The Principle of General Covariance and the Principle of ...
The Principle of General Covariance and the Principle of ...
The Principle of General Covariance and the Principle of ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Finally, <strong>the</strong> law <strong>of</strong> force on a particle <strong>of</strong> gravitational mass<br />
is a general ization <strong>of</strong> <strong>the</strong> Newtonian law<br />
which goes into<br />
(22)<br />
<strong>the</strong> expression<br />
for <strong>the</strong> motion <strong>of</strong> a particle under <strong>the</strong> action <strong>of</strong> grav<br />
4. CONCLUSION<br />
We emphaslze that we have no intention <strong>of</strong> invalidating <strong>the</strong><br />
equivalence principle. Our purpose should ra<strong>the</strong>r be viewed as a pedagogical<br />
effort to clarify <strong>the</strong> independence <strong>of</strong> <strong>the</strong> general covariance princlple.<br />
REFERENCES AND NOTES<br />
1. A. Einstein, <strong>The</strong> Meaning <strong>of</strong> Rezativity, 5 th ed. Princeton Univ.Press,<br />
Princeton 1955.<br />
2. W. Pauli, <strong>The</strong> <strong>The</strong>ory <strong>of</strong> ReZativity, Pergamon Press, London, 1958.<br />
3. M. A. Tonnela t, Les Principes de Za ~héorie BZectromagnétique et de<br />
Za ~ezativité, Masson , Par i s 1959.<br />
4. C. Mdl ler, <strong>The</strong> <strong>The</strong>ory <strong>of</strong> ReZativity, 2nd ed., Clarendon Press, Oxford,<br />
1972.<br />
5. S. Wei nberg argues that general covariance fol lows f rom equivalence:<br />
see his Gravitation <strong>and</strong> CosmoZogy, John Wiley, New York, 1972. We do not<br />
deny this, but ra<strong>the</strong>r affirm that general covariance would still be pos-<br />
sible without equivalence.