Class I polytropes for anisotropic matter

Abstract

In this work we study class I interior solutions supported by anisotropic polytropes. The generalized Lane–Emden equation compatible with the embedding condition is obtained and solved for a different set of parameters in both the isothermal and non-isothermal regimes. For completeness, the Tolman mass is computed and analysed to some extend. As a complementary study we consider the impact of the Karmarkar condition on the mass and the Tolman mass functions respectively. Comparison with other results in literature are discussed.

Relativistic compact stars in Tolman spacetime via an anisotropic approach

“…In the background of the conformal motion and under Karmarkar condition [14], several researchers studied the model of compact stars in presence of anisotropy which can be found in refs. [15][16][17][18][19][20][21][22][23]. The anisotropic compact star models have also been studied in the context of modified gravity.…”

Gravitational decoupling of generalized Horndeski hybrid stars

“…The gravitational decoupling was also used to study gravity coupled to hidden gauge fields [30] and to derive new physical features of superfluid stars [31]. Other models involving the gravitational decoupling have been developed [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49], with relevant applications to recently observed anisotropic stellar configurations [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. Also, the quantum entanglement entropy of anisotropic gravitational decoupled black holes revealed important directions towards placing the gravitational decoupling method in gauge/gravity duality [68,69].…”

Gravitational decoupling and superfluid stars

“…[31,32]. The MGD-decoupling has been also scrutinized and applied in diverse frameworks [33][34][35][36][37][38][39][40][41][42][43], also enclosing the analysis and scrutiny of recently observed anisotropic stars [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. Lower dimensional gravitational decoupling models were reported in Refs.…”