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Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources

2005/06/30 by T. Christodoulakis, Th. Grammenos, Ch. Helias +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Decoupling (probability) #Field equation #Ode #Perfect fluid #Quantum and Classical Electrodynamics #Scalar (mathematics) #Scalar field #Scalar theories of gravitation #Space time #Type (biology) #gr-qc

paper · pdf · doi:10.1063/1.2188210

published as J.Math.Phys. 47 (2006) 042505 · latex2e source file,14 pages, no figures; (v3): minor corrections, to appear in J. Math. Phys

arxiv created 2006/02/24 · openalex publication_date 2006/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The scalar field degree of freedom in Einstein’s plus matter field equations is decoupled for Bianchi type I and V general cosmological models. The source, apart from the minimally coupled scalar field with arbitrary potential V(Φ), is provided by a perfect fluid obeying a general equation of state p=p(ρ). The resulting ODE is, by an appropriate choice of final time gauge affiliated to the scalar field, reduced to first order, and then the system is completely integrated for arbitrary choices of the potential and the equation of state.

Citations