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Signature Change in $f(R, T_φ)$ Theory

Serkan Doruk Hazinedar, Yaghoub Heydarzade

Abstract

We investigate a simple $f(R, T_φ)$ 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.

Signature Change in $f(R, T_φ)$ Theory

Abstract

We investigate a simple 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.
Paper Structure (3 sections, 77 equations)

This paper contains 3 sections, 77 equations.

Table of Contents

  1. Introduction
  2. $f(R,T_\phi)$ Model
  3. Conclusion