^{1}

^{2}

^{1}

^{2}

^{3}.

We discuss the modified Maxwell action of a

The recent discovery of the Higgs boson at the LHC established a research program that aims to explain the physics of fundamental interactions, like excitations manifested from fundamental fields, ending a program of tremendous experimental predictions, the Standard Model (SM) of particle physics. This model has the merit of unifying the weak force and electromagnetism by the Anderson-Higgs mechanism. Nevertheless, it is known that the description of the SM without neutrino mass is unsatisfactory. Recent experiments indicate that the electrons have a bound for the electric dipole moment [

Lorentz violation theories are in the framework of Standard Model Extension (SME) [

The presence of terms that violate the Lorentz symmetry imposes at least one privileged direction in the spacetime [

In this work, we discuss free electromagnetic fields with a particular type of Lorentz symmetry violation: the vacuum reduction of a

The structure of this paper is as follows: in Section

We started off our analysis with the Maxwell action in the presence of the Lorentz violating term

By following [

By defining a normalized parameter four-vector

We start with the following modified Maxwell Lagrangian from the CPT-even

We can simplify the terms in the Lagrangian as follows:

The momentum energy tensor from the modified action can be written as

The modified Maxwell equations in the vacuum of a

The other two of the Maxwell equations, (

Considering a

We make an rearrangement and

Considering the electromagnetic wave propagating in the

(Color online) term of amplitude dependence on

(Color online) behavior of the scalar product of the linearly polarized electric field with the magnetic fields with dependence on

We can also consider the circularly polarized case, taking the electric field given by

(Color online) scalar product of the circularly polarized electric field with the magnetic fields with dependence on

(Color online) effect of the

(Color online) eccentricity of the ellipse in elliptical polarization of the magnetic field as a function of

We investigated the influence of CPT-even Lorentz violating contribution of a

We showed in this case that the Lorentz violation changes the amplitude of the magnetic field with respect to

The authors declare that they have no conflicts of interest.

The authors acknowledge the support by Projects FAPEMA-PRONEM-01852/14, FAPEMA-APCINTER-00273/14, Enxoval–UFMA PPPG N03/2014 (Brazil), UFMA-Res. no. 1342-CONSEPE Art1-III-1150/2015-33, UFMA-Res. no. 1342-CONSEPE Art1-IV-1151/2015-88, FAPEMA-UNIVERSAL-01401/16, and CNPq (Brazil). Thiago Prudêncio also thanks Federal University of Espirito Santo (UFES) for the hospitality in his visit, where this work was concluded as part of the collaboration FAPEMA PRONEM-01852/14.

^{199}Hg

_{F}-type Lorentz-symmetry breaking gauge models with vortexlike configurations