Signature Change in $f(R,T_{\varphi })$ Theory

Abstract

We investigate a simple $f(R,T_{\varphi })$ gravity model coupled to a scalar field and demonstrate that the theory admits classical degenerate metric solutions, analogous to those known in general relativity. In particular, we identify a class of solutions that exhibits a smooth transition from a Euclidean to a Lorentzian domain, thus yielding a classical dynamical realization of signature change.

14 pages, dedicated to Metin Gurses on the occasion of his becoming an emeritus professor after 60 years of research and teaching

References in corpus (3)

• f(R,T) gravity
• Cosmology and the Fate of Dilatation Symmetry
• Signature change from Schutz's canonical quantum cosmology and its classical analogue