Charged black holes in generalized teleparallel gravity

In this paper we investigate charged static black holes in 4D for generalized teleparallel models of gravity, based on torsion as the geometric object for describing gravity according to the equivalence principle. As a motivated idea, we introduce a set of non-diagonal tetrads and derive the full sy...

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Published inJournal of cosmology and astroparticle physics Vol. 2013; no. 11; pp. I - 15
Main Authors Rodrigues, M E, Houndjo, M JS, Tossa, J, Momeni, D, Myrzakulov, R
Format Journal Article
LanguageEnglish
Published United States 01.11.2013
Subjects
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BLACK HOLES
Black holes (astronomy)
Charging
Cosmology
DE SITTER GROUP
DE SITTER SPACE
Differential equations
EQUIVALENCE PRINCIPLE
GEOMETRY
GRAVITATION
Mathematical models
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
Nonlinearity
Reconstruction
Torsion
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Summary:In this paper we investigate charged static black holes in 4D for generalized teleparallel models of gravity, based on torsion as the geometric object for describing gravity according to the equivalence principle. As a motivated idea, we introduce a set of non-diagonal tetrads and derive the full system of non linear differential equations. We prove that the common Schwarzschild gauge is applicable only when we study linear f(T) case. We reobtain the Reissner-Nordstrom-de Sitter (or RN-AdS) solution for the linear case of f(T) and perform a parametric cosmological reconstruction for two nonlinear models. We also study in detail a type of the no-go theorem in the framework of this modified teleparallel gravity.
Bibliography:ObjectType-Article-1
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ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2013/11/024