Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries

Abstract

This work aims to investigate some possible emergence of relativistic compact stellar objects in modified $f(\mathcal{G})$ gravity using Noether symmetry approach. For this purpose, we assume static spherically symmetric spacetime in the presence of isotropic matter distribution. We construct Noether symmetry generators along with associated conserved quantities by considering the standard choice of viable $f(\mathcal{G})$ gravity model i.e. $f(\mathcal{G})=\alpha {\mathcal{G}}^n$, where $\alpha$ is the model parameter. In particular, we use conservation relation acquired from the classical Noether approach by imposing some appropriate initial conditions to construct the metric potentials. The obtained conserved quantity play vital role in describing the stellar structure of compact stars. Moreover, by considering an appropriate numerical solution, some salient features of compact stellar structures like effective energy density, pressure, energy conditions, stability against equilibrium of the forces and speed of sound are discussed by assigning the suitable values of model parameter involved. Our study reveals that the compact objects in $f(\mathcal{G})$ gravity from Noether symmetry approach depend on the conserved quantity obtained and the model parameter $\alpha$. In nutshell, Noether symmetries are quite helpful to generate solutions that follow physically accepted phenomena. Moreover, we observed that these obtained solutions are consistent with the astrophysical observational data, which depicts the viability of our proposed Noether symmetry scheme.

11 pages, 5 figures

References in corpus (31)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• From inflation to dark energy in the non-minimal modified gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Anisotropic Compact Stars in $f(G)$ Gravity
• Axially symmetric solutions in f(R)-gravity
• Noether symmetries in Bianchi universes
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• Anisotropic Compact Stars in $f(T)$ Gravity
• Noether Gauge Symmetry Approach in f(R) Gravity
• Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories
• The Weak Energy Condition and the Expansion History of the Universe
• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Regular black holes in $f(G)$ gravity
• Lookback time bounds from energy conditions
• LRS Bianchi type I universes exhibiting Noether symmetry in the scalar-tensor Brans-Dicke theory
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Spherical and cylindrical solutions in f (T) gravity by Noether Symmetry Approach
• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• Exact spherically symmetric solutions in modified Gauss-Bonnet gravity from Noether symmetry approach
• Approximate Noether gauge symmetries of Bardeen model
• $f(\mathcal{R},\phi ,\chi )$ Cosmology with Noether Symmetry
• Mimetic Compact Stars
• Noether's stars in $f(\mathcal{R})$ gravity

Cited by in corpus (9)

• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Impact of Tolman-Kuchowicz Potentials on Gauss-Bonnet Gravity and Isotropic Stellar Structures
• Study of Compact Stars in $\mathcal{R}+\alpha \mathcal{A}$ Gravity
• Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Study of Viable Compact Stellar Structures in Non-Riemannian Geometry
• Stellar Structures admitting Noether Symmetries in $f(\mathcal{R},\mathcal{T})$ Gravity
• Constraints on Cubic and $f(P)$ Gravity from the Cosmic Chronometers, BAO & CMB datasets : Use of Machine Learning Algorithms
• Thin-shell gravastar in a noncommutative BTZ geometry