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

Abstract

We investigate the possibility of existing a class of compact charged spheres made of a charged perfect fluid in the framework of Einstein–Gauss–Bonnet theory in five-dimensional spacetime (5D EGB). In order to study spherically symmetric compact stars in EGB gravity, we prefer to apply a systematic and direct approach to decoupling gravitational sources via the minimal geometric deformation approach (MGD), which allows us to prove that the fluid must be anisotropic. In fact, we specify a well-known Krori–Barua spacetime in the MGD approach that helps us to determine the decoupling sector completely. Indeed, by using this approach, we found an exact and physically acceptable solution which satisfies all the elementary criteria of physical acceptability for a stellar solution via mimic approach. Finally, we show that the compactness factor in the presence of gravitational decoupling satisfies the Buchdahal limit under 5D EGB gravity.

Decoupled anisotropic Buchdahl’s relativistic models in f( R,T ) theory

“…The anisotropy was also discussed in the interior of SMC X-1 and Cen X-3 stars from which we found this factor to be much greater as compared to that obtained in the current setup. Maurya et al [87] investigated the possible existence of compact stars influenced by the electromagnetic field in the framework of Gauss-Bonnet gravity and determined the exact solutions to the corresponding field equations in contrast with our work. It is important to stress here that our models I, II and III are consistent with [45,88] and [89], respectively.…”

New Wormhole Solutions in Quadratic f(Q)$f(\mathcal {Q})$‐Gravity Regime

“…[ 23 ] There have been numerous attempts to investigate the plausible models of the fictitious structure of wormholes. In the literature, there has been much discussion regarding the occurrence of wormhole solutions by including scalar fields, [ 24 ] quantum effects, [ 25 ] in a semiclassical gravity theory, [ 26 ] non‐singular spacetimes, [ 27 ] in the platform of brane‐world, [ 28,29 ] supported by Chaplygin gas with its modified and generalized forms, [ 30–33 ] in Gauss‐Bonnet theory, [ 34,35 ] rastall theory of gravity, [ 36 ] Lovelock gravity, [ 37–40 ] $$f(\mathcal {T})$$ gravity, [ 41,42 ] $$f(\mathcal {R, T})$$ gravity, [ 43,44 ] $$f(\mathcal {R})$$ gravity [ 45,46 ] etc.…”

A Static and Spherically Symmetric Hairy Black Hole in the Framework of the Gravitational Decoupling

“…It is our main goal here to construct a hairy black hole with a generic matter sector through the Gravitational Decoupling (GD) approach [ 9,10 ] (see [11–65] for applications of GD in standard general relativity. For applications in higher dimensions see [66, 67], for example). Of course, this is not the first time that the GD is used as a tool to construct hairy black holes.…”