Weyl Gravity Revisited

Abstract

The on shell equivalence of first order and second order formalisms for the Einstein-Hilbert action does not hold for those actions quadratic in curvature. It would seem that by considering the connection and the metric as independent dynamical variables, there are no quartic propagators for any dynamical variable. This suggests that it is possible to get both renormalizability and unitarity along these lines. We have studied a particular instance of those theories, namely Weyl gravity. Although the ground state of this system is difficult to analyze, we have been able to study the physical effects of some external sources.

14 pages

References in corpus (11)

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• Metric-affine f(R) theories of gravity
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• Weyl gravity as general relativity
• Quadratic metric-affine gravity
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Cited by in corpus (12)

• Physical content of Quadratic Gravity
• Viscous cosmology in the Weyl-type $f(Q,T)$ gravity
• Weyl type $f(Q,T)$ gravity observational constrained cosmological model
• Nonminimally coupled Weyl gravity
• Tracing cosmic evolution through Weyl-Type f(Q,T) gravity model: theoretical analysis and observational validation
• Dark energy constraint on equation of state parameter in the Weyl type $f(Q,T)$ gravity
• Quadratic gravity in first order formalism
• Structural stability of spherical horizons
• The fate of horizons under quantum corrections
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity
• Divergences of the scalar sector of quadratic gravity
• Black hole shadows in nonminimally coupled Weyl connection gravity