scholarly journals Is Teleparallel Gravity Really Equivalent to General Relativity?

2017 ◽  
Vol 530 (1) ◽  
pp. 1700175 ◽  
Author(s):  
Luciano Combi ◽  
Gustavo E. Romero
Keyword(s):  
General Relativity ◽  
Teleparallel Gravity

Energy–momentum distributions of Ruban universe in general relativity and teleparallel gravity

2019 ◽  
Vol 34 (03n04) ◽  
pp. 1950011 ◽  
Author(s):  
C. Aktaş
Keyword(s):  
General Relativity ◽  
Bianchi Type ◽  
Teleparallel Gravity ◽  
Type I ◽  
Universe Model ◽  
Zero Energy ◽  
Bianchi Type I ◽  
Momentum Distributions ◽  
Bianchi Type I Universe

In this study, we obtain Einstein, Bergmann–Thomson (BT), Landau–Lifshitz (LL), Møller, Papapetrou (PP) and Tolman energy–momentum (EM) distributions for Ruban universe model in general relativity (GR) and teleparallel gravity (TG). We obtain same results for Einstein, Bergmann–Thomson and Landau–Lifshitz energy–momentum distributions in GR and TG. Also, we get same results for Einstein and Tolman energy–momentum distributions in GR. The Møller energy–momentum results are different in GR and TG. Also, using Ruban universe model, we obtain LRS Bianchi type I solutions and we get zero energy–momentum results for this universe model in GR and TG. These results of LRS Bianchi type I universe model agree with Aygün et al., Taşer et al., Doğru et al., Banerjee–Sen, Tryon and Xulu in different gravitation theories.

scholarly journals The Spectrum of Teleparallel Gravity

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 80 ◽  
Author(s):  
Tomi Koivisto ◽  
Georgios Tsimperis
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Quadratic Form ◽  
Degrees Of Freedom ◽  
Arbitrary Dimension ◽  
Scalar Potential ◽  
Ultra Violet ◽  
Teleparallel Gravity ◽  
Frame Field ◽  
Covariant Derivation

The observer’s frame is the more elementary description of the gravitational field than the metric. The most general covariant, even-parity quadratic form for the frame field in arbitrary dimension generalises the New General Relativity by nine functions of the d’Alembertian operator. The degrees of freedom are clarified by a covariant derivation of the propagator. The consistent and viable models can incorporate an ultra-violet completion of the gravity theory, an additional polarisation of the gravitational wave, and the dynamics of a magnetic scalar potential.

scholarly journals Geometry of mass

2015 ◽  
Vol 373 (2047) ◽  
pp. 20140242 ◽  
Author(s):  
D. D. Dietrich
Keyword(s):  
General Relativity ◽  
Gauge Field ◽  
Gauge Theories ◽  
Teleparallel Gravity ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Pure Torsion ◽  
Massless Theory

We study the effect of mass on geometric descriptions of gauge field theories. In an approach in which the massless theory resembles general relativity, the introduction of the mass entails non-zero torsion and the generalization to Einstein–Cartan–Sciama–Kibble theories. The relationships to pure torsion formulations (teleparallel gravity) and to higher gauge theories are also discussed.

scholarly journals Disformal Transformations in Modified Teleparallel Gravity

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 152 ◽  
Author(s):  
Alexey Golovnev ◽  
María José Guzmán
Keyword(s):  
General Relativity ◽  
Torsion Tensor ◽  
Teleparallel Gravity ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Boundary Term ◽  
Jordan Frame ◽  
Explicit Formulas ◽  
Torsion Scalar ◽  
Geometric Objects

In this work, we explore disformal transformations in the context of the teleparallel equivalent of general relativity and modified teleparallel gravity. We present explicit formulas in components for disformal transformations of the main geometric objects in these theories such as torsion tensor, torsion vector and contortion. Most importantly, we consider the boundary term which distinguishes the torsion scalar from the Ricci scalar. With that we show for f ( T ) gravity that disformal transformations from the Jordan frame representation are unable to straightforwardly remove local Lorentz breaking terms that characterize it. However, we have shown that disformal transformations have interesting properties, which can be useful for future applications in scalar-torsion gravity models, among others.

scholarly journals Cosmological bouncing solutions in f(T, B) gravity

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Maria Caruana ◽  
Gabriel Farrugia ◽  
Jackson Levi Said
Keyword(s):  
General Relativity ◽  
Analytical Solutions ◽  
Teleparallel Gravity ◽  
Civita Connection ◽  
Levi Civita Connection

Abstract Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of f(T, B) where T and B are two scalars that characterize the equivalency with general relativity. In this work, we explore the possible of reproducing well-known cosmological bouncing scenarios in the flat Friedmann–Lemaître–Robertson–Walker geometry using this approach to gravity. We study the types of gravitational Lagrangians which are capable of reconstructing analytical solutions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce settings. These new cosmologically inspired models may have an effect on gravitational phenomena at other cosmological scales.

scholarly journals An Improved Framework for Quantum Gravity

Universe ◽  
2020 ◽  
Vol 6 (12) ◽  
pp. 243
Author(s):  
José G. Pereira ◽  
Diego F. López
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Special Relativity ◽  
Teleparallel Gravity ◽  
Inertial Forces ◽  
De Sitter ◽  
Alternative Approach

General relativity has two fundamental problems that render it unsuitable for tackling the gravitational field’s quantization. The first problem is the lack of a genuine gravitational variable representing gravitation only, inertial forces apart. The second problem is its incompatibility with quantum mechanics, a problem inherited from the more fundamental conflict of special relativity with quantum mechanics. A procedure to overcome these difficulties is outlined, which amounts to replacing general relativity with its teleparallel equivalent and the Poincaré-invariant special relativity with the de Sitter-invariant special relativity. Those replacements give rise to the de Sitter-modified teleparallel gravity, which does not have the two mentioned problems. It can thus be considered an improved alternative approach to quantum gravity.

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