Black Holes, Dark Wormholes and Solitons in f(T) Gravities

Abstract

By choosing an appropriate vielbein basis, we obtain a class of spherically-symmetric solutions in $f(T)$ gravities. The solutions are asymptotic to Minkowski spacetimes with leading falloffs the same as those of the Schwarzschild black hole. In general, these solutions have branch-cut singularities in the middle. For appropriately chosen $f(T)$ functions, extremal black holes can also emerge. Furthermore, we obtain wormhole configurations whose spatial section is analogous to an Ellis wormhole, but $-g_{tt}$ runs from 0 to 1 as the proper radial coordinate runs from $-\infty$ to $+\infty$. Thus a signal sent from $-\infty$ to $+\infty$ through the wormhole will be infinitely red-shifted. We call such a spacetime configuration a dark wormhole. By introducing a bare cosmological constant ${\Lambda }_0$, we construct smooth solitons that are asymptotic to local AdS with an effective ${\Lambda }_{\mathrm{eff}}$. In the middle of bulk, the soliton metric behaves like the AdS of bare ${\Lambda }_0$ in global coordinates. We also embed AdS planar and Lifshitz black holes in $f(T)$ gravities. Finally we couple the Maxwell field to the $f(T)$ theories and construct electrically-charged solutions.

Latex, 31 pages, 2 figures, typos corrected and a reference added

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• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Study of gravastars under $f(\mathbb{T})$ gravity
• Deflection angle and lensing signature of covariant f(T) gravity
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• Trapping Horizons of the Evolving Charged Wormhole and Black Bounce
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• High energy particle collisions in static, spherically symmetric black-hole-like wormholes
• New proper tetrad for teleparallel gravities in non-flat spacetime
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Cosmic Evolution of the Kantowski-Sachs Universe in the Context of a Bulk Viscous String in Teleparallel Gravity