Gravitational decoupling of generalized Horndeski hybrid stars

Abstract

Gravitational decoupled compact polytropic hybrid stars are here addressed in generalized Horndeski scalar-tensor gravity. Additional physical properties of hybrid stars are scrutinized and discussed in the gravitational decoupling setup. The asymptotic value of the mass function, the compactness, and the effective radius of gravitational decoupled hybrid stars are studied for both cases of a bosonic and a fermionic prevalent core. These quantities are presented and discussed as functions of Horndeski parameters, the decoupling parameter, the adiabatic index, and the polytropic constant. Important corrections to general relativity and generalized Horndeski scalar-tensor gravity, induced by the gravitational decoupling, comply with available observational data. Particular cases involving white dwarfs, boson stellar configurations, neutron stars, and Einstein–Klein–Gordon solutions, formulated in the gravitational decoupling context, are also scrutinized.

An anisotropic extension of Heintzmann IIa solution with vanishing complexity factor

“…[32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]). Even this framework has been used widely in several scenarios such as 2 + 1 space-times [50][51][52][53][54][55], higher dimensions [56,57], asymptotically (A-)dS space-times [58], for axially symmetric systems and rotating black holes [59], hairy black holes [60][61][62], Cosmology [63,64], solutions in the background of Reissner-Nordström space-time [65][66][67], modified gravity theories [68][69][70][71][72][73][74][75][76][77][78], as well in braneworld gravity [79][80]…”

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).…”

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.…”