Title: 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 utilized to this end unless the Einstein equation is...There exists a widespread belief that signature-type change could be used to avoid spacetime singularities. We show that signature change cannot be utilized 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 what extent smooth and discontinuous signature changing solutions are equivalent.Read More