Born-Infeld and charged black holes with non-linear source in<i>f</i>(<i>T</i>) gravity

Ednaldo, L. B.; Rodrigues, Manuel E.; Houndjo, M. J. S.

doi:10.1088/1475-7516/2015/06/037

Cited by 32 publications

(44 citation statements)

References 104 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the literature this feature is wrongly interpreted as "the diagonal tetrad is not a good tetrad for sperically-symmetric solutions in f (T ) gravity" [210,[262][263][264][265][266][267][268][269][270][271][272][273][274][275][276][277]. Following [128] we will show that the above issue is an artifact of the non-covariant formulation of f (T ) gravity.…”

Section: Restoring Local Lorentz Invariance In F (T ) Gravitymentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

View full text Add to dashboard Cite

Over the past decades, 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. Here we review various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f (T ) gravity, where f (T ) is an arbitrary function of the torsion scalar. Based on this theory, we further review the corresponding cosmological and astrophysical applications. In particular, we study cosmological solutions arising from f (T ) gravity, both at the background and perturbation levels, in different eras along the cosmic expansion. The f (T ) gravity construction can provide a theoretical interpretation of the late-time universe acceleration, alternative to a cosmological constant, and it can easily accommodate with the regular thermal expanding history including the radiation and cold dark matter dominated phases. Furthermore, if one traces back to very early times, for a certain class of f (T ) models, a sufficiently long period of inflation can be achieved and hence can be investigated by cosmic microwave background observations, or alternatively, the Big Bang singularity can be avoided at even earlier moments due to the appearance of non-singular bounces. Various observational constraints, especially the bounds coming from the large-scale structure data in the case of f (T ) cosmology, as well as the behavior of gravitational waves, are described in detail. Moreover, the spherically symmetric and black hole solutions of the theory are reviewed. Additionally, we discuss various extensions of the f (T ) paradigm. Finally, we consider the relation with other modified gravitational theories, such as those based on curvature, like f (R) gravity, trying to enlighten the subject of which formulation, or combination of formulations, might be more suitable for quantization ventures and cosmological applications. Contents

show abstract

Section: Restoring Local Lorentz Invariance In F (T ) Gravitymentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

View full text Add to dashboard Cite

show abstract

“…In the literature this feature is wrongly interpreted as "the diagonal tetrad is not a good tetrad for spherically-symmetric solutions in f (T ) gravity" [65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81].…”

Section: Spherically Symmetric Geometrymentioning

confidence: 99%

The covariant formulation of f ( T ) gravity

Krššák

Saridakis

2016

Class. Quantum Grav.

326

251

View full text Add to dashboard Cite

We show that the well-known problem of frame dependence and violation of local Lorentz invariance in the usual formulation of f (T ) gravity is a consequence of neglecting the role of spin connection. We re-formulate f (T ) gravity starting, instead of the "pure-tetrad" teleparallel gravity, from the covariant teleparallel gravity, using both the tetrad and the spin connection as dynamical variables, resulting in the fully covariant, consistent, and frame-independent, version of f (T ) gravity, which does not suffer from the notorious problems of the usual, pure-tetrad, f (T ) theory. We present the method to extract solutions for the most physically important cases, such as the Minkowski, the FRW and the spherically-symmetric ones. We show that in the covariant f (T ) gravity we are allowed to use an arbitrary tetrad in an arbitrary coordinate system along with the corresponding spin connection, resulting always to the same physically relevant field equations.

show abstract

“…In addition, the functional form of BI nonlinear theory of electrodynamics has been employed as gravitational theory as well [99,100]. For duality and other aspects of BI theory, we refer the reader to some interesting papers [101][102][103][104][105][106][107]. Due to these motivations and in order to have a better picture of charged three dimensional black holes in presence of massive gravity, we study two cases of linearly (Maxwell theory) and nonlinearly (BI theory) charged black hole solutions and investigate their thermodynamical properties.…”

Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

106

View full text Add to dashboard Cite

Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

show abstract

Born-Infeld and charged black holes with non-linear source inf(T) gravity

Cited by 32 publications

References 104 publications

f(T) teleparallel gravity and cosmology

f(T) teleparallel gravity and cosmology

The covariant formulation of f ( T ) gravity

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Contact Info

Product

Resources

About