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Revisiting local-scale invariant gravitational theory

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arxiv 2402.03184 v3 pith:JRGXTRJK submitted 2024-02-05 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords local-scalesymmetrytheorygravitationalinvariantscalaralongconformally
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We revisit the conformally coupled scalar gravitational theory. This is the simplest local-scale invariant theory of gravity which is linear in the curvature scalar. We demonstrate that, if incorporate local-scale symmetry into the variational procedure, it is not required that the trace of the stress-energy tensor of the matter fields vanished for this symmetry to be preserved. The relevance of this result for the understanding of local-scale symmetry along with its physical consequences, is discussed.

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