Averaging reductions and asymptotic theorems are derived for oscillatory scalar fields, with exact quadrature solutions for t(a), phi(a), and H(a) in general relativistic, anisotropic, and brane-world cosmologies.
Singularities In Scalar-Tensor Cosmologies
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abstract
In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the singularity, gravity waves always do. This is because they couple to both the metric and the scalar field, in a way which effectively forces them to move along null geodesics of the Einstein conformal frame. Since the metric of the Einstein conformal frame is always singular for configurations where matter satisfies the energy conditions, the gravity wave world lines are past inextendable beyond the Einstein frame singularity, and hence the geometry is still incomplete, and thus singular. We conclude that the singularity cannot be entirely removed, but only be made invisible to most, but not all, probes in the theory.
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The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.
A critical review of conformal form-invariant parametrization in scalar-tensor theories, testing its novelty relative to existing frames and the universality of frame-invariant physical predictions.
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Asymptotic Theorems and Averaging in Scalar Field Cosmology
Averaging reductions and asymptotic theorems are derived for oscillatory scalar fields, with exact quadrature solutions for t(a), phi(a), and H(a) in general relativistic, anisotropic, and brane-world cosmologies.
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The Unknown Face of Scalar-Tensor Gravitational Theories
The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.
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Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis
A critical review of conformal form-invariant parametrization in scalar-tensor theories, testing its novelty relative to existing frames and the universality of frame-invariant physical predictions.