Stationary axisymmetric solutions and their energy contents in teleparallel equivalent of Einstein theory
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In this article, the energy-momentum tensor is applied to calculate the energy content of the axisymmetric solutions of the tetrad theory of gravitation, and the results are compared with what have been obtained before within the framework of Einstein general relativity and Moller's tetrad theories.Abstract:
We apply the energy-momentum tensor which is coordinate independent to calculate the energy content of the axisymmetric solutions. Our results are compared with what have been obtained before within the framework of Einstein general relativity and Moller’s tetrad theory of gravitation.read more
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f(T) teleparallel gravity and cosmology
Yi-Fu Cai,Salvatore Capozziello,Mariafelicia De Laurentis,Emmanuel N. Saridakis,Emmanuel N. Saridakis,Emmanuel N. Saridakis +5 more
TL;DR: In this paper, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description.
Journal ArticleDOI
f(T) teleparallel gravity and cosmology
Yi-Fu Cai,Salvatore Capozziello,Mariafelicia De Laurentis,Emmanuel N. Saridakis,Emmanuel N. Saridakis,Emmanuel N. Saridakis +5 more
TL;DR: The role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description, and various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories are reviewed.
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Charged spherically symmetric black holes in f(R) gravity and their stability analysis
TL;DR: In this article, a new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (anti-)de Sitter spacetimes, is derived for specific classes of gravity.
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Constraining f(T) gravity in the Solar System
TL;DR: In this paper, the f(T) theories of gravity were used to solve the field equations for f (T)=T+α Tn in the weak-field approximation and for spherical symmetry spacetime.
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Exact Teleparallel Gravity of Binary Black Holes
TL;DR: An exact solution of two singularities in the teleparallel equivalent to general relativity theory has been obtained in this paper, where a holographic visualization of the binary black holes (BBHs) space-time, due to the non vanishing torsion scalar field, has been given.
References
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Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance
TL;DR: In this article, the authors present explicit models for a symmetry breakdown in the cases of the Weyl (or homothetic) group, the SL(4, R), or the GL(4-R) covering subgroup.