Order reduction in semiclassical cosmology

Abstract

We investigate the Robertson-Walker cosmology with Lagrangian $R+{\alpha }_1\hslash R^2+{\alpha }_2\hslash R^{\mu \nu }{R}_{\mu \nu }+L_{rad}$ where $L_{rad}$ means classical source with traceless energy-momentum tensor. We weaken the self-consistence condition (L. Parker, J. Z. Simon, Phys. Rev. {D47}(1993),{1339}). Quantum corrections are expressed as contributions to the effective equation of state. We show that the empty space-time is stable within the class of radiation-filled expanding universes with no order reduction of the field equations.

to be published in Phys.Rev.D vol. 59, 6 pages with 2 figures

References in corpus (2)

• Einstein Equation with Quantum Corrections Reduced to Second Order
• Stability and Hamiltonian formulation of higher derivative theories

Cited by in corpus (2)

• Asymptotically flat vacuum solutions in order-reduced semiclassical gravity
• Existence and uniqueness of solutions of the semiclassical Einstein equation in cosmological models