Black holes, cosmological singularities and change of signature

Abstract

There exists a widespread belief that signature type change could be used to avoid spacetime singularities. We show that signature change cannot be utilised to this end unless the Einstein equation is abandoned at the suface of signature type change. We also discuss how to solve the initial value problem and show to which extent smooth and discontinuous signature changing solutions are equivalent.

14pages, Latex, no figure

References in corpus (4)

• General Laws of Black-Hole Dynamics
• Failure of Standard Conservation Laws at a Classical Change of Signature
• Hamiltonian quantization of General Relativity with the change of signature
• On Cosmological Isotropy, Quantum Cosmology and the Weyl Curvature Hypothesis

Cited by in corpus (15)

• Signature Change on the Brane
• Lorentzian and signature changing branes
• Actions for signature change
• Metrics with distributional curvature
• Variational equations on mixed Riemannian-Lorentzian metrics
• Cosmological perturbations and classical change of signature
• General solutions of Einstein's spherically symmetric gravitational equations with junction conditions
• Signature change induces compactification
• Riemann-Cartan gravity with dynamical signature
• Can black holes have Euclidean cores?
• Singularity at the demise of a black hole
• On A. D. Sakharov's hypothesis of cosmological transitions with changes in the signature of the metric
• Pseudo-timelike loops in signature changing semi-Riemannian manifolds with a transverse radical
• A Transformation Theorem for Transverse Signature-Type Changing Semi-Riemannian Manifolds
• A Conceptual Introduction To Signature Change Through a Natural Extension of Kaluza-Klein Theory