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The chameleon, or generalizations thereof, is a light scalar that couple to matter with gravitational strength, but whose manifestation depends on the ambient matter density.
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Relating the Jordan and Einstein frame scale factors by a J = A a E a_{\rm J}=Aa_{\rm E} , it is straightforward to show [ a a ¨ ] J − [ a a ¨ ] E = ( A ′ / A ) ′ [a\ddot{a}]_{\rm J}-[a\ddot{a}]_{\rm E}=(A^{\prime}/A)^{\prime} , where ˙ \dot{} denotes derivative with respect to (Jordan or Einstein frame) proper time, and ′
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