4.7 Article

Influence of modification of gravity on the complexity factor of static spherical structures

Journal

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 495, Issue 4, Pages 4334-4346

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/mnras/staa1470

Keywords

black hole physics; gravitation; hydrodynamics; methods: analytical; stars: neutron; pulsars: general; dark energy

Funding

  1. National Research Project for Universities (NRPU)
  2. National Research Project for Universities (NRPU), Higher Education Commission, Pakistan [8754/Punjab/NRPU/RD/HEC/2017]
  3. Russian Science Foundation [18-12-00213]
  4. Russian Science Foundation [18-12-00213] Funding Source: Russian Science Foundation

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The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in f(R, T, Q) gravitational theory, where R is the Ricci scalar, T is the trace part of energy-momentum tensor, and Q = 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) = R condition.

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