Cosmological perturbations and classical change of signature

Abstract

Cosmological perturbations on a manifold admitting signature change are studied. The background solution consists in a Friedmann-Lemaitre-Robertson- Walker (FLRW) Universe filled by a constant scalar field playing the role of a cosmological constant. It is shown that no regular solution exist satisfying the junction conditions at the surface of change. The comparison with similar studies in quantum cosmology is made.

35 pages, latex, 2 figures available at [email protected], to appear in Physical Review D

References in corpus (8)

• Quantum Effects In Cosmology
• Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background
• The Scalar Field Equation in the Presence of Signature Change
• Hamiltonian quantization of General Relativity with the change of signature
• On Cosmological Isotropy, Quantum Cosmology and the Weyl Curvature Hypothesis
• Black holes, cosmological singularities and change of signature
• Actions for signature change
• The Geometry of classical change of signature

Cited by in corpus (12)

• On Signature Transition and Compactification in Kaluza-Klein Cosmology
• Signature change from Schutz's canonical quantum cosmology and its classical analogue
• Metrics with distributional curvature
• A Possible Mechanism for Production of Primordial Black Holes
• A Low Matter Density Decaying Vacuum Cosmology from Complex Metric
• Classical and quantum spinor cosmology with signature change
• Dark Energy and Inflation in a Gravitational Wave Dominated Universe
• Riemann-Cartan gravity with dynamical signature
• Dark energy from instantons
• Singularity at the demise of a black hole
• Geodesic family of spherical instantons and cosmic quantum creation
• A Conceptual Introduction To Signature Change Through a Natural Extension of Kaluza-Klein Theory