arXiv 1503.074272015-03-24gr-qchep-th

$f(T)$引力场中具有非线性源的Born-Infeld和荷电黑洞

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

Ednaldo L. B. Junior, Manuel E. Rodrigues, Mahouton J. S. Houndjo

备注：: 18 pages, revtex4 format
发表信息：: JCAP06(2015)037
DOI：: 10.1088/1475-7516/2015/06/037

摘要：

本文研究了$4D$中球对称静态时空的$f(T)$理论与非线性电动力学源的耦合。我们重新获得Born-Infeld和Reissner-Nordstrom-AdS解。我们推广了任何内容，服从关系$\mathcal{T}^{\;\;0}_{0}=\mathcal{T}^{\;\;1}_{1}$的能量动量张量和一组给定的四元组的不去定理。我们的研究结果表明，通过$b(r)=-Na(r)$的指标相关的解决方案的新的类。我们做的介绍性分析表明，解决方案是渐近平坦的黑洞，在径向坐标的原点处的奇异性，由一个单一的事件视界覆盖。我们还重建了这类解的作用量，得到了$f(T) = f_0\left(-T\right)^{(N+3)/[2(N+1)]}$和$\mathcal{L}_{NED} = \mathcal{L}_0\left(-F\right)^{(N+3)/[2(N+1)]}$的函数形式。利用Born-Infeld的Lagrange密度，我们得到了一类新的带电黑洞，其作用量为$f(T) = -16β_{BI} \left[1 - \sqrt{1 + (T/4β_{BI})}\right]$ .

英文摘要：

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 $f(T) = -16β_{BI} \left[1 - \sqrt{1 + (T/4β_{BI})}\right]$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文