A cosmological exact solution of generalized Brans-Dicke theory with complex scalar field and its phenomenological implications

Metin Arık 1 , Mehmet Çalık 2 , and Nihan Katırcı 3
  • 1 Department of Physics, Bogazici University, Bebek Istanbul, Turkey
  • 2 Department of Mathematics and Computer, Beykent University, Sisli-Ayazaga Campus, Istanbul, Turkey
  • 3 Physics Division, Faculty of Arts and Sciences, Doğuş University, Acıbadem-Kadıköy, 34722, Istanbul, Turkey

Abstract

When the Brans-Dicke theory is formulated in terms of the Jordan scalar field φ, the amount of dark energy is related to the mass of this field. We investigate a solution which is relevant to the late universe. We show that if φ is taken to be a complex scalar field, then an exact solution to the vacuum equations requires that the Friedmann equation possesses both a constant term and one which is proportional to the inverse sixth power of the scale factor. Possible interpretations and phenomenological implications of this result are discussed.

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