Dark torsion as the cosmic speed-up

Bengochea, Gabriel R.; Ferraro, Rafael

doi:10.1103/physrevd.79.124019

Cited by 1,075 publications

(1,119 citation statements)

References 48 publications

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“…[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] which followed the spirit of f (R) gravity (see Ref. [21] for a review) as a generalization of general relativity.…”

Section: Introductionmentioning

confidence: 99%

Generalizations of teleparallel gravity and local Lorentz symmetry

Sotiriou¹,

Li²,

Barrow³

2011

Phys. Rev. D

233

143

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this and explain why the situation is different in general relativity. We give a prescription for constructing teleparallel equivalents for known theories. We also explicitly consider a recently proposed class of generalized teleparallel theories, called f (T ) theories of gravity, and show why restoring local Lorentz symmetry in such theories cannot lead to sensible dynamics, even if one gives up teleparallelism.

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“…[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] which followed the spirit of f (R) gravity (see Ref. [21] for a review) as a generalization of general relativity.…”

Section: Introductionmentioning

confidence: 99%

Generalizations of teleparallel gravity and local Lorentz symmetry

Sotiriou¹,

Li²,

Barrow³

2011

Phys. Rev. D

233

143

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“…where κ is the N-dimensional gravitational constant given (12) with respect to the vielbein field b i μ and its first derivative gives the following field equations [33]:…”

Section: F (T ) Gravitational Theorymentioning

confidence: 99%

“…Therefore, guided by the construction of f (R) gravitational theory we are allowed to postulate the Lagrangian of the amended Einstein-Hilbert action as a function of the torsion scalar to extend TEGR in a natural way. This extension is called f (T ), where T is the teleparallelism scalar torsion, gravitational theory [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. It is necessary to note that in f (T ) theory the field equations are of second order while the field equations of f (R) are of fourth order.…”

Section: Introductionmentioning

confidence: 99%

Analytic rotating black-hole solutions in N-dimensional f(T) gravity

Nashed

Hanafy

2017

Eur. Phys. J. C

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A non-diagonal vielbein ansatz is applied to the N -dimension field equations of f (T ) gravity. An analytical vacuum solution is derived for the quadratic polynomial f (T ) = T + T 2 and an inverse relation between the coupling constant and the cosmological constant . Since the induced metric has off-diagonal components, it cannot be removed by a mere coordinate transformation, the solution has a rotating parameter. The curvature and torsion scalars invariants are calculated to study the singularities and horizons of the solution. In contrast to general relativity, the Cauchy horizon differs from the horizon which shows the effect of the higher order torsion. The general expression of the energy-momentum vector of f (T ) gravity is used to calculate the energy of the system. Finally, we have shown that this kind of solution satisfies the first law of thermodynamics in the framework of f (T ) gravitational theories.

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“…F (T ) theory is proposed best to account for the present accelerating expansion [6][7][8][9]. In teleparallel gravity (T P G), we use the Weitzenböck connection instead of using the Levi-Civita connection, which we usually used in GR.…”

Section: Introductionmentioning

confidence: 99%

“…Similar to GR, where the action involves the curvature scalar R, the action of T P G is obtained by simply replacing R with torsion scalar T . In analogy to the f (R) theory, Bengochea and Ferraro suggested [6] a modified T P G theory, named f (T ) theory, by generalizing the action of T P G,i.e., by replacing T with f (T ). They found that it can explain the observed acceleration of the universe.…”

Section: Introductionmentioning

confidence: 99%

Kantowski-Sachs Universe Models in f(T) Theory of Gravity

Amir

Yussouf

2015

Int J Theor Phys

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The f (T ) theory is recently proposed to explain the present cosmic accelerating expansion of the universe. f (T ) theory is an extension of Teleparallel theory of gravity, where T is the torsion scalar. This paper contains the construction of f (T ) models within the KantowskiSachs universe. For this purpose, we use conservation equation and equation of state parameter, which represents the different phases of the universe. We discuss possible cases for the matter dominated era, radiation dominated era, present dark energy phase and their combinations. Particularly, a constant solution has been obtained which may correspond to the cosmological constant. Further, we consider two well known f (T ) models and derive the equation of state parameter and discuss the cosmic acceleration. Also, the Hubble parameter and average scale factor have been evaluated.

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Dark torsion as the cosmic speed-up

Cited by 1,075 publications

References 48 publications

Generalizations of teleparallel gravity and local Lorentz symmetry

Generalizations of teleparallel gravity and local Lorentz symmetry

Analytic rotating black-hole solutions in N-dimensional f(T) gravity

Kantowski-Sachs Universe Models in f(T) Theory of Gravity

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