Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects

Abstract

The purpose of this paper is to check the impact of observer and Palatini $f(R)$ terms in the formulations of inhomogeneity factors of spherical relativistic systems. We consider Lemaître-Tolman-Bondi dynamical model as a compact object and studied its evolution with both tilted and non-tilted observers. We performed our analysis for particular cases of fluid distribution in tilted frame and found some energy density irregularity variables. We found that these variables are drastically different from those observed by non-tilted observer. The conformal flat dust and perfect matter contents are homogeneous as long as they impregnate vacuum core. However, this restriction is relaxed, when the complexity in the fluid description is increased. The radial fluid velocity due to tilted congruences and Palatini $f(R)$ curvature terms tend to produce hindrances in the appearance of energy-density inhomogeneities in the initially regular spherical stellar populations.

22 pages, no figure, version accepted for publication in Physical Review D

References in corpus (22)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Conditions for the cosmological viability of f(R) dark energy models
• Inflationary cosmology in modified gravity theories
• Wormholes supported by hybrid metric-Palatini gravity
• Nonadiabatic charged spherical gravitational collapse
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• Spherically symmetric spacetimes in f(R) gravity theories
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• The interior spacetimes of stars in Palatini f(R) gravity
• Axially symmetric static sources of gravitational field
• Geodesic Congruences in the Palatini f(R) Theory
• Earliest stages of the non-equilibrium in axially symmetric, self-gravitating, dissipative fluids
• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity
• Shearing and geodesic axially symmetric perfect fluids that do not produce gravitational radiation

Cited by in corpus (13)

• Energy Conditions in Modified $f(G)$ Gravity
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Non violation of energy conditions in wormholes modelling
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• Evolution of Compact Stars and Dark Dynamical Variables
• Gravastars in $f(R,G)$ Gravity
• The Gibbs paradox, the Landauer principle and the irreversibility associated with tilted observers
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• Stable Charged Radiating Systems Associated with Tilted Observers