The extended minimal geometric deformation of SU(N) dark glueball condensates

Abstract

The extended minimal geometric deformation (EMGD) procedure, in the holographic membrane paradigm, is employed to model stellar distributions that arise upon selfinteracting scalar glueball dark matter condensation. Such scalar glueballs are SU(N ) Yang-Mills hidden sectors beyond the Standard Model. Then, corrections to the gravitational wave radiation, emitted by SU(N ) EMGD dark glueball stars mergers, are derived, and their respective spectra are studied in the EMGD framework, due to a phenomenological brane tension with finite value. The bulk Weyl fluid that drives the EMGD is then proposed to be experimentally detected by enhanced windows at the eLISA and LIGO.

Deformed AdS$$_4$$–Reissner–Nordström black branes and shear viscosity-to-entropy density ratio

“…A useful constraint to the Einstein's effective field equations on the brane [7] within the holographic membrane paradigm is to demand the general-relativistic limit, consisting of a rigid brane, meaning a brane that has infinite tension. This condition, in fact, produces a physically correct low-energy limit, allowing the construction of black holes on the brane [8][9][10][11][12].…”

“…(6), one has u = r 0 /r . Hereon the coordinate u will be used instead of r , that is, the functions appearing in the metric coefficients (2) and (10) are now f = f (u) and n = n(u), respectively. The left-hand side of Eq.…”

“…For it, the ADM formalism was employed, assuming the temporal component fixed, and the Hamiltonian constraint implemented a deformation of the AdS 4 -RN black brane, given by Eqs. (6) and (10). The Killing equation for the Killing vector of the deformed AdS 4 -RN black brane was then solved, yielding the values of the β free parameter given by Eqs.…”

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

“…Casadio et al [31] employed this concept for the isotropization of an anisotropic solution with zero complexity factor. Furthermore, the application of gravitational decoupling by MGD includes the solutions of a variety of problems which are discussed in [32]- [51], however the extended version was developed in [52]. Sharif and Ama-Tul-Mughani [53] employed extended version of geometric deformation decoupling method and developed the solution for anisotropic static sphere.…”

A simple method to generate exact physically acceptable anisotropic solutions in general relativity

“…[8,9,10,11,12,13], and for some recent applications Refs. [14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37]).…”