English

Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures

General Relativity and Quantum Cosmology 2021-04-28 v1 High Energy Physics - Theory

Abstract

The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in f(R,T,Q)f(R,T,Q) gravitational theory, where RR is the Ricci scalar, TT is the trace part of energy momentum tensor and QRαβTαβQ\equiv R_{\alpha\beta}T^{\alpha\beta}. In this context, we have considered locally anisotropic spherical matter distribution and calculated field equations and conservation laws. After the orthogonal splitting of the Riemann curvature tensor, we found the corresponding complexity factor with the help of structure scalars. It is seen that the system may have zero complexity factor if the effects of energy density inhomogeneity and pressure anisotropy cancel the effects of each other. All of our results reduce to general relativity on assuming f(R,T,Q)=Rf(R,T,Q)=R condition.

Keywords

Cite

@article{arxiv.2005.10697,
  title  = {Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures},
  author = {Z. Yousaf and Maxim Yu. Khlopov and M. Z. Bhatti and T. Naseer},
  journal= {arXiv preprint arXiv:2005.10697},
  year   = {2021}
}

Comments

Accepted by MNRAS