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

## Abstract

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.

- Authors:

- Faculdade de Física, PPGF, Universidade Federal do Pará, 66075-110, Belém, Pará (Brazil)
- Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Bénin (Benin)

- Publication Date:

- OSTI Identifier:
- 22525214

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2015; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; COORDINATES; ELECTRODYNAMICS; EQUATIONS OF MOTION; EXACT SOLUTIONS; GENERAL RELATIVITY THEORY; GRAVITATION; NONLINEAR PROBLEMS; SCALARS; SYMMETRY

### Citation Formats

```
Junior, Ednaldo L.B., Rodrigues, Manuel E., and Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr.
```*Regular black holes in f(T) Gravity through a nonlinear electrodynamics source*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/10/060.

```
Junior, Ednaldo L.B., Rodrigues, Manuel E., & Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr.
```*Regular black holes in f(T) Gravity through a nonlinear electrodynamics source*. United States. doi:10.1088/1475-7516/2015/10/060.

```
Junior, Ednaldo L.B., Rodrigues, Manuel E., and Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr. Thu .
"Regular black holes in f(T) Gravity through a nonlinear electrodynamics source". United States. doi:10.1088/1475-7516/2015/10/060.
```

```
@article{osti_22525214,
```

title = {Regular black holes in f(T) Gravity through a nonlinear electrodynamics source},

author = {Junior, Ednaldo L.B. and Rodrigues, Manuel E. and Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr},

abstractNote = {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.},

doi = {10.1088/1475-7516/2015/10/060},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 10,

volume = 2015,

place = {United States},

year = {2015},

month = {10}

}

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