On signature transition in Robertson-Walker cosmologies

Abstract

We analyse a classical model of gravitation coupled to a self interacting scalar field. We show that, within the context of this model for Robertson-Walker cosmologies, there exist solutions in the spatially non-flat cases exhibiting transitions from a Euclidean to a Lorentzian spacetime. We then discuss the conditions under which these signature changing solutions to Einstein's field equations exist. In particular, we find that an upper bound for the cosmological constant exists and that close to the signature changing hypersurface, both the scale factor and the scalar field have to be constant. Moreover we find that the signature changing solutions do not exist when the scalar field is massless.

9 pages plus 4 postscript figures. To appear in the Int. J. Mod. Phys. A

References in corpus (1)

• On Signature Transition and Compactification in Kaluza-Klein Cosmology

Cited by in corpus (14)

• Wave packets and initial conditions in quantum cosmology
• Multi-dimensional classical and quantum cosmology: Exact solutions, signature transition and stabilization
• Signature change from Schutz's canonical quantum cosmology and its classical analogue
• Using Spectral Method as an Approximation for Solving Hyperbolic PDEs
• Bianchi-I classical and quantum spinor cosmology with signature change
• Classical and quantum spinor cosmology with signature change
• A quantum cosmology and discontinuous signature changing classical solutions
• Cosmological signature change in Cartan Gravity with dynamical symmetry breaking
• Canonical wave packets in quantum cosmology
• A method for solving systems of non-linear differential equations with moving singularities
• Signature Change by GUP
• Signature Change in Noncommutative FRW Cosmology
• Compactification and signature transition in Kaluza-Klein spinor cosmology
• Scalar-tensor cosmologies in a minisuperspace formulation: a case study