Generation of large-scale magnetic fields from inflation in teleparallelism

Bamba, Kazuharu; Geng, Chao–Qiang; Luo, L.-W.

doi:10.1088/1475-7516/2012/10/058

Cited by 32 publications

(25 citation statements)

References 165 publications

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“…In f (T ) gravity, as an alternative to Einstein gravity or other modified gravities the basic dynamics is labeled by tetrads different aspects of f (T ) gravity have been studied in literature (Bengochea and Ferraro 2009;Linder 2010aLinder , 2010bWu and Yu 2011;Bamba et al 2010Bamba et al , 2011Bamba et al , 2012aBamba et al , 2012bBamba et al , 2013bBamba et al , 2014cGeng et al 2011;Chen et al 2011;Wu and Geng 2012;Izumi et al 2014;Li et al 2011;Geng et al 2011Geng et al , 2012Geng et al , 2013Xu et al 2012;Ong et al 2013;Izumi and Ong 2013;Yang 2011;Basilakos et al 2013;De Haro and Amoros 2013;Myrzakulov 2011). Let us to start by the general framework of f (T ) gravity.…”

Section: Generalized Teleparallel Gravitymentioning

confidence: 99%

“…People started to work on f (T ) gravity in the attempt to reproduce accelerated cosmology (Buchbinder et al 1992;Mukhanov and Winitzki 2007;Bamba et al 2010Bamba et al , 2011Bamba et al , 2012aBamba et al , 2013aBamba et al , 2014aBamba et al , 2014bOdintsov 2013, 2014;Amoros et al 2013Amoros et al , 2014Jamil et al 2012aJamil et al , 2012bJamil et al , 2012cJamil et al , 2013Momeni and Gholizade 2009;Momeni 2011;Bengochea and Ferraro 2009;Linder 2010aLinder , 2010bWu and Yu 2011;Geng et al 2011). For inflation see Fiorini (2007, 2008); Chen et al (2011); Wu and Geng (2012); Izumi et al (2014); Li et al (2011); Geng et al (2011Geng et al ( , 2013Geng et al ( , 2012; Xu et al (2012); Ong et al (2013); Izumi and Ong (2013); Yang (2011); Bamba et al (2012bBamba et al ( , 2013bBamba et al ( , 2014c; Basilakos et al (2013); De Haro and Amoros (2013).…”

Section: Introductionmentioning

confidence: 99%

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Trace-anomaly driven inflation in f(T) gravity with a cosmological constant

Güdekli

Myrzakulov

Yerzhanov

et al. 2015

Astrophys Space Sci

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In this paper, we have investigated trace-anomaly (TA) driven inflation in Generalized Teleparallel gravity (namely f (T )). A quasi de Sitter (dS) scenario for inflation is proposed like in the case of R 2 gravity. It has been found that in f (T ) gravity, the dS solution for inflation is unstable due to the conformal anomaly (CA). As an illustrative example, we have analyzed trace anomaly driven inflation in a T 2 + f (T )-model. Furthermore, a model with a non zero cosmological constant is studied. We have shown that dS solution always remains unstable also in the presence of cosmological constant, but for Anti dS (AdS) case the situation dramatically changes.

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Section: Generalized Teleparallel Gravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Trace-anomaly driven inflation in f(T) gravity with a cosmological constant

Güdekli

Myrzakulov

Yerzhanov

et al. 2015

Astrophys Space Sci

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“…The aforementioned strength problem is confronted by several proposed amplification mechanisms, operating within or beyond the framework of conventional electromagnetism (see for example [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]). The vector nature of the electromagnetic field guarantees that it couples to the curvature of space-time through the Ricci identities [46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Cosmic magnetization in curved and Lorentz violating space–times

Kouretsis

2014

Eur. Phys. J. C

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The presence of the large-scale magnetic fields is one of the greatest puzzles of contemporary cosmology. The symmetries of the electromagnetic field theory combined with the geometric structure of the FRW universe leads to an adiabatic decay of the primordial magnetic fields. Due to this rapid decay the residual large-scale magnetic field is astrophysically unimportant. A common feature among many of the proposed amplification mechanisms is the violation of Lorentz symmetries. We introduce an amplification mechanism within a Lorentz violating environment where we use Finsler geometry as our theoretical background. The mechanism is based on the adoption of a local anisotropic structure that leads to modifications on the Ricci identities. Thus, the wave-like equation of any vector source, including the magnetic field, is enriched by the Finslerian curvature theory. In particular limits, the remaining seed field can be strong enough to seed the galactic dynamo. In our analysis we also develop the 1+3 covariant formalism for the 4-vector potential in curved space-times.

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“…According to Kostelecky et al [6], the LV bounds are the same, either when the axial part or the trace-free part are used. Therefore, here we shall choose to use the trace-free vector part since according to Bamba et al [1] it is the best part of torsion to be used to deal with large-scale magnetic fields. Another important issue discussed in the next section, contrary to previous work, is that it is not necessary to use galactic dynamos to investigate astrophysical bounds in galaxies.…”

Section: Riemann-cartan Geometry and Lorentz Symmetry Breakingmentioning

confidence: 99%

“…Making use of Einstein teleparallelism Bamba et al [1] have computed an intercluster large-scale magnetic field at 1 Mpc of the order of 10 −9 G by adiabatic compression, where no galactic dynamo mechanism is needed. They argue that the presence of torsion trace vector components give more appreciable results than using other irreducible components of the torsion tensor in their version of telepallelism.…”

Section: Introductionmentioning

confidence: 99%

Lorentz violation bounds from torsion trace fermion sector and galaxy M 51 data and chiral dynamos

Andrade

2017

Eur. Phys. J. C

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Earlier we have computed a Lorentz violation (LV) bound for torsion terms via galactic dynamos and found bounds similar to the one obtained by Kostelecky et al. (Phys Rev Lett 100:111102, 2008) which is of the order of 10 −31 GeV. Their result was found making use of the axial torsion vector in terms of Dirac spinors and minimal torsion coupling in flat space-time of fermions. In this paper, a torsion dynamo equation obtained using the variation of the torsion trace and galaxy M51 data of 500 pc are used to place an upper bound of 10 −26 GeV in LV, which agrees with the one by Kostelecky and his group using an astrophysical framework background. Their lowest bound was obtained in earth laboratory using dual masers. One of the purposes of this paper is to apply the Faraday self-induction magnetic equation, recently extended to torsioned space-time, by the author to show that it lends support to physics in Riemann-Cartan space-time, in several distinct physical backgrounds. Backreaction magnetic effects are used to obtain the LV bounds. Previously Bamba et al. (JCAP 10:058, 2012) have used the torsion trace in their teleparallel investigation of the IGMF, with the argument that the torsion trace leads to less weaker effects than the other irreducible components of the torsion tensor. LV is computed in terms of a chiral-torsion-like current in the new dynamo equation analogous to the Dvornikov and Semikoz dynamo equation with chiral magnetic currents. Making use of the chiral-torsion dynamo equation we estimate the LV bounds in the early universe to be of the order of 10 −24 GeV, which was the order of the charged-lepton sector. Our main result is that it is possible to obtain more stringent bounds than the ones found in the fermion sector of astrophysics in the new revised 2017 data table for CPT and Lorentz violation by Kostelecky and Mewes. They found in several astrophysical backgrounds, orders of magnitude such as 10 −24 and 10 −23 GeV which are not so stringent as the one found here, of 10 −26 GeV, in the torsion fermionic sector with the help of galaxy M51 data. It is also shown that nona e-mail: garcia@dft.if.uerj.br gauge invariance of chiral dynamos and axial anomalies are obtained from the noninvariance of the electric fields under torsion spatial translations.

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Generation of large-scale magnetic fields from inflation in teleparallelism

Cited by 32 publications

References 165 publications

Trace-anomaly driven inflation in f(T) gravity with a cosmological constant

Trace-anomaly driven inflation in f(T) gravity with a cosmological constant

Cosmic magnetization in curved and Lorentz violating space–times

Lorentz violation bounds from torsion trace fermion sector and galaxy M 51 data and chiral dynamos

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