Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension

Understand

In this work, we calculate the classical solutions for the electrodynamics stemming from the Lorentz-violating (LV) and CPT-even term of the Standard Model Extension.

• The solutions for point-like and extended charges are obtained from the wave equations by means of the Green method.
• A dipolar expansion is written for the field strengths.
• It is explicitly shown that charge and current generate first order effects for the magnetic and electric fields, respectively.