Preliminary study on the impact of stress-energy tensor compared to scalar field in Nonminimal Derivative model

Abstract

In this article, we report the results of comparing the effect of using trace of stress-energy tensor versus real-valued scalar field in Nonminimal Derivative Coupling gravitation model, respectively denoted as NMDC-T and NMDC-phi. We employ the model into an incompressible star and see the effect of both models NMDC-T and NMDC-phi on the compactness and mass-radius relation. We find that coupling parameters of NMDC-T is less sensitive than NMDC-phi.

Figures (5)

• Figure 1: Simplified flowchart of the shooting method for NMDC-phi model.
• Figure 2: NMDC-phi variation of parameter $\eta>0$.
• Figure 3: NMDC-T variation of parameter $\beta>0$ and $\beta<0$.
• Figure 4: MR relation (left) and central pressure vs. compactness relation (right) for NMDC-phi.
• Figure 5: MR relation (left) and central pressure vs. compactness relation (right) for NMDC-T.