Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity

Abstract

The aim of this paper is to explore the complexity factor (CF) for those self-gravitating relativistic spheres whose evolution proceeds non-dynamically. We are adopting the definition of CF mentioned in \cite{PhysRevD.97.044010}, modifying it to the static spherically symmetric case, within the framework of a modified gravity theory (the Palatini $f(R)$ theory). In this respect, we have considered radial dependent anisotropic matter content coupled with spherical geometry and determined the complexity factor involved in the patterns of radial evolution. We shall explore the field and a well-known Tolman-Oppenheimer-Volkoff equations. After introducing structure scalars from the orthogonal decomposition of the Riemann tensor, we shall calculate complexity factor. An exact analytical model is presented by considering firstly ansatz provided by Gokhroo and Mehra. The role of matter variables and $f(R)$ terms are analyzed in the structure formation as well as their evolution through a complexity factor.

20 pages, 0 figures, version published in Physica Scripta

References in corpus (16)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Wormholes supported by hybrid metric-Palatini gravity
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
• A high redshift detection of the integrated Sachs-Wolfe effect
• Cosmological evolution in exponential gravity
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• Construction of Charged Cylindrical Gravastar-like Structures
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• Cosmological perturbations in gravitational energy-momentum complex

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