Minimally deformed anisotropic stars by gravitational decoupling in Einstein–Gauss–Bonnet gravity

Abstract

In this article, we develop a theoretical framework to study compact stars in Einstein gravity with the Gauss–Bonnet (GB) combination of quadratic curvature terms. We mainly analyzed the dependence of the physical properties of these compact stars on the Gauss–Bonnet coupling strength. This work is motivated by the relations that appear in the framework of the minimal geometric deformation approach to gravitational decoupling (MGD-decoupling), we establish an exact anisotropic version of the interior solution in Einstein–Gauss–Bonnet gravity. In fact, we specify a particular form for gravitational potentials in the MGD approach that helps us to determine the decoupling sector completely and ensure regularity in interior space-time. The interior solutions have been (smoothly) joined with the Boulware–Deser exterior solution for 5D space-time. In particular, two different solutions have been reported which comply with the physically acceptable criteria: one is the mimic constraint for the pressure and the other approach is the mimic constraint for density. We present our solution both analytically and graphically in detail.

Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes

“…Before solving the wave equation, as there is no analytical solution to Eq. ( 30), its right-hand side can be expanded up to the second order in α, corresponding to the same order of the effective potential: (39) which can be integrated analytically, up to O(α 3 ), yielding…”

An Axially Symmetric Transitioning models with Observational Constraints

“…In some modified theories of gravity accelerated expansion of the universe has been explained without applying the DE component in a different way of thinking. A variety of gravity theories such as f(R) [42,43,44], f(T) [45], and f(G) [46], f(Q,T) [47,48], f(Q) [49,50,51], f(R,G) [52], f(T,B) gravity [53], and Einstein-Gauss-Bonnet theory [54,55,56,57,58,59] were proposed. In the same direction, Harko et al [60] developed f(R,T)gravity theory.…”

Minimally deformed charged stellar model by gravitational decoupling in 5D Einstein–Gauss–Bonnet gravity

“…This method is successfully applied in black hole scenarios [70][71][72][73][74][75][76] and one can extended to convert any non-rotating black hole spacetime into a rotating one [77,78]. According to the literature mentioned above, investigations of the structure of compact stars are carried out under the supposition that their matter is described by an anisotropic fluid [79,80].…”