Generalized linearly varying deceleration parameter solutions of higher dimensional universe in f(R, T) theory


Modern Physics Letters A, vol.39, no.3, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1142/s0217732323501973
  • Journal Name: Modern Physics Letters A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Keywords: f (R, T) theory, FRW universe, linearly varying deceleration parameter
  • Çanakkale Onsekiz Mart University Affiliated: Yes


In this paper, generalized Friedmann-Robertson-Walker universe for Strange Quark Matter (SQM) and Normal Matter (NM) coupled with Domain Wall (DW) in form perfect fluid have been investigated in f(R,T) modified theory. f(R,T) function has been assumed as f(R,T)=R+μT and Modified Field Equations (MEFEs) have been attained. The MEFEs of the constructed model do not allow solutions of open and closed FRW universe. Obtained modified field equations of higher dimensional flat FRW universe have been solved by using Linearly Varying Deceleration Parameter (LVDP) suggested by Akarsu and Dereli [Int. J. Theor. Phys. 51, 612 (2012)]. Pressure and energy density of the matter distributions for the Linearly Expansion Model (LEM) and Constant Expansion Model (CEM) have been attained as decreasing values by the cosmic time t and constant μ in f(R,T) gravity. But for the Exponential Expansion Model (XEM), these quantities have been obtained as time-independent. It is found out that the domain wall behaves like invisible matter when s1=0 due to negative domain wall tension (σwLSQM=-Bc) for SQM with DW of LEM. Strange quark matters for LDW and CDW models behave like cold dark matter when s1=0 and s3=0, respectively. One can say that SQM with DW for LEM and CEM may cause the expansion of the universe in these special situations. Also, solutions of XEM have shown that domain wall matter behaves like stiff matter when μ=20p. All solutions of the constructed model in f(R,T) theory have been reduced to General Relativity (GR) theory solutions by assuming μ=0. Finally, all solutions obtained have been discussed in detail.