Gravitational decoupled anisotropic spherical solutions in f(R, T) gravity by minimal geometric deformation approach

Abstract

This article deals with the new systematic approach that is gravitational decoupling via minimal geometric deformation (MGD) approach. Here, we present the anisotropic spherical solution in f (R, T) gravity by adopting MGD approach. For this, we consider the Tolman V isotropic solution and extend it to anisotropic domain. For comprehensive results in f (R, T) theory, we assume viable model which is a linear combination of generalized Starobinsky f (R) model (Starobinsky 1980 Phys. Lett. B 91, 99) and λT (where T is the trace of T ij ). We are producing two different versions of anisotropic solution adopting two different mimic constraints. This technique helps us to find the new groups of anisotropic solutions through a single isotropic solution. We analyze the physical behavior of the anisotropic solutions through energy conditions and causality conditions. The graphical representation shows that both solutions satisfy all the energy conditions for different ranges of parameters. We conclude that both obtained models present the realistic behavior satisfying the all physical constraints and stability criterion.

Gravitational Decoupling as a Generator of Curvature and Matter Distribution

“…For example, GD allows the coupling (decoupling) of gravitational sources to extend (reduce) well-known solutions into more complex (simple) domains. [4][5][6][7][8][9][10][11][12][13][14] Also, it has been implemented to find solutions in gravitational theories beyond Einstein's theory [15][16][17] and to generate static and rotating hairy black hole solutions. [18][19][20][21][22][23][24] More recently, it has been used to study the exchange of energy between gravitational sources.…”

Relativistic models for vanishing complexity factor and isotropic star in embedding Class I spacetime using extended geometric deformation approach

“…Later on, the MGD technique has been generalized and its extension is referred to as the complete geometric deformation (CGD) approach [55]. Using the above methodologies, several works have been investigated using the selfgravitating systems in 4D [56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75] as well as in 5D EGBgravity [76][77][78]. Due to the wide use of the gravitational decoupling approach, it has been used as a powerful tool to investigate exact solutions in the context of the complexity factor and energy exchange in fluid distributions [79][80][81][82][83][84][85][86].…”

Minimally Deformed Wormholes Inspired by Noncommutative Geometry

“…[48,[55][56][57][58][59][60][61][62][63][64][65][66][67][68][69] Also, this approach has been used to obtain new black hole solutions (hairy and non-hairy) [70][71][72][73] and, the properties of some of these solutions have been analyzed in [74]. Beyond the mentioned scenarios, this scheme was spread out into the context of 2+1 [75][76][77] and higher dimensions, [78,79] cosmology, [80] black hole thermodynamics, [81] black strings, [82] holography, [83,84] axially symmetric geometries, [85] modified gravity theories [86][87][88] and the so-called inverse problem 1 . [89][90][91] One of the most interesting features of this methodology, is the richness of the decoupler sector {𝜃 𝜇𝜈 ; f (r)}.…”