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The Principle of General Covariance and the Principle of ...

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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.

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