers of Albert Einstein, Vols. 1–9. Princeton University Press, Princeton, New Jersey, 1987–2005.Google Scholar
  21. 21.
    Norbert Straumann. General Relativity. Springer Verlag, Berlin, 2004.zbMATHGoogle Scholar
  22. 22.
    Max von Laue. Die Nordströmsche Gravitationstheorie. Jahrbuch der Radioaktivität und Elektronik, 14(3): 263–313, 1917.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • D. Giulini
    • 1
  1. 1.Max-Planck-Institut für GravitationsphysikAm Mühlenberg 1

Personalised recommendations