Anisotropic Strange Star Model Beyond Standard Maximum Mass Limit by Gravitational Decoupling in f(Q)$f(Q)$ Gravity

Abstract

The current theoretical development identified as the gravitational decoupling via Complete Geometric Deformation (CGD) method that has been introduced to explore the nonmetricity Q effects in relativistic astrophysics. In the present work, we have investigated the gravitationally decoupled anisotropic solutions for the strange stars in the framework of ffalse(Qfalse)$f(Q)$ gravity by utilizing the CGD technique. To do this, we started with Tolman metric ansatz along with the MIT Bag model equation of state related to the hadronic matter. The solutions of the governing equations of motions are obtained by using two approaches, namely the mimicking of the θ sector to the seed radial pressure and energy density of the fluid model. The obtained models describe the self‐gravitating static, compact objects whose exterior solution can be given by the vacuum Schwarzschild Anti‐de Sitter spacetime. In particular, we modeled five stellar candidates, viz., LMC X‐4, PSR J1614‐2230, PSR J0740+6620, GW190814, and GW 170817 by using observational data. The rigorous viability tests of the solutions have been performed through regularity and stability conditions. We observed that the nonmetricity parameter and decoupling constant show a significant effect on stabilizing to ensure the physically realizable stellar models. The innovative feature of this work is to present the stable compact objects with masses beyond the 2M⊙$2 M_{\odot }$ without engaging of exotic matter. Therefore, the present study shows a new perception and physical significance about the exploration of ultra‐compact astrophysical objects.

Hamiltonian Analysis of f(Q)$f(\mathbb {Q})$ Gravity and the Failure of the Dirac–Bergmann Algorithm for Teleparallel Theories of Gravity

“…This is particularly true when one considers that the corresponding Lagrangians can be readily elevated to arbitrary non-linear functions. In recent literature, there has been considerable focus on theories of modified gravity that utilize scalar functions of the non-metricity tensor, known as f (ℚ) theories, [4] with very interesting cosmological [3,[5][6][7][8][9][10][11][12][13][14][15] as well as astrophysical [16][17][18][19][20][21][22] implications.…”

Constraining Parameters for the Accelerating Models in Symmetric Teleparallel Gravity

“…[31][32][33]). Maurya et al [34] investigated the gravitationally decoupled anisotropic solutions for the strange stars in the framework of gravity by utilizing the CGD technique. Further, a class of f (Q) theories were proposed, in which, the non-metricity Q is nonminimally coupled to the matter Lagrangian [35] or to the scalar field [36] leading to interesting phenomenology.…”

Relativistic wormhole surrounded by dark matter halos in symmetric teleparallel gravity

“…It has been argued that analytical self-accelerating cosmological solutions arise naturally in the early-and late-time Universe. [76] Recently, the physical properties of strange star model using MGD and extended MGD approaches along with constraints on maximum mass limit under f () gravity have been investigated by Maurya et al [78,79] Hassan et al [80] explored the wormhole solutions first time in the background of symmetric teleparallel f (Q) gravity. They considered some specific shape functions and explored the energy conditions to check the nature of the matter for the possible existence of a wormhole.…”