Remarks on the Notions of General Covariance and Background Independence

@article{Giulini2007RemarksOT,
  title={Remarks on the Notions of General Covariance and Background Independence},
  author={Domenico Giulini},
  journal={Lecture Notes in Physics},
  year={2007},
  volume={721},
  pages={105-120}
}
  • D. Giulini
  • Published 22 March 2006
  • Mathematics
  • Lecture Notes in Physics
In the first part of this paper I review some of the difficulties that seem to obstruct generally valid definitions of "general covariance" and/or "background independence" The second and more historical part deals with a rather strange argument that Einstein put forward in his 1913 "Entwurf paper" with M. Grossmann to discredit scalar theories of gravity in order to promote general covariance. 

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References

SHOWING 1-10 OF 33 REFERENCES

Principles of Relativity Physics

Einsteins neue und seine ursprüngliche Relativitätst heorie

  • Annalen der Physik,
  • 1917

THE FOUNDATIONS OF MECHANICS.

TLDR
Find the secret to improve the quality of life by reading this foundations of mechanics, which can be your favorite book to read after having this book.

The special and general principles of rela tivity

  • After Einstein,
  • 1981

Foundations of Space-Time Theories

The collected papers of Albert Einstein

List of Texts xiii List of Illustrations xxxiii INTRODUCTORY MATERIAL Introduction to Volume 14 xxxv Editorial Method of the Series lxxxv Acknowledgments xciii Note on the Translation xcv List of

FOUNDATIONS OF SPACE–TIME THEORIES

On the volume elements on a manifold

Brief Review of Lorentz-Covariant Scalar Theories of Gravitation

An historical review of Lorentz-covariant scalar theories of gravitation is presented. Included are the theory of Poincare, its presentation by Kottler, and its modification by Whitrow and Morduch;