Generalized boundary conditions in closed cosmologies

Abstract

Considering a generalization of the Gibbons-Hawking-York covariant boundary action that depends on both the extrinsic and the intrinsic geometry of the boundary, we derive boundary conditions for the cosmological background and tensor perturbations in a closed universe with space-like boundaries. We also give a general method to reconstruct the covariant boundary action starting from a given set of boundary conditions for the cosmological background. These results may be of special relevance in the context of the path-integral formulation of quantum cosmology, where boundary terms contain essential physical information of the system.

arXiv comment11 pages; v2: references updated; matches version accepted for publication in PRD

References in corpus (11)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Lorentzian Quantum Cosmology
• No smooth beginning for spacetime
• Regularization of odd-dimensional AdS gravity: Kounterterms
• Tunneling wave function of the universe
• Damped perturbations in the no-boundary state
• The No-Boundary Proposal as a Path Integral with Robin Boundary Conditions
• No-boundary prescriptions in Lorentzian quantum cosmology
• A Neumann Boundary Term for Gravity
• The no-boundary proposal in biaxial Bianchi IX minisuperspace
• Robin Gravity

Cited by in corpus (6)

• Boundary choices and one-loop complex gravitational path integral
• No smooth spacetime: Exploring primordial perturbations in Lorentzian quantum cosmology
• Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
• The fate of boundary terms in dimensional reductions
• Generalized Neumann boundary condition for the scalar field
• Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW