Observable effects of scalar fields and varying constants |
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Authors: | John D Barrow Douglas J Shaw |
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Institution: | (1) DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK |
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Abstract: | We show by using the method of matched asymptotic expansions that a sufficient condition can be derived which determines when
a local experiment will detect the cosmological variation of a scalar field which is driving the spacetime variation of a
supposed constant of Nature. We extend our earlier analyses of this problem by including the possibility that the local region
is undergoing collapse inside a virialised structure, like a galaxy or galaxy cluster. We show by direct calculation that
the sufficient condition is met to high precision in our own local region and we can therefore legitimately use local observations
to place constraints upon the variation of “constants” of Nature on cosmological scales. |
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