Modified gravity from the nonperturbative quantization of a metric

Abstract

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first order terms of the metric, the calculations are performed with an accuracy of second order. It is shown that such quantum corrections give rise to modified gravity.

arXiv commentAppendix B is added

References in corpus (6)

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• Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
• Modified gravity from the quantum part of the metric
• Dynamical $F(R)$ gravities
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Cited by in corpus (18)

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• Effects of quantum fluctuations of metric on the universe
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• BBN Constraints on $f(Q,T)$ Gravity
• Modified Teleparallel Gravity induced by quantum fluctuations
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Confronting quantum-corrected teleparallel cosmology with observations
• Matter really does matter, or Why $f(R,\mathrm{Matter})$ type theories are significant for gravitational physics and cosmology
• Baryogenesis in quantum fluctuation modified gravity
• Observational properties of black hole in quantum fluctuation modified gravity
• Spinor field solutions in $F\left(B^2\right)$ modified Weyl gravity
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory
• Kiselev Black holes in quantum fluctuation modified gravity
• Comparative Study of $f(T)$ Gravity Models with Observational Constraints from \textit{OHD} and \textit{Pantheon+ datasets}