Eur. Phys. J. Plus (2021) 136: 257
https://doi.org/10.1140/epjp/s13360-021-01228-y

Regular Article

Lifshitz scaling in CPT-even Lorentz-violating electrodynamics and GRB time delay

¹ Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, Brazil
² Instituto Federal de Educação, Ciência e Tecnologia do Sertão Pernambucano - campus Salgueiro, 56000-000, Salgueiro, Pernambuco, Brazil
³ Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, Paraíba, Brazil

^b thiago.muniz@ifsertao-pe.edu.br

Received: 15 September 2020
Accepted: 12 February 2021
Published online: 24 February 2021

Abstract

In this work, we consider the Hořava–Lifshitz scaling to rewrite higher-order derivatives in Lorentz-violating CPT-even electrodynamics. The possibility of the Lorentz invariance violation being originally suppressed by the quantum gravity energy scale $M_{\mathrm{QG}}$ may be indeed circumvented in a scenario with anisotropy between space and time above certain intermediate energy scale ${\mathrm{\Lambda }}_{\mathrm{HL}}\ll M_{\mathrm{QG}}$. To test the model, we have used observational results of a cosmological time delay between high and low-energy photons from gamma-ray bursts (GRB090510) event. For specific values of the Lifshitz critical exponent, we have found interesting lower bounds on the values of $M_{\mathrm{QG}}$.