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Equivalence principles played a central role in the development of general relativity.
R. Infeld and A. Schild, “On the motion of test particles in general relativity”,
1949
Earlier work this paper cites.
A. Papapetrou, “Spinning test-particles in general relativity. I”,
1951
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H. Reichenbach,
1958
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J. N. Goldberg, “The equations of motion”, in
1962
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K. Nordtvedt, “Equivalence principle for massive bodies. II. Theory”,
1968
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K. S. Thorne, D. L. Lee, and A. P. Lightman, “Foundations for a theory of gravitation theories”,
1973
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A. P. Lightman and D. L. Lee, “Restricted proof that the weak equivalence principle implies the Einstein equivalence principle”,
1973
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D. L. Lee, L. P. Lightman, and W.-T. Ni, “Conservation laws and variational principles in metric theories of gravity”,
1974
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M. Berry,
1976
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H. C. Ohanian, “What is the principle of equivalence?”,
1977
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J. Norton, “What was Einstein’s principle of equivalence?”,
1985
Cited alongside, same era.
B. Bertotti and L. P. Grishchuk, “The strong equivalence principle”,
1990
Cited alongside, same era.
C. M. Will,
1993
Cited alongside, same era.
S. Sonego and V. Faraoni, “Coupling to the curvature for a scalar field from the equivalence principle”,
1993
Cited alongside, same era.
Of course, this is applicable only to physical laws which can be formulated in an entirely local way, so one must be very cautious when dealing, e.g., with quantum field theory in a curved spacetime, whose formulation relies on the
2004
Cited alongside, same era.
J.-M. Gérard, “The strong equivalence principle from a gravitational gauge structure”,
2010
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T. Padmanabhan,
2010
Later among the works it cites.
More generally, a survey of the conceptual difficulties encountered by students when learning about the equivalence principle is found in A. Bandyopadhyay and A. Kumar, “Probing students’ ideas of the principle of equivalence”,
2011
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2011
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D. B. Malament,
2012
Later among the works it cites.
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2007
Cited alongside, same era.
T. P. Sotiriou, V. Faraoni, and S. Liberati, “Theory of gravitation theories: A no-progress report”,
2008
Cited alongside, same era.
J.-M. Gérard, “Further issues in fundamental interactions”, in
2009
Cited alongside, same era.
2009
Cited alongside, same era.
There are notable exceptions. Some authors prefer to replace heuristic principles by sound mathematical postulates, on the ground that the former are not well-defined. A champion of this attitude was the Irish mathematical physicist John Lighton Synge, who wrote with characteristic wit: “When, in a relativistic discussion, I try to make things clearer by a spacetime diagram, the other participants look at it with polite detachment and, after a pause of embarrassment as if some childish indecency had been exhibited, resume the debate in their own terms. Perhaps they speak of the Principle of Equivalence. If so, it is my turn to have a blank mind, for I have never been able to understand this Principle. Does it mean that the signature of the space-time metric is
Cited in the paper.
Usually, this happens for weak gravitational fields and slow motions. A notable exception to this rule is Bekenstein’s tensor-vector-scalar theory of gravity (T
Cited in the paper.
As it is common in classical mechanics, by “particle” we mean a body whose extension is irrelevant for what concerns its dynamical behaviour. Moreover, we exclude the possibility that the mentioned particle may carry any spin, quadrupole moment, or any other higher multipole moment whatsoever
Cited in the paper.
A. M. Nobili
2013
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2013
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2014
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2014
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