Spatially Hyperbolic Gravitating Sources in $\Lambda$-Dominated Era

Abstract

This study focuses on the impact of the cosmological constant on hyperbolically symmetric matter configurations in static background. We extend the work of Herrera \cite{herrera2021hyperbolically} and describe the influences of such repulsive character on a few realistic features of hyperbolical anisotropic fluids. After describing Einstein-$\Lambda$ equations of motion, we elaborated the corresponding mass function along with its conservation laws. In our study, besides observing negative energy density, we notice the formation of Minkowskian core as matter content is compelled itself not to follow inward motion near the axis of symmetry. Three families of solution are found in $\Lambda$-dominated epoch. First is calculated by keeping zero value to Weyl scalar, while the second solution maintains zero complexity in the subsequent changes of the hyperbolical compact object. However, the last model encompasses stiff fluid within the self-gravitating system. Such type of theoretical setup suggests its direct link to study a few particular quantum scenarios where negative behavior of energy density is noticed at $\Lambda$ dominated regime.

arXiv comment14 pages, 4 figures, version accepted for publications in Universe

References in corpus (39)

• Cosmological parameters from SDSS and WMAP
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Strange star equation of state fits the refined mass measurement of 12 pulsars and predicts their radii
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Energy conditions in f(R)-gravity
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• The Null Energy Condition and its violation
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• 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
• Compact stars in $f(R,T)$ gravity
• A high redshift detection of the integrated Sachs-Wolfe effect
• Anisotropic stars as ultracompact objects in General Relativity
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• On the Role of Electric Charge and Cosmological Constant in Structure Scalars
• Modelling of anisotropic compact stars of emebedding class one
• Cylindrically Symmetric Relativistic Fluids: A Study Based on Structure Scalars
• Galactic Potentials
• Complexity factors for axially symmetric static sources
• Charged anisotropic compact objects by gravitational decoupling
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• A family of charged compact objects with anisotropic pressure
• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• Wormhole Modeling Supported by Non-Exotic Matter
• Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
• Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case
• Instability of Meridional Axial System in f(R) Gravity
• Hyperbolically symmetric static fluids: A general study
• Complexity of the Bondi metric
• Measure of Complexity in Self-Gravitating Systems using Structure Scalars
• Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry
• New perspectives on the TOV equilibrium from a dual null approach
• Influence of Electromagnetic Field on Hyperbolically Symmetric Source
• Charged anisotropic compact objects obeying Karmarkar condition
• Violation of Strong Energy Condition in Effective Loop Quantum Cosmology

Cited by in corpus (3)

• Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Gaussian curvature of spherical shells: A geometric measure of complexity