Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory

Abstract

In this paper, we consider isotropic solution and extend it to two different exact well-behaved spherical anisotropic solutions through minimal geometric deformation method in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ gravity. We only deform the radial metric component that separates the field equations into two sets corresponding to their original sources. The first set corresponds to perfect matter distribution while the other set exhibits the effects of additional source, i.e., anisotropy. The isotropic system is resolved by assuming the metric potentials proposed by Krori-Barua while the second set needs one constraint to be solved. The physical acceptability and consistency of the obtained solutions are analyzed through graphical analysis of effective matter components and energy bounds. We also examine mass, surface redshift and compactness of the resulting solutions. For particular values of the decoupling parameter, our both solutions turn out to be viable and stable. We conclude that this curvature-matter coupling gravity provides more stable solutions corresponding to a self-gravitating geometry.

29 pages, 10 figures

References in corpus (11)

• f(R,T) gravity
• Extra force in $f(R)$ modified theories of gravity
• The Large Scale Structure of f(R) Gravity
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Extreme neutron stars from Extended Theories of Gravity
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Collapsing spherical stars in f(R) gravity
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity

Cited by in corpus (17)

• Cosmological Solutions through Gravitational Decoupling in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}})$ Gravity
• Effect of Extended Gravitational Decoupling on Isotropization and Complexity in f(\mathbb{R},\mathbb{T}) Theory
• Effects of Charge and Gravitational Decoupling on Complexity and Isotropization of Anisotropic Models
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Study of Charged Compact Stars in Non-minimally Coupled Gravity
• Decoupled Anisotropic Buchdahl's Relativistic Models in $f(\mathbb{R},\mathbb{T})$ Theory
• Extended Decoupled Anisotropic Solutions in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \chi }{\mathcal{T}}^{\gamma \chi })$ Gravity
• Study of Anisotropic Compact Stars in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\chi \xi }{\mathcal{T}}^{\chi \xi })$ Gravity
• Anisotropic Stellar Models with Tolman IV Spacetime in Non-minimally Coupled Theory
• Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory
• Extending Finch-Skea Isotropic Model to Anisotropic Domain in Modified $f(\mathcal{R},\mathcal{T})$ Gravity
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^2)$ Gravity