English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate $f(T)$ theory coupled with a nonlinear source ofelectrodynamics, for a spherically symmetric and static spacetime in $4D$. Were-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalizethe no-go theorem for any content that obeys the relationship$\mathcal{T}^{\;\;0}_{0}=\mathcal{T}^{\;\;1}_{1}$ for the energy-momentumtensor and a given set of tetrads. Our results show new classes of solutionswhere the metrics are related through $b(r)=-Na(r)$. We do the introductoryanalysis showing that solutions are that of asymptotically flat black holes,with a singularity at the origin of the radial coordinate, covered by a singleevent horizon. We also reconstruct the action for this class of solutions andobtain 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 theLagrangian density of Born-Infeld, we obtain a new class of charged black holeswhere the action reads $f(T) = -16\beta_{BI} \left[1 - \sqrt{1 +(T/4\beta_{BI})}\right]$.

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