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

TL;DR

This study compares the effects of stress-energy tensor trace and scalar field in a Nonminimal Derivative Coupling gravity model on star properties, revealing differing sensitivities of coupling parameters.

Contribution

It introduces a comparison between stress-energy tensor and scalar field effects in NMDC models applied to stellar structures.

Findings

NMDC-T coupling parameters are less sensitive than NMDC-phi.

Both models affect star compactness and mass-radius relations.

The study provides insights into model sensitivities in gravitational theories.

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.