Role of Structure Scalars on the evolution of Compact Objects in Palatini $f(R)$ Gravity

Abstract

The utmost concern of this article is the construction of modified scalar functions (structure scalars) by taking Palatini $f(R)$ gravitational theory into account. At first, a general formalism is established in which we assess gravitational stellar equations by putting into use the Palatini's technique. Later, from the perspective of tilted observer, we Lorentz boosted the components of energy-momentum tensor using relative velocity $\omega$. To examine the physical as well as mathematical aspects of the fluid source, we carry out a detailed analysis of kinematical variables by evaluating shear tensor and scalar, four-acceleration and expansion scalar. For the fluid content inside our spherical star, we inferred the mass function (geometric mass) and the active gravitational mass. Raychaudhuri equation, Bianchi identities in addition to few other equations are worked out to discern the structure formation and analyze the object's evolutionary stages. The Riemann tensor is then broken up orthogonally to set up few scalar functions connected with fundamental physical characteristics of the fluid source like energy density, effects of tidal forces and anisotropic stresses etc.

arXiv comment33 pages, version accepted for publications in Chinese Journal of Physics

References in corpus (25)

• Accelerating Universes with Scaling Dark Matter
• Evolutionary and pulsational properties of white dwarf stars
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Stellar structure models in modified theories of gravity: lessons and challenges
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• On the role of density inhomogeneity and local anisotropy in the fate of spherical collapse
• Junction Conditions in f(R) Theories of Gravity
• Junction conditions for F(R)-gravity and their consequences
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• Stability of spherically symmetric solutions in modified theories of gravity
• Complexity and white-dwarf structure
• Thermal Evolution of Compact Stars
• Tilted Lemaitre-Tolman-Bondi Spacetimes: Hydrodynamic and Thermodynamic Properties
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Complexity and neutron stars structure
• Construction of Charged Cylindrical Gravastar-like Structures
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Junction conditions in Palatini $f(R)$ gravity
• Shear-free and homology conditions for self-gravitating dissipative fluids
• Gravitational Collapse in General Relativity and in $R^2$-gravity: A Comparative Study
• On the active gravitational mass of a non-spherical source leaving hydrostatic equilibrium
• Effects of Electromagnetic Field on the Structure of Massive Compact Objects
• Junction Conditions and local Spacetimes in General Relativity
• Self-gravitating stellar collapse: explicit geodesics and path integration

Cited by in corpus (5)

• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Influence of Electromagnetic Field on Hyperbolically Symmetric Source
• Junction conditions in gravity theories with extra scalar degrees of freedom
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation