This research proposes a theoretical framework extending the f(R, Tφ) signature change mechanism to anisotropic Bianchi cosmologies with multiple scalar fields, analyzing junction conditions and dynamical isotropization post-signature transition.
Key findings
Generalizes f(R, Tφ) gravity to anisotropic Bianchi type-I, type-II, and type-V cosmologies.
Introduces multi-field generalization of scalar fields non-minimally coupled to modified gravity.
Derives complete modified field equations and analyzes junction conditions across signature-changing hypersurfaces.
Establishes conditions for dynamical isotropization following the signature transition.
Demonstrates attractor solutions approaching isotropic de Sitter expansion in the Lorentzian domain for Bianchi-I with two scalar fields.
Limitations & open questions
Further research needed to fully understand quantum-to-classical transition in anisotropic quantum cosmology.
Observational prospects and comparison with alternative approaches require deeper investigation.