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Perturbation Theory for Path Integrals in Quadratic Gravity
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abstract
The action $A$ of Quadratic Gravity in FLRW metric is invariant under the group of diffeomorphisms of the time coordinate and can be written in terms of the only dynamical variable $g(\tau)\,.$ We construct perturbation theory for calculating path integrals of the form $\int\,F(g)\,\exp\left\{-A (g)\right\}dg\,,$ and find the averaged value of the scale factor in the first nontrivial perturbative order.
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Conformal Cores of Quantum Black Holes in Quadratic Gravity
Exact complex power-law solutions of pure quadratic gravity, named powerballs, can match a Schwarzschild black hole just outside its horizon and give a finite-action model of the quantum interior.
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