Weyl-connection gravity with a dynamical vector field produces an effective dark energy sector, recovering Lambda-CDM in one class and dynamical dark energy in others.
Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
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abstract
New Massive Gravity provides a non-linear extension of the Fierz-Pauli mass for gravitons in 2+1 dimensions. Here we construct a Weyl invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy with the Higgs mechanism. In (anti)-de Sitter backgrounds, the symmetry can be broken spontaneously, but in flat backgrounds radiative corrections, at the two loop level, break the Weyl symmetry a la Coleman-Weinberg mechanism. We also construct the Weyl invariant extensions of some other higher derivative models, such as the Gauss-Bonnet theory (which reduces to the Maxwell theory in three dimensions) and the Born-Infeld type gravities.
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gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
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Modified gravity from Weyl connection and the $f(R,\cal{A})$ extension
Weyl-connection gravity with a dynamical vector field produces an effective dark energy sector, recovering Lambda-CDM in one class and dynamical dark energy in others.