Quantum modified Regge-Teitelboim cosmology

Abstract

The canonical quantization of the modified geodetic brane cosmology which is implemented from the Regge-Teitelboim model and the trace of the extrinsic curvature of the brane trajectory, K, is developed. As a second-order derivative model, on the grounds of the Ostrogradski Hamiltonian method and the Dirac's scheme for constrained systems, we find suitable first- and second-class constraints which allow for a proper quantization. We also find that the first-class constraints obey a sort of truncated Virasoro algebra. The effective quantum potential emerging in our approach is exhaustively studied where it shows that an embryonic epoch is still present. The quantum nucleation is sketched where we observe that it is driven by an effective cosmological constant.

11 pages, 3 figures. Erratum on one of the institutional addresses. Some minor changes

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Cited by in corpus (13)

• New Hamiltonian analysis of Regge Teitelboim minisuperspace cosmology
• Hamiltonian analysis for linearly acceleration-dependent Lagrangians
• Cosmology with variable $G$ and nonlinear electrodynamics
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Covariant approach of perturbations in Lovelock type brane gravity
• Hamilton-Jacobi approach for Regge-Teitelboim cosmology
• Cosmic acceleration in Regge-Teitelboim gravity
• Algebra of Implicitly Defined Constraints for Gravity as the General Form of Embedding Theory
• Holographic relationships in Lovelock type brane gravity
• A possible geometrical origin of the accelerated expansion of the universe
• Hamilton-Jacobi approach for linearly acceleration-dependent Lagrangians
• Lovelock type brane gravity from a minimal surface perspective
• Modified Hamiltonian formalism for Regge Teitelboim Cosmology