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.

arXiv comment14 pages, dedicated to Metin Gurses on the occasion of his becoming an emeritus professor after 60 years of research and teaching

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