arXiv subjects

Mahouton J. S. Houndjo

Publications and source records attributed to Mahouton J. S. Houndjo.

3 recordsLinked to original sources

arXiv2016

Reconstruction, Thermodynamics and Stability of $Λ$CDM Model in $f(T,\mathcal{T})$ Gravity

We reconstruct the $Λ$CDM model for $f(T,\mathcal{T})$ Theory, where $T$ is the torsion scalar and $\mathcal{T}$ the trace of the energy-momentum tensor. The result shows that the action of $Λ$CDM is a combination of a linear term, a constant ($-2Λ$) and a non-linear term given by the product $\sqrt{-T}F_g\left[(T^{1/3}/16πG)\left(16πG\mathcal{T}+T+8Λ\right)\right]$, with $F_g$ being a generic function. We show that to maintain conservation of energy-momentum tensor should impose that $F_g[y]$ must be linear on the trace $\mathcal{T}$. This reconstruction decays in the $f(T)$ Theory for $F_g\equiv Q$, with $Q$ a constant. Our reconstruction describes the cosmological eras to the present time. The model present stability within the geometric and matter perturbations for the choice $F_g=y$, where $y=(T^{1/3}/16πG)\left(16πG\mathcal{T}+T+8Λ\right)$, except for geometric part to de Sitter model. We impose the first and second laws of thermodynamics to the $Λ$CDM and find the condition where they are satisfied, that is, $T_A,G_{eff}>0$, however where this is not possible for cases where we choose, leading to a breakdown of positive entropy and Misner-Sharp energy.

gr-qc↗

arXiv2015

Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source

We seek to obtain a new class of exact solutions of regular black holes in $f(T)$ Gravity with non-linear electrodynamics material content, with spherical symmetry in $4D$. The equations of motion provide the regaining of various solutions of General Relativity, as a particular case where the function $f(T)=T$. We developed a powerful method for finding exact solutions, where we get the first new class of regular black holes solutions in the $f(T)$ Theory, where all the geometrics scalars disappear at the origin of the radial coordinate and are finite everywhere, as well as a new class of singular black holes.

gr-qc↗

arXiv2015

Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity

We investigate $f(T)$ theory coupled with a nonlinear source of electrodynamics, for a spherically symmetric and static spacetime in $4D$. We re-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalize the no-go theorem for any content that obeys the relationship $\mathcal{T}^{\;\;0}_{0}=\mathcal{T}^{\;\;1}_{1}$ for the energy-momentum tensor and a given set of tetrads. Our results show new classes of solutions where the metrics are related through $b(r)=-Na(r)$. We do the introductory analysis showing that solutions are that of asymptotically flat black holes, with a singularity at the origin of the radial coordinate, covered by a single event horizon. We also reconstruct the action for this class of solutions and obtain the functional form $f(T) = f_0\left(-T\right)^{(N+3)/[2(N+1)]}$ and $\mathcal{L}_{NED} = \mathcal{L}_0\left(-F\right)^{(N+3)/[2(N+1)]}$. Using the Lagrangian density of Born-Infeld, we obtain a new class of charged black holes where the action reads $f(T) = -16β_{BI} \left[1 - \sqrt{1 + (T/4β_{BI})}\right]$.

gr-qc↗