Cosmographic implications of f(R,T) gravitation

Sofuoğlu D., Alfedeel A. H. A., Abebe A.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.138, sa.8, ss.1-8, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 138 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1140/epjp/s13360-023-04335-0
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Sayfa Sayıları: ss.1-8
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we will explore the cosmological implications of the flat Friedmann-Robertson-Walker model within the context of f ( R, T) = R + alpha R-2 + beta ln(T/T-0) gravity, where R is the Ricci scalar, and T is the trace of the energy-momentum tensor. We prove that the generalized Friedmann equation has nonlinear differential equations of the third order when a nonlinear term is introduced into the f (R, T) formula. In redshift space, the modified theory's field equations are converted into a coupled system of first-order differential equations. The current values of q, j, and s, the deceleration, the jerk, and the snap parameters from Planck 2018 are used as initial conditions with Runge-Kutta fourth-order method to solve for the model numerically. Our obtained model successfully explains the phase transition of the universe's expansion (from an early decelerating phase to the late accelerating phase).