Noether's stars in $f(\mathcal{R})$ gravity

Abstract

The Noether Symmetry Approach can be used to construct spherically symmetric solutions in $f(\mathcal{R})$ gravity. Specifically, the Noether conserved quantity is related to the gravitational mass and a gravitational radius that reduces to the Schwarzschild radius in the limit $f(\mathcal{R})\to \mathcal{R}$. We show that it is possible to construct the $M-R$ relation for neutron stars depending on the Noether conserved quantity and the associated gravitational radius. This approach enables the recovery of extreme massive stars that could not be stable in the standard Tolman-Oppenheimer-Volkoff based on General Relativity. Examples are given for some power law $f(\mathcal{R})$ gravity models.

7 pages, 4 figures, accepted for publication in Physics Letter B

References in corpus (15)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• The Newtonian Limit of F(R) gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Analytical representations of unified equations of state of neutron-star matter
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Higher-order gravity and the cosmological background of gravitational waves
• Testing gravitational theories using Eccentric Eclipsing Detached Binaries
• Topological invariant quintessence
• Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories

Cited by in corpus (8)

• Stellar structure models in modified theories of gravity: lessons and challenges
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
• Invariant quantities of Scalar-Tensor Theories for stellar structure
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity